How does the working distance of a microscope chnage when you increase the magnification?

Answer:

E-Community

Explanation:

edge 2021

Answer:

The answer would be option E- community

Explanation:

Hope this helped :)

edg 2022

The wavelength of the light beam having a frequency of 6 × 1017 hz is 0.05 nm.

To calculate the wavelength of a light beam, we can use the formula:

λ = c/f

Where λ is the wavelength, c is the speed of light and f is the frequency of the light.

The speed of light is approximately 3 x 10^8 m/s, we can use this value to find the wavelength.

λ = c/f

λ = (3 x 10^8 m/s) / (6 x 10^17 Hz)

λ = 0.05 nm

So the wavelength of the light beam is 0.05 nm.

It's important to mention that the wavelength is inversely proportional to the frequency, meaning if the frequency is high the wavelength is short and if the frequency is low the wavelength is long.

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Explanation:

good luck with the one that was on the one that has to be done

The minimum coefficient of static friction required to prevent the box from sliding is μ > (a/g), which is option d).

In this scenario, the box is in a state of rest before the truck accelerates. Once the truck starts accelerating, a pseudo-force acts on the box in the direction opposite to the acceleration of the truck. In order for the box to not slide, the force of friction between the box and the flatbed of the truck must be equal to the maximum value of the static friction. This maximum value of static friction can be calculated using the formula:
\(f_{max}\) = μ\(_s\) * N
where \(f_{max}\) is the maximum force of static friction, μ\(_s\) is the coefficient of static friction, and N is the normal force acting on the box.
In this case, the normal force acting on the box is equal to its weight, which is given by:
N = mg
where m is the mass of the box and g is the acceleration due to gravity.
Now, we can set up an equation for the net force acting on the box in the direction of the truck's acceleration:
\(f_{net}\) = \(f_{friction}\) - \(f_{pseudo}\)
where \(f_{friction}\) is the force of friction, and \(f_{pseudo}\) is the pseudo force acting on the box.
Since the box is not sliding, \(f_{friction}\) = \(f_{max}\), and \(f_{pseudo}\) = ma, where a is the acceleration of the truck.
Substituting the values, we get:
μ\(_s\) * mg = m * a
Simplifying, we get:
μ\(_s\) = a/g

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Since it takes exactly 2 minutes and 52 seconds to travel that distance ,your average speed is 29.07 m/s

Average speed is the total distance travelled/time taken for the distance.

Given that Freeways in Australia have a maximum speed of 100kph (27.78m/s) and an average speed camera measured the time over the course of 5km and found that it took me exactly 2 minutes and 52 seconds to travel that distance,

Since the average speed = total distance/total time, substituting the values of the variables into the equationm we have

average speed = total distance/total time

average speed = 5000 m/172 s

= 29.07 m/s

So, your average speed is 29.07 m/s

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Answer:

Explanation:

Given data

initital velocity u=15m/s

deceleration a=3m/s^2

time t= 4 seconds

final velocity v= ?

Applying the expression

v=u+at------1

substituting our data into the expression we have

v=15+3*4

v=15+12

v=27m/s

The velocity after 4 seconds is 27m/s

Answer:

W = 600 N

Explanation:

The mechanical advantage of any machine is the ratio of the load or weight to the effort applied. Hence, the general formula for mechanical advantage is as follows:

M.A = W/P

where,

M.A =Mechanical Advantage of Hammer = 10

W = Maximum force that could be generated = ?

P = Force created by me = 60 N

Therefore,

10 = W/60 N

W = 10*60 N

W = 600 N

Answer:

4 N

Explanation:

mass = 2 kg

acceleration = 2 m/s^2

Force = mass * acceleration

         = 2 *2

         = 4 N

The value of the y-component for this position vector in the first quadrant is 20 meters.

A position vector in the first quadrant has both its x and y components positive. In this case, the x-component is given as 15 m, and the magnitude of the vector is 25 m. To find the y-component, we can use the Pythagorean theorem for vectors:

Magnitude² = (x-component)² + (y-component)²

Since we know the magnitude (25 m) and the x-component (15 m), we can plug in these values and solve for the y-component:

(25 m)² = (15 m)² + (y-component)²
625 m² = 225 m² + (y-component)²

Now, we can rearrange the equation to isolate the y-component:

(y-component)² = 625 m² - 225 m²
(y-component)² = 400 m²

To find the y-component, we take the square root of both sides:

y-component = √(400 m²)
y-component = 20 m

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The angle of refraction in the glass is determined as 28.7⁰.

The angle of refraction in the glass is calculated by applying Snell's Law as follows;

n₁sin(θ₁) = n₂sin(θ₂)

where;

Make the angle of refraction the subject of the formula and solve for it;

sin(θ₂)/n₁sin(θ₁) = n₁/ n₂

sin(θ₂)/sin(46)  = 1/1.5

sin(θ₂) = 0.479

θ₂ = arc sin (0.479)

θ₂ = 28.7⁰

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The claim that can be deduced is that B. Warmer weather caused Galetown to have more severe rainstorms.

It should be noted that a claim simply means the stance of an author in a literary work.

In this case, the claim is that warmer weather caused Galetown to have more severe rainstorms.

When the temperature of an air parcel begins higher, this will make it rise higher in the troposphere before the temperature of the air parcel and surrounding air are equal.

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In order to find which balls will be shown in the mirror, we need to draw light rays going from the eye of the observer into the ends of the mirror.

Then, the reflected rays will create a region, and every ball inside this region can be observed in the mirror.

So we have:

We can see that only ball A is inside the reflected region, therefore only ball A will be seen in the mirror.

Therefore the answer is the third option: A only.

The magnitude of acceleration of the car is  1.70 \(m/s^{2}\) .

Acceleration is the rate of change of velocity with respect to time.

Mass of the car = 711 kg

Force exerted by the Student 1 = \(F_1\) =  638 N

Force exerted by the Student 2 = \(F_2\) =  573 N

Total force exerted on the car = F  = \(F_1\) + \(F_2\)

F = 638 + 573

F = 1,211 N

As we know that, Force is the product of mass and acceleration i.e.

F = m * a

\(a = \frac{F}{m}\)

a = \(\frac{1211}{711}\)

a = 1.70 \(m/s^{2}\)

The magnitude of acceleration of the car is  1.70 \(m/s^{2}\) to push it to a car mechanic.

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According t the question, In general, if the magnetic field is applied for a total time T, the final state of the system will be a linear combination of the initial state and the state that would have been obtained after performing a rotation of the spin by an angle 2πT/T.

What is the linear ?

Linear equations are mathematical equations that involve one or more variables. They take the form of ax + b = 0, where a and b are constants, and x is the variable. Linear equations are used to model problems involving direct proportionality, such as a change in one variable having a proportional effect on another variable. Linear equations can be used to solve a variety of problems, including those involving geometry, algebra, and probability. They can also be used to make predictions about future events or trends. Linear equations are an important part of mathematics, and they are used in a variety of scientific and engineering fields.

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The velocity (v) of a wave set up in a stretched string, caused by plucking it, can be described by the equation \(V = kF^x * l^y * m^z.\)

In this equation, F represents the tension in the string, l represents the length of the string, and m represents the mass of the string.

The exponents x, y, and z represent the respective powers to which the tension, length, and mass are raised. The values of x, y, and z depend on the specific characteristics of the string and the wave being produced.

The constant k represents the proportionality constant that relates the tension, length, and mass to the velocity of the wave. Its value is determined experimentally or can be derived from theoretical considerations.

This equation shows the dependence of the wave velocity on various parameters such as tension, length, and mass. By adjusting these parameters, we can manipulate the wave velocity in the string, thereby affecting the properties of the wave, such as frequency and wavelength.

Therefore, It is important to note that the specific values of x, y, and z, as well as the constant k, would need to be determined through experimentation or derived based on the specific properties of the string and the wave under consideration.

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The answer that the moon of Earth is unusually large is correct.

As all other options, in one way or another, refer to factual information about our solar system, such as the fact that the number of small rocky planets is equal to the number of large gas-rich planets and that planets and moons typically orbit in the same plane.

The Sun and the planets and objects  that orbit it make up the gravitationally bound system known as the Solar System. A massive interstellar molecular cloud gravitationally collapsed to make it 4.6 billion years ago. The Sun contains the great majority of the system's mass, with Jupiter holding the lion's share of the remaining mass.

In our solar system, Earth, Mars, Mercury and Venus are terrestrial, or rocky, planets means they are made up of rock, stones and have territorial area.

So, now we can say that “the earth has an unusually large moon” is the correct option.

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Answer:

Explanation:

What is a free body diagram?

Answer: a force diagram is a graphical illustration used to visualize the applied forces and resulting reactions on a body in a given condition

Drawing a free-body diagram for this problem

Answer: Look at the attached picture, ask me any questions if you are still confused. It is a little messy since I didn't have my pen.

Find its weight on Earth

Answer: The weight is dependent on the mass of the object and the gravitational constant on the planet. The gravitational constant, in this case, is 9.8.

   so the weight = mass * gravitational constant = m * g = 1000 * 9.8

                          = 9800 N

Hope that helps!

To design a synchronous counter that goes through the sequence 6 5 4 1 2 3 and repeat using JK and D flip-flops, a state diagram is required to illustrate the output of the flip-flops at each clock cycle.

The state diagram should have six states, each representing one of the six numbers in the sequence. The flip-flops must be connected in such a way that they change state at each clock pulse, and the output must match the desired sequence.

If the counter initially starts in one of the unused states, it will eventually cycle back to the beginning of the sequence after a few clock cycles. The unused states will be ignored as the counter only needs to count up to 6 before repeating the sequence. This means that any time the counter enters an unused state, it will be corrected as it continues through the sequence.

It is essential to ensure that the counter does not get stuck in any of the unused states, and the state diagram should reflect this to avoid errors in counting. With careful design and implementation, a synchronous counter that goes through the desired sequence using JK and D flip-flops can be realized.

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Because the particles in solids and liquids are so near to one another, they are frequently referred to that as condensed phases.

A form of substance known as a liquid has special properties that make this less stiff than a firm but even more rigid than that of a gas. Unlike a solid, which has a defined form, a liquid may flow. In contrast, a liquid takes on the form of the container it is kept in.

The three particles of matter are indeed the solid, liquid, and gaseous phases that matter may adopt in the majority of settings. Extreme environments could contain other states like plasma, Bose-Einstein condensed, and neutron stars.

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The existence of black holes does not provide direct evidence for the Big Bang theory. The other options all have a direct connection to the Big Bang theory.

It is a faint, uniform glow of microwave radiation that fills the entire universe. The CMB was first detected in 1964, and its discovery is considered one of the most important pieces of evidence in support of the Big Bang theory.

The CMB is thought to be the residual heat left over from the Big Bang itself.

The abundance of light elements, such as hydrogen and helium, in the universe is another important piece of evidence in support of the Big Bang theory.

According to the theory, the universe began as a hot, dense, and uniform state, and as it expanded and cooled, protons and neutrons began to combine to form the nuclei of atoms.

.

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Answer:

Q= -6900 J

Explanation:

use the formula Q=mC(T_2 - T_1) and sub in givens

Q=mC(T_2 - T_1)

Q= (200 g)(0.444 J/g°C)(22-100)

Q= -6900 J

The negative sign means heat is lost, which agrees with the decrease in temperature

Answer:

338.7cm

Explanation:

The can of corn would be in the shape of a cylinder. Since we are looking at capacity, we will want to find the volume.

V=abase×h

V=πr2×h

V=π(d2)2×h

V=π(6.62)2×9.9

V=338.7cm3

Hopefully this helps!

Answer:

338.7 cm³

Explanation:

For this question you use the volume formula of a cylinder πr²h.

Radius is 1/2 the diameter.

Simply input the variables into the formula.

π(3.3)²×9.9 = 107.811π or approximately 338.7 cm³

Better identification of novel species is made possible by categorization.

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Explanation:

To find the orbital period of an object without knowing its orbital speed and mass, but knowing 4 different radii, you can use Kepler's third law.

Kepler's third law states that the square of the orbital period (T) of a planet or satellite is proportional to the cube of the semi-major axis (a) of its orbit. The semi-major axis is half of the longest diameter of the elliptical orbit.

The formula for Kepler's third law is:

T^2 = (4π^2 / GM) * a^3

Where T is the orbital period, G is the gravitational constant, M is the mass of the central body around which the object is orbiting, and a is the semi-major axis.

To use this formula, you need to know the semi-major axis of the orbit. If you have 4 different radii, you can calculate the semi-major axis by taking the average of the maximum and minimum radii.

Once you have the semi-major axis, you can plug it into the formula along with the other known values and solve for T. Keep in mind that the units of T will depend on the units used for G, M, and a.

The falling water generates 4 x 10⁸ W of power.

Power is defined as the amount of energy applied per unit of time.

Power = energy/time

The energy here is potential energy due to the fall of water:

P = mgh/t

where,

g = gravity acceleration = 10m/s²

h = 50 m

m = 80 tonnes

    = 80000 kg

Therefore,

P = (80000) kg (10m/s²)(50 m)

P = 4 x 10⁸ W

Therefore the power of freefalling water is 4 x 10⁸ W.

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The radioactive decay equation for thorium-232 is \(Th^{232} - > Ra^{228} + He^{4}\). To find the radioactive radiation activity of 10 g of thorium, calculate the number of nuclei using Avogadro's number and the decay constant. For the activity after 10 years, use the radioactive decay law with the appropriate values.

a) The radioactive decay equation for thorium-232 (\(Th^{232}\)) can be written as follows:

\(Th^{232} - > Ra^{228} + He^{4}\)

In this equation, thorium-232 undergoes alpha decay, transforming into radium-228 and emitting an alpha particle (helium-4 nucleus).

b) To find the radioactive radiation activity of 10 g of thorium, we need to calculate the number of thorium-232 nuclei in the given sample. First, we find the number of moles of thorium-232 by dividing the mass of the sample by its molar mass. The molar mass of thorium-232 is approximately 232 g/mol. Thus, the number of moles is:

Number of moles = 10 g / 232 g/mol

Next, we calculate the number of thorium-232 nuclei using Avogadro's number, which is approximately 6.022 × \(10^{23}\) nuclei/mol:

Number of nuclei = Number of moles × Avogadro's number

Finally, we determine the radioactive radiation activity (A) by multiplying the number of nuclei by the decay constant (λ). The decay constant (λ) is related to the half-life (T1/2) of thorium-232 through the equation:

λ = ln(2) / T1/2

The decay constant represents the probability of decay per unit time. Therefore, the activity can be calculated as:

Activity = λ × Number of nuclei

c) To find the activity after 10 years, we use the radioactive decay law, which states that the activity of a radioactive substance decreases exponentially with time. The remaining activity (A_t) after a given time (t) is given by the equation:

\(A_t = A_0 * (1/2)^{t/T1/2}\)

Where A_0 is the initial activity at t = 0. Substituting the initial activity calculated in part b, the decay constant, and the desired time of 10 years, we can determine the activity after 10 years.

In summary, the radioactive decay equation for thorium-232 is \(Th^{232} - > Ra^{228} + He^{4}\) . To find the radioactive radiation activity of 10 g of thorium, calculate the number of nuclei and multiply it by the decay constant. For the activity after 10 years, use the radioactive decay law and substitute the appropriate values.

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Answer:

36g

Explanation:

formula;

density=mass/volume

density*volume=mass

3*12=36g

hope this helps :D

Answer:

3.34g/cm

Explanation: