Water flows at 0.65 m/s through a 3.0 cm diameter hose that terminates in a 0.3 cm diameter nozzle. (Recall, the density of water is 1000 kg/m3.) (a) What is the speed of the water leaving the nozzle

Answers

Answer 1

Answer:

v2 = 65 m/s

the speed of the water leaving the nozzle is 65 m/s

Explanation:

Given;

Water flows at 0.65 m/s through a 3.0 cm diameter hose that terminates in a 0.3 cm diameter nozzle

Initial speed v1 = 0.65 m/s

diameter d1 = 3.0 cm

diameter (nozzle) d2 = 0.3 cm

The volumetric flow rates in both the hose and the nozzle are the same.

V1 = V2 ........1

Volumetric flow rate V = cross sectional area × speed of flow

V = Av

Area = (πd^2)/4

V = v(πd^2)/4 ....2

Substituting equation 2 to 1;

v1(πd1^2)/4 = v2(πd2^2)/4

v1d1^2 = v2d2^2

v2 = (v1d1^2)/d2^2

Substituting the given values;

v2 = (0.65 × 3^2)/0.3^2

v2 = 65 m/s

the speed of the water leaving the nozzle is 65 m/s


Related Questions


I MIND TRICK PLZ HELP LOL
Troy and Abed are running in a race. Troy finishes the race in 12 minutes. Abed finishes the race in 7 minutes and 30 seconds. If Troy is running at an average speed of 3 miles per hour and speed varies inversely with time, what is Abed’s average speed for the race?

Answers

Answer:

Explanation:

Let the race be of a fixed distance x

\(Average Speed = \frac{Total Distance}{Total Time}\)

Troy's Average speed = 3 miles/hr = x / 0.2 hr

x = 0.6 miles

Abed's Average speed = 0.6 / 0.125 = 4.8 miles/hr

A toy helicopter takes off and moves 6 m up and then 1 m back down. What
is the displacement of the helicopter?
A. 7 m
5 m up
C. 6 m
D. 1 m down

Answers

the answer is 5 m up AKA "B"

Part 3: Energy Conversions 7. Record your data in the chart and include at least 5 potential-kinetic energy conversions shown in your device's construction. Example Item Description of potential-kinetic energy conversion Example Book The book had gravitational potential energy when it was on the table. Then as the book fell off the table, it was in motion and had kinetic energy. 1 2 3 4 5

Answers

Here are five potential-kinetic energy conversions that could be shown in the construction of a device: Pendulum, Roller Coaster, Wind-up Toy, Elastic Slingshot, Windmill.

Pendulum: A pendulum consists of a weight attached to a string or rod, suspended from a fixed point. When the weight is lifted to a certain height, it possesses gravitational potential energy.

As the weight is released, it swings back and forth, converting the potential energy into kinetic energy. At the highest point of each swing, the weight briefly comes to a stop and has maximum potential energy, which is then converted back to kinetic energy as it swings downward.

Roller Coaster: In a roller coaster, potential-kinetic energy conversions occur throughout the ride. When the coaster is pulled up to the top of the first hill, it gains gravitational potential energy.

As the coaster descends, the potential energy is converted into kinetic energy, resulting in a thrilling and high-speed ride. Subsequent hills and loops continue to convert potential energy into kinetic energy and vice versa as the coaster moves along the track.

Wind-up Toy: Wind-up toys typically have a spring mechanism inside. When the toy is wound up, potential energy is stored in the wound-up spring. As the spring unwinds, it transfers its potential energy into kinetic energy, causing the toy to move or perform actions. The kinetic energy gradually decreases as the spring fully unwinds.

Elastic Slingshot: With an elastic slingshot, potential-kinetic energy conversions are evident when the slingshot is stretched. As the user pulls back on the elastic band, potential energy is stored.

Windmill: Windmills harness the kinetic energy of the wind and convert it into other forms of energy. As the wind blows, it imparts kinetic energy to the blades of the windmill. The rotating blades then transfer this kinetic energy into mechanical energy, which can be used for various purposes such as grinding grains or generating electricity.

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Lenore is on an inclined plane next to her truck. Holding her hands steady, she pushes a box up the plane and into her truck. Where can energy be
lost? (1 point)
O Friction between Lenore and the ground.
O Friction between the truck and the inclined plane.
O Friction between the box and the inclined plane.
O Friction between Lenore's hands and the box.

Answers

The energy is lost in friction between the box and the inclined plane while pushing the box up the plane and into her truck.

What is friction and where is the energy getting lost?Friction is the resistance of an object on the surface to move forward and is denoted by u.Here in this question Lenore is standing on an inclined plane along with her truck next to her.She is pushing the boxes up to her truck , so there comes a friction between the heavy boxes and ground.To keep it little weight the box could have been slided to avoid the friction.Hence the energy is getting lost in friction between box and the inclined plane.

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a car accelerate uniformly from rest to a speed of 20m/s in 8seconds.the mass of the car is 1200kg. calculate the acceleration of the car

Answers

Answer:3000

Explanation:

given:u=0v=20m/st= 8sec

thereforea=v-u/t=20-0/8=20/8=5/2 m/som=1200 kg

thereforef=ma=1200*5/2=600*5=3000N

What are the total positive charge and total negative charge in a solid copper penny that is electrically neutral

Answers

Answer:

a spark

Explanation:

a spark would be the most smartest

PLEASE HELP AS FAST AS POSSIBLE!!!!!!!! BEST ANSWER GETS BRAINLIEST!!!!!!!!!!

describe 3 everyday life examples of Electromagnetic Energy and what type of electromagnetic energy is used in the example you gave

thank you! it means a lot!​

Answers

Answer:

please give me BRAINLIEST answer

Explanation:

Electromagnetic radiation, in classical physics, the flow of energy at the universal speed of light through free space or through a material medium in the form of the electric and magnetic fields that make up electromagnetic waves such as radio waves, visible light, and gamma rays. In such a wave, time-varying electric and magnetic fields are mutually linked with each other at right angles and perpendicular to the direction of motion. An electromagnetic wave is characterized by its intensity and the frequency ν of the time variation of the electric and magnetic fields.

In which regions can the gravitational field strength due to the two planets be zero? Explain.

A. None
B. A, B and C
C. A and C
D. B

In which regions can the gravitational field strength due to the two planets be zero? Explain.A. NoneB.

Answers

Answer:

I believe its a and c but my notes are all kinds of messed up so im sorry if its wrong

Explanation:

None of the  regions can the gravitational field strength due to the two planets be zero.

What is gravitational field?

A gravitational field is a model used in physics to explain the effects that a large thing has on the area surrounding it, exerting a force on smaller, less massive bodies. Consequently, a gravitational field, which is measured in newtons per kilogram, is employed to describe gravitational processes.

Field due to given masses can not be zero in the given region they do not cancel each other.

None of the  regions can the gravitational field strength due to the two planets be zero.

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Density and height relation

Answers

Answer:

Explanation:

Density and height have a direct relation. As the height of an object increases, its density also increases. This is because the weight of the object increases with height, while the volume remains constant. Therefore, the density, which is the ratio of weight to volume, increases.

There are_
periods included in the periodic table.
Answer here
SUBMIT
s

Answers

Answer:

7

Explanation

There are currently seven complete periods in the periodic table, comprising the 118 known elements. Any new elements will be placed into an eighth period; see extended periodic table.

A machine that transforms electrical energy into mechanical energy to produce motion.
true or false

Answers

True? I think jdjsjexosjkxnd

A candle is sitting in front of a concave mirror at a distance of 12.2 cm. It is found that an image of the candle appears at 25.0 cm. What is the focal length of the mirror?

3.52 cm
8.20 cm
10.4 cm
22.1 cm

Answers

The focal length of the concave mirror is approximately option B. 8.20 cm,

To solve this problem, we can use the mirror equation, which relates the object distance (d_o), image distance (d_i), and the focal length (f) of a concave mirror. The equation is:

1/f = 1/d_o + 1/d_i

Given the object distance (d_o) is 12.2 cm and the image distance (d_i) is 25.0 cm, we can plug in these values to find the focal length (f):

1/f = 1/12.2 + 1/25.0

To solve for f, first find the common denominator and combine the fractions:

1/f = (25 + 12.2) / (12.2 * 25) = 37.2 / 305

Now, take the reciprocal of both sides to isolate f:

f = 305 / 37.2

After calculating, we get:

f ≈ 8.20 cm

Thus, the focal length of the concave mirror is approximately 8.20 cm, Therefore the correct option to option b.

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hich of the following is a minimal sum-of-products (SOP) equation that implements the same logic as the equation f(a, b, c) = a(b + c') + ac a. f = ab + ac b. f = ab + ac' + be c. f=a d. f = b(a + d) e. f = a(b + b)(b + c)

Answers

The minimal SOP equation that implements the same logic as the given equation is f = ab + ac.

What is SOP?

The sum of product (SOP) is a type of logic circuit used to represent a logical expression. It is also known as a canonical sum of products and is a type of canonical form. An SOP expression is composed of one or more product terms. Each product term is the logical AND of one or more literals and is separated from other product terms with a plus sign. The sum of product form of a logic expression is a sum of the product terms of the expression.

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1. Which mathematical function models the shape of a transverse wave?
a. Sine
b. Cosine
c. Tangent

2. What is the relationship between period and frequency?
a. Period is the inverse of frequency
b. Period is a multiple of frequency
c. Period is the quotient of frequency
d. Period is the sum of all the frequencies

Answers

A transverse wave can be modelled by a sine function

Period is the inverse of frequency

What is a wave?

A wave's period is the length of time it takes to complete one cycle, whereas its frequency is the number of times it cycles through in a second.

The relationship can be expressed mathematically as T = 1/f, where T is the period in seconds and f is the frequency in hertz (Hz).

This indicates that as a wave's frequency increases, so does its period, and the opposite is also true.

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The air temperature is 5 degrees Celsius. What is the wavelength of a 651 Hz sound wave?

Answers

Answer:

The speed of sound in air at 5°C is approximately 331.4 m/s.

To find the wavelength of a sound wave, we can use the formula:

wavelength = speed of sound / frequency

wavelength = 331.4 / 651

wavelength = 0.509 meters (or 50.9 centimeters)

Therefore, the wavelength of a 651 Hz sound wave in air at 5 degrees Celsius is approximately 0.509 meters.

Match the elements with the number of neutrons. (4 points)
1.
88 38 Sr
2.
39 19 Ka
3.
14 6 Carbon
4.
234 90 Thorium plus 4 2 Helium
a.
20
b.
50
c.
8
d.
74

Answers

The following elements are matched with their number of neutrons

1. 88 38 Sr - b. 50

2. 39 19 Ka - a. 20

3. 14 6 Carbon - c. 8

4. 234 90 Thorium plus 4 2 Helium - d. 74

To determine the number of neutrons for each element, we need to subtract the atomic number (which represents the number of protons) from the mass number (which represents the total number of protons and neutrons).

1. 88 38 Sr:

The atomic number of strontium (Sr) is 38, which means it has 38 protons. The mass number is 88. Subtracting the atomic number from the mass number: 88 - 38 = 50. Therefore, the number of neutrons in strontium is 50.

2. 39 19 Ka:

The atomic number of potassium (K) is 19, indicating 19 protons. The mass number is 39. Subtracting the atomic number from the mass number: 39 - 19 = 20. Hence, the number of neutrons in potassium is 20.

3. 14 6 Carbon:

The atomic number of carbon (C) is 6, representing 6 protons. The mass number is 14. Subtracting the atomic number from the mass number: 14 - 6 = 8. Thus, the number of neutrons in carbon is 8.

4. 234 90 Thorium plus 4 2 Helium:

The atomic number of thorium (Th) is 90, which means it has 90 protons. The mass number is 234. Subtracting the atomic number from the mass number: 234 - 90 = 144. However, there is also an additional helium (He) isotope mentioned with a mass number of 4 and atomic number of 2. Adding the number of neutrons from thorium and helium: 144 + 2 = 146. Hence, the number of neutrons in thorium plus helium is 146.

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Help my brain ain’t braining

Help my brain aint braining

Answers

The arrows are drawn in the figure which shows gravitational forces on each person on earth.

Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,

F∝ m₁.m₂

F ∝ 1/r²

F = G m₁,m₂÷r²

where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².

Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].

This is analogous with coulomb's law which gives force between two charges.

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Help my brain aint braining

The figure shows the cross-section of a hollow cylinder of inner radius a = 5.0 cm and
outer radius b = 7.0 cm. A uniform current density of 1.0 A/cm2 flows through the
cylinder parallel to its axis. Calculate the magnitude of the magnetic field at a distance
of d = 10 cm from the axis of the cylinder. (µ0 = 4π × 10−7 T.m/A)

The figure shows the cross-section of a hollow cylinder of inner radius a = 5.0 cm andouter radius b

Answers

The magnetic field of a hollow cylinder can be calculated by the Biot-Savart law which can be represented as:`\(d\vec{B} = \frac{\mu_0}{4\pi} \frac{Id\vec{l} \times \vec{r}}{r^2}\)

Where:• I is the current through the wire• dℓ is an infinitesimal segment of the wire• r is the distance from the wire to the point of interest• μ₀ is the permeability of free space Biot-Savart's law can be used to determine the magnetic field produced by any current distribution.

Furthermore, this law is a consequence of the equation describing how a magnetic field induces an electric field and vice versa.

In this case, the cylinder's magnetic field at a distance of d = 10 cm from the axis of the cylinder can be calculated as follows:Given; Inner radius a = 5.0 cm

Radius of cylinder b = 10 cmµ

0 = 4π × 10−7 T.m/A

Formula to be used;`

B= (µ0 * I * a^2)/2 * (d^2 + a^2)^(3/2)`

Here, a = 5 cm

and d = 10 cm.

Substituting the values;

`B = (4 * π * 10^−7 * I * (5*10^−2)^2)/(2 * (10*10^−2^2 + (5*10^−2)^2)^(3/2))`

On solving the above equation, we get;`B = 1.33 × 10^-9 * I T`

Therefore, the magnitude of the magnetic field at a distance of d = 10 cm from the axis of the cylinder is `1.33 × 10^-9 * I T`.

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a ball hits the wall and reverses courses. According to newtons 3rd law which of these must be true

Answers

The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball. So, the correct answer is A.

Newton's 3rd law of motion states that for every action, there is an equal and opposite reaction. The action is the force that the ball exerts on the wall, and the reaction is the force that the wall exerts back on the ball. When the ball hits the wall, it exerts a force on the wall. This force is equal in magnitude but opposite in direction to the force that the wall exerts back on the ball. This is why the ball reverses course. Therefore, option A is correct.

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--The complete Question is, Which of the following statements is true according to Newton's 3rd law when a ball hits a wall and reverses course?

A) The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball.

B) The ball exerts a force on the wall, but the wall does not exert a force on the ball.

C) The wall exerts a force on the ball, but the ball does not exert a force on the wall.

D) The ball and the wall do not exert any forces on each other. --

Two small objects each with a net charge of +Q exert a force of magnitude F on each other. We replace one of the objects with another whose net charge is + 4Q. We move the +Q and +4Q charges to be 3 times as far apart as they were. What is the magnitude of the force on the +4Q charge ?

A. F

B. 4F

C. 4F/3

D. 4F/9

E. F/3

Answers

Answer:

F'= 4F/9

Explanation:

Two small objects each with a net charge of +Q exert a force of magnitude F on each other. If r is the distance between them, then the force is given by :

\(F=\dfrac{kQ^2}{r^2}\) ...(1)

Now, if one of the objects with another whose net charge is + 4Q is replaced and also the distance between +Q and +4Q charges is increased 3 times as far apart as they were. New force is given by :

\(F'=\dfrac{kQ\times 4Q}{(3r)^2}\\\\F'=\dfrac{4kQ^2}{9r^2}\).....(2)

Dividing equation (1) and (2), we get :

\(\dfrac{F}{F'}=\dfrac{\dfrac{kQ^2}{r^2}}{\dfrac{4kQ^2}{9r^2}}\\\\\dfrac{F}{F'}=\dfrac{kQ^2}{r^2}\times \dfrac{9r^2}{4kQ^2}\\\\\dfrac{F}{F'}=\dfrac{9}{4}\\\\F'=\dfrac{4F}{9}\)

Hence, the correct option is (d) i.e. " 4F/9"

How do we turn uranium into electrical energy we can use (describe the power plant)?

Answers

Answer:

Nuclear Power Plant

Explanation:

Heat produced during nuclear fission to heat water. In nuclear fission, atoms are split apart to form smaller atoms, releasing energy. Fission takes place inside the reactor of a nuclear power plant. At the center of the reactor is the core, which contains uranium fuel.

A car is driving on a gravel road at a speed of 12 m/s. The car maintains this speed for 10 seconds. Going around a bend the car reduces speed to 5 m/s during the next 5 seconds. Over the last 15 seconds the car increases its speed with 2 m/s every second. Determine the maximum and minimum values for both axes.

Answers

The maximum distance covered by the car from point A to B will be 120 meters, and the minimum distance covered by the car will be 25 meters.

What is Speed?

Measuring is the most important scientific concept. Many different types of quantifiable quantities can be measured using base or physical fundamental units. One such quantifiable quantity is speed, which computes the proportion of a moving object's distance travelled to its travel time.

According to the question,

Point A and B are taken on X-axis and point B,C and D are taken on y-axis.

On going from point A to B,

Time taken= 10 seconds

Speed= 12 m/s

Distance covered will be : Speed × time

=12 × 10 sec

Distance= 120 meters

On going from Point B to C,

Time taken= 5 Seconds

Speed= 5 m/s

Distance covered by car will be : Speed × Time

=5 × 5 sec

Distance= 25 meters.

Now, On going from point C to D,

Time taken= 15 seconds

Speed= 2 m/s

Distance covered = speed × time

= 2 × 15 sec

Distance= 30 meters

Hence, the maximum distance covered by car is 120 meters when it goes from point A to B and the minimum distance covered by car is 25 meters when it goes from Point B to C.

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where is a positive constant and is the acceleration due to gravity, is a model for the velocity of a body of mass that is falling under the influence of gravity. Because the term represents air resistance, the velocity of a body falling from a great height does not increase without bound as time increases. Use a phase portrait of the differential equation to find the limiting, or terminal, velocity of the body. Explain your reasoning.

Answers

Answer:

  \(v_{T}\) = \(\frac{b}{m}\)  g

Explanation:

For this exercise we use Newton's second law

         ∑ F = m a

where they relate it is

        a = dv / dt

        v = dx / dt

 

in this case we have two forces: the weight of the body and the friction of the air

       fr -W = m a

there are several ways to approximate the friction force in a fluid, if the velocity of the body is low we can use

       fr = b v

for high speeds, higher power speed terms are entered

we substitute

        b v - m g = m dv / dt

       \(\frac{dv}{dt}\) = \(\frac{b}{m}\) v -g

We can see that as the speed increases, we reach the point that the term on the right is zero, at this point there is no acceleration, therefore the speed is constant and is called the terminal velocity.

         0 =\(\frac{b}{m} \ v_T\) -g

         \(v_{T}\) = \(\frac{b}{m}\)  g

the constant b is given by the conditions of the air, pressure, density and temperature

An isolated charged conductor sphere of radius 12cm has an electric field 49000 N/C at distance 21cm its center
What is its surface charge denisty

Answers

The surface charge density of the isolated charged conductor sphere is approximately 22.15 \(C/m^{2}\)

The surface charge density of an isolated charged conductor sphere can be determined using the formula:

σ = E / (\(4πr^{2}\))

where σ is the surface charge density, E is the electric field strength, and r is the distance from the center of the sphere.

In this case, the electric field strength E is given as 49000 N/C, and the distance from the center of the sphere r is 21 cm (which can be converted to meters as 0.21 m). Plugging these values into the formula, we have:

σ = (49000 N/C) / \((4π * (0.21 m)^{2})\)

Calculating this expression, we find:

σ ≈ 22.15 \(C/m^{2}\)

Therefore, the surface charge density is approximately 22.15 \(C/m^{2}\). This indicates the amount of charge per unit area distributed on the surface of the sphere.

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1- Show that the equation d=vt2
dimensionally correct or not?

Answers

- Show that the equation d=vt2 dimensionally correct or not? ... nalsn7 is waiting for your help. Add your answer and earn points.

2 (a) A plane from airport A flies 280 km to the east to airport B. The plane then travelled north to airport C, 190 km away. (i) Sketch the displacement of the plane. (ii) Determine the resultant displacement. [5 marks] [ANS: DIY, DIY, 338 km, 34.16° from north of east]​

Answers

Answer:

See below

Explanation:

See attached diagram

280 km   east then 190 km north

Use Pythagorean theorem to find the resultant displacement

d^2 = 280^2 + 190^2

d = 338.4 km

Angle will be    arctan ( 190/280) = 34.16 °

2 (a) A plane from airport A flies 280 km to the east to airport B. The plane then travelled north to

2. What are the characteristics of a gas?
a definite volume and definite shape
a definite shape but no definite volume
no definite shape or definite volume
no definite shape but a definite volume

Answers

Answer:

No definite shape or definite volume

Explanation:

Gases have lower density than other states of matter, such as solids and liquids. There is a great deal of empty space between particles, which have a lot of kinetic energy

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what is the object's position at 6s?​

what is the object's position at 6s?

Answers

Answer:

6sec and 8 postion

Explanation:

A uniform electric field ai + bj intersects a surface of area A. What is the flux through this area if the surface lies (a) in the yz plane? (b) in the xz plane? (c) in the xy plane?

Answers

Answer:

Explanation:

The electric flux through a surface is given by the dot product of the electric field and the area vector of the surface:

Φ = E · A

where Φ is the electric flux, E is the electric field, and A is the area vector of the surface.

(a) If the surface lies in the yz plane, its area vector is in the x direction. Therefore, the area vector can be written as A = Ax i, where Ax is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Ax i) = aAx

(b) If the surface lies in the xz plane, its area vector is in the y direction. Therefore, the area vector can be written as A = Ay j, where Ay is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Ay j) = bAy

(c) If the surface lies in the xy plane, its area vector is in the z direction. Therefore, the area vector can be written as A = Az k, where Az is the magnitude of the area. The electric field is given as E = ai + bj. Therefore, the flux through the surface is:

Φ = E · A = (ai + bj) · (Az k) = 0

since the dot product of perpendicular vectors is zero.

PLZ help asap :-/
............................ ​

PLZ help asap :-/............................

Answers

Explanation:

[16]

\(\underline{\boxed{\large{\bf{Option \; A!! }}}} \)

Here,

\(\rm { R_1} \) = 2Ω\(\rm { R_2} \) = 2Ω\(\rm { R_3} \) = 2Ω\(\rm { R_4} \) = 2Ω

We have to find the equivalent resistance of the circuit.

Here, \(\rm { R_1} \) and \(\rm { R_2} \) are connected in series, so their combined resistance will be given by,

\(\longrightarrow \rm { R_{(1,2)} = R_1 + R_2} \\ \)

\(\longrightarrow \rm { R_{(1,2)} = (2 + 2) \; Omega} \\ \)

\(\longrightarrow \rm { R_{(1,2)} = 4 \; Omega} \\ \)

Now, the combined resistance of \(\rm { R_1} \) and \(\rm { R_2} \) is connected in parallel combination with \(\rm { R_3} \), so their combined resistance will be given by,

\(\longrightarrow \rm {\dfrac{1}{ R_{(1,2,3)}} = \dfrac{1}{R_{(1,2)}} + \dfrac{1}{R_3} } \\ \)

\(\longrightarrow \rm {\dfrac{1}{ R_{(1,2,3)}} = \Bigg ( \dfrac{1}{4} + \dfrac{1}{2} \Bigg ) \;\Omega} \\ \)

\(\longrightarrow \rm {\dfrac{1}{ R_{(1,2,3)}} = \Bigg ( \dfrac{1 + 2}{4} \Bigg ) \;\Omega} \\ \)

\(\longrightarrow \rm {\dfrac{1}{ R_{(1,2,3)}} = \Bigg ( \dfrac{3}{4} \Bigg ) \;\Omega} \\ \)

Reciprocating both sides,

\(\longrightarrow \rm {R_{(1,2,3)}= \dfrac{4}{3} \;\Omega} \\ \)

Now, the combined resistance of \(\rm { R_1} \), \(\rm { R_2} \) and \(\rm { R_3} \) is connected in series combination with \(\rm { R_4} \). So, equivalent resistance will be given by,

\(\longrightarrow \rm {R_{(1,2,3,4)}= R_{(1,2,3)} + R_4} \\ \)

\(\longrightarrow \rm {R_{(1,2,3,4)}= \Bigg ( \dfrac{4}{3} + 2 \Bigg ) \; \Omega} \\ \)

\(\longrightarrow \rm {R_{(1,2,3,4)}= \Bigg ( \dfrac{4 + 6}{3} \Bigg ) \; \Omega} \\ \)

\(\longrightarrow \rm {R_{(1,2,3,4)}= \Bigg ( \dfrac{10}{3} \Bigg ) \; \Omega} \\ \)

\(\longrightarrow \bf {R_{(1,2,3,4)}= 3.33 \; \Omega} \\ \)

Henceforth, Option A is correct.

_________________________________

[17]

\(\underline{\boxed{\large{\bf{Option \; B!! }}}} \)

Here, we have to find the amount of flow of current in the circuit. By using ohm's law,

\( \longrightarrow \) V = IR

\( \longrightarrow \) 3 = I × 3.33

\( \longrightarrow \) 3 ÷ 3.33 = I

\( \longrightarrow \) 0.90 Ampere = I

Henceforth, Option B is correct.

____________________________

\( \tt \purple{Hope \; it \; helps \; you, Army! \heartsuit } \\ \)

PLZ help asap :-/............................
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