MCQ
In a spring-block system, which of the following are periodic?


a) position

b) velocity

c) kinetic energy

c) all of the above

Option A provides the best minimum resolution distance among the given options, with a minimum resolution distance of approximately 233.33 nm.

To determine the best minimum resolution distance among the given options, we need to consider the principles of microscopy and the factors that affect resolution.

Resolution in microscopy is determined by the numerical aperture (NA) and the wavelength of light used. The formula for calculating the minimum resolvable distance (d) is given by:

d = λ / (2 * NA)

Where λ is the wavelength of light and NA is the numerical aperture.

Let's evaluate each option:

A. System using a wavelength of 280 nm with a numerical aperture of 0.6 in air.

d = 280 nm / (2 * 0.6) ≈ 233.33 nm

B. System using a wavelength of 250 nm with a sine of the angle of the light cone equal to 0.33 in immersion oil.

Here, we are not given the numerical aperture directly, but the sine of the angle (which is related to NA) and the immersion oil indicates a higher refractive index compared to air. However, we cannot directly compare this option to the others without more information.

C. System using a wavelength of 400 nm with a numerical aperture of 0.75 in air.

d = 400 nm / (2 * 0.75) ≈ 266.67 nm

D. System using a wavelength of 400 nm with an angle of the light cone being 72° in air.

Similarly to option B, we don't have the numerical aperture, only the angle of the light cone. Therefore, we cannot directly compare this option to the others.

E. Minimum resolution distance of 240 nm (no other information provided).

Comparing the calculated minimum resolution distances:

Option A: 233.33 nm

Option C: 266.67 nm

Option E: 240 nm

Based on these calculations, Option A provides the best minimum resolution distance among the given options, with a minimum resolution distance of approximately 233.33 nm.

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The gravitational force of one star on the other is given by Newton's law of solemnity as F = G × M1 × M2/ R2,

Newton's law of universal gravitation is:

The orbital haste of each star can be calculated using the formula V = sqrt( G × M/ R). where M is the total mass of the two stars and R is the orbital compass. The orbital period is given by the formula T = 2 × pi × sqrt( R3/ G × M). 

The energy needed to pull two stars piecemeal to perpetuity is given by the formula E = G * M1 * M2/R. where G is the gravitational constant, M1 and M2 are the millions of the two stars, and R is the compass of the star. Both stars are routeways

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Answer:

Higher winds mean the possibility of severe weather.

Explanation:

High winds blow low pressure systems into our area, giving us bad weather.

The tension required to pull the cart up the incline at a constant speed is more than that required to pull the cart down the incline at a constant speed.

When a cart moves on an incline at constant speed, it is in a state of dynamic equilibrium, meaning that the net force acting on it is zero. This implies that the force of gravity acting on the cart down the incline is exactly balanced by the force exerted by the tension in the string pulling the cart up the incline.

To pull the cart up the incline at a constant speed, the tension in the string must be greater than the force of gravity acting on the cart, since the force of gravity is acting in the opposite direction of the motion.

Conversely, to pull the cart down the incline at a constant speed, the tension in the string must be less than the force of gravity acting on the cart, as the force of gravity is aiding the motion.

The difference in tension is due to the opposing force of gravity that affects the motion of the cart in different directions.

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Wave summation is a phenomenon where multiple stimuli are applied to a muscle fiber in quick succession, resulting in a stronger contraction.

This occurs because the muscle fiber has not had enough time to completely relax before the next stimulus is applied, leading to the addition of individual twitch contractions.

Several factors can induce wave summation, including increasing the frequency of stimulation, increasing the strength of the stimulus, and decreasing the relaxation time between stimuli.

As the frequency of stimulation increases, there is less time for the muscle to relax, leading to wave summation. Additionally, increasing the strength of the stimulus can cause more muscle fibers to be recruited, leading to a stronger contraction.

Lastly, decreasing the relaxation time between stimuli can prevent the muscle from fully relaxing, leading to wave summation.

It is important to note that wave summation can be beneficial in certain situations, such as in skeletal muscles during exercise.

However, it can also lead to muscle fatigue and injury if the muscle is not given enough time to rest and recover.

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Answer:

1.0 s

Explanation:

How fast the projectile is traveling HORIZONTALLY has no effect on how long it takes to hit the ground......only the initial height (5 m) and gravity (-9.81 m/s^2) will affect how long it takes to do so...

df = final position = 0 when it hits the ground

df = do + vot + 1/2 a t^2

0   = 5 + 0 t   - 1/2 (9.81) t^2

5 = 1/2 (9.81) t^2

t = 1.0 s

Friction is the force that acts on the opposite side of direction of force, thus it manages to decelerate an object, so it acts upward along the plane

Objects moving with high Reynolds number options 2 and 3 are correct.

When a fluid experiences relative internal movement as a result of various fluid velocities, the ratio of inertial forces to viscous forces is known as the Reynolds number. A boundary layer, such as the bounding surface inside a pipe, is an area where these forces affect how they behave.

Objects moving with relatively high velocity have a high value of Reynolds number.Both, a paramecium moving in water and a falling dust particle, the examples are Where objects are moving very slowly.a On the other hand, diving race car, bird and a are the examples where objects are moving very fast.Hence, examples of objects moving with high Reynolds number include i diving bird and a racing car.

so the options 2 and 3 are correct.

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Answer:

A                                    

Explanation:

Answer : a. Extrusion

According to question, If Ann runs 800 metes with sandbags it will take 2 more minutes then Ann's speed for running with sandbags is 160 meters per minute.

A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in the position of an object per unit of time.

Use formula

speed = distance / time

speed without sandbags = 800 meters / 3 min.

speed without sandbags = 266.67 meters per min.

Now, let's find Ann's time to run 800 meters with sandbags:

time with sandbags = 3 minutes + 2 minutes = 5 minutes

speed with sandbags = 800 meters / 5 minutes

speed with sandbags = 160 meters per minute

Therefore, Ann's speed for running with sandbags is 160 meters per minute.

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WACC (Weighted Average Cost of Capital) is a calculation used to assess a company's cost of capital. It is computed by multiplying each source of capital (equity, debt, and preferred stock) by its relevant weight and then summing these up.

In this question, Ace Batteries is utilizing the CAPM (Capital Asset Pricing Model) to determine the cost of equity capital.Ace Batteries' WACC can be reduced if the company's beta decreases. The beta of a company is a measure of its market risk or volatility, and it is a component of the CAPM formula

As a result, a lower beta lowers the cost of equity capital, lowering the company's WACC. Consequently, option c: A decrease in the company's beta, will REDUCE Ace Batteries' WACC (weighted average cost of capital).

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The given statement "In star clusters, the turnoff-point stars are giant stars fusing helium in their cores and then in their shells"is false because state reason here.

In star clusters, the turnoff-point stars are not giant stars fusing helium in their cores and then in their shells. The turnoff point refers to a specific stage in the evolution of stars within a cluster. It is the point at which the most massive and hottest stars on the main sequence start to exhaust their hydrogen fuel and begin to evolve off the main sequence.

These turnoff-point stars are typically more massive and hotter than the average stars in the cluster. They have already fused hydrogen in their cores and are transitioning to the next stage of their evolution. The specific details of this stage depend on the mass of the star. For higher-mass stars, it may involve helium fusion, but it does not necessarily involve fusing helium in their cores and shells simultaneously.

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There are two high and two low tides in one lunar day. This is because the Earth rotates through two tidal bulges every lunar day.

The tidal bulges are caused by the gravitational pull of the moon. The moon's gravitational pull is strongest on the side of the Earth that is closest to the moon, and weakest on the side of the Earth that is farthest from the moon. This causes the oceans to bulge out on both sides of the Earth, creating high tides. The low tides occur in between the high tides.The time between high tides is about 12 hours and 25 minutes. This is because it takes the Earth about 24 hours and 50 minutes to rotate once on its axis. However, the moon also takes about 24 hours and 50 minutes to orbit the Earth. This means that the Earth rotates through two tidal bulges every time the moon completes one orbit.

The number of high and low tides can vary slightly depending on the location of the bay. For example, bays that are located in the open ocean tend to have more frequent tides than bays that are located in the middle of a landmass. This is because the open ocean is more affected by the gravitational pull of the moon.

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Answer:

v = -5 m/s

Explanation:

It is given that,

The initial velocity of the ball, u = 25 m/s

We need to find its velocity after 2 seconds in the air.

Let v is the velocity of the ball after 2 seconds. Using equation of motion to find it.

v = u + at

Here, a = -g

v = u -gt

Putting all the values,

v = 25 - (10)(3)

= 25-30

= -5 m/s

So, the velocity of the ball after 3 seconds is 5 m/s and it is in downward direction.

Answer:

Kinetic energy is the energy that an object has because of its motion. The molecules in a substance have a range of kinetic energies because they don't all move at the same speed. As a subtance absorbs heat the particles move faster so the average kinetic energy and therefore the temperature increases.

Answer:

gravityis an invisible force that pulls objects toward each other. So, the closer objects are to each other, the stronger their gravitational pull is. Earth's gravity comes from all its mass .

Answer:

they have the same slope

Explanation:

The results of young's double-slit experiment were

- Waves produced a diffraction pattern.

- Results supported the wave theory of light.

- Results supported the particle theory of light

Two coherent sources of light are employed in Young's double-slit experiment, which is often conducted at a distance that is only a few times greater than the wavelength of the light used. Young's double-slit experiment contributed to our knowledge of the diagrammed wave theory of light.

The act of bending of the light around edges such that it expands out and illuminates regions, where a shadow is anticipated, is known as the diffraction of light. In general, since both occur simultaneously, it is challenging to distinguish between diffraction and interference.

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Answer: A,B,E.

Explanation: doing the quiz on edge!

Explanation:

distance = speed x time

a- d= 350 m/s x 30s

   d= 10500m

b- 5 mins = 300 sec

    d= 350 m/s x 300s

    d= 105000 m

c-  30 mins = 1800 sec

    d= 350 m/s x 1800 s

   d=  630000 m

Hello, yes it is possible to lift heavier load using small magnitude of force.

How? let's see.

Do you know on which principle does hydraulic machine work? Yes, it's Pascal's Principle. So in order to understand how hydraulic machine will lift heavier weight using small magnitude of force we will have to take a look at Pascal's law.

Pascal's law : It sates that in a closed container filled with fluid when pressure is applied to any point that intensity of pressure transfers in all direction equally.

Now look at diagram,

Consider the left piston as X and Right Piston as Y.

the area of piston X is small (A1) and applied force (F1) is also less and the resultant pressure is P.

\(P = \frac{F_1}{A_1}\)

This same amount of pressure will be exerted at Piston Y having area (A2) and resultant output force (F2)

\(P = \frac{F_2}{A_2}\)

So consider I have 5 N force and I have to lift a heavier rock weighing 50 N. take an example the area of Piston X is 1 m² & area of piston Y is 10 m²

So when I will apply 5 N force on piston X it will exert 50 N force on piston Y.

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The heat lost by water is equal to the heat gained by ice here. The heat lost from water for a temperature change of 25 to 10 degree Celsius is 12300 J.

Calorimetry is an analytical technique used to determine the heat energy absorbed or evolved by a system. The calorimetric equation relating the heat energy q with the mass m, specific heat c and the temperature difference ΔT is :

q = m c ΔT

Here, the heat energy gained by the dry ice is equal to the heat lost from water.

temperature difference for water = 25- 10 °C = 15°C

thus, 15°C is lost from water.

mass of water = 200 g

q =200 g × 4.12 J/°C g × 10°C = 12300 J

Therefore, the heat energy lost from water is 12300 J.

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Answer:

Explanation:

Given

1 ) 140 m west in 45 s .

2 ) 90 m east in 25 s .

a )

distance travelled in first 45 s = 140 m

b ) distance travelled in next 25 s = 90 m

c ) Total distance travelled = 140 m + 90 m

= 230 m

d ) average speed in first 45 s

= distance in 45 s  45

= 140 / 45 = 3.11 m /s

e ) average speed in next 25 s

distance in 25 s / 25

= 90 / 25 = 3.6 m /s

f ) average in entire trip

=  total distance / total time

= (140 + 90) / ( 25 + 45 )

= 3.28 m /s

g )

displacement in first 45 s = 140 m towards west

h )

displacement in next 25 s = 90 m towards east

i )

total displacement = 140 - 90

= 50 m towards west .

Answer:

For number 4: A vector pointing to the right with a magnitude of 2.0

Explanation:

Very simple- just subtract 6-2

I am not sure how to do #2- sorry!

Answer:

Tellurium

Explanation:

Answer:

Tellurium

Explanation:

There  are approximately 2.01 x 10^18 photons of light with a wavelength of 4000 Å in 1 J of energy.

To determine the number of photons of light having a wavelength of 4000 Å, we can use the formula:

E = h * c / λ

where E is the energy of a photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.

First, we need to convert the wavelength from angstroms (Å) to meters (m):

4000 Å = 4000 × 10^-10 m

Plugging in the values for h, c, and λ, we get:

E = (6.626 x 10^-34 J s) * (2.998 x 10^8 m/s) / (4000 x 10^-10 m) = 4.97 x 10^-19 J

The energy of a photon is also related to its frequency (ν) by the equation:

E = h * ν

where ν is the frequency of the light. We can rearrange this equation to solve for the frequency:

ν = E / h

Plugging in the energy value we just calculated, we get:

ν = 4.97 x 10^-19 J / 6.626 x 10^-34 J s = 7.50 x 10^14 Hz

Now, we can use the formula for the energy of a photon to calculate the number of photons in a given amount of energy. If we have a total energy of E_total, the number of photons (N) is given by:

N = E_total / E

Let's assume that we have 1 J of energy. Then, the number of photons with a wavelength of 4000 Å would be:

N = 1 J / 4.97 x 10^-19 J = 2.01 x 10^18 photons

Therefore, there are approximately 2.01 x 10^18 photons of light with a wavelength of 4000 Å in 1 J of energy.

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Answer:

Density Definition: Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume. Density Symbol: D or ρ Density Formula: ρ = m/V, where ρ is the density, m is the mass of the object and V is the volume of the object.

Answer:

After the dielectric is inserted the capacitance is increased hence the stored energy is also increased . It may be noted here that since voltage between the capacitor V0 is constant the electric field between the plates also remains constant .

The expansion of a 13L steel scuba tank can be ignored when evaluating the mass of air inside because the volume increase due to expansion is very small compared to the tank's original volume. It is a good approximation.

The expansion of a 13L steel scuba tank occurs due to changes in temperature and pressure. When the tank is filled with air, the air inside the tank is also affected by these changes. However, the volume increase due to expansion is typically very small compared to the original volume of the tank. As a result, the mass of air inside the tank can be evaluated without taking into account the expansion of the tank. This is a good approximation because the expansion is negligible in comparison to the total volume of the tank. However, it's worth noting that if a more precise calculation is required, the expansion of the tank should be taken into account.

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Answer:

A longitudinal study is a research design that involves repeated observations of the same variables over short or long periods of time. It is often a type of observational study, although they can also be structured as longitudinal randomized experiments.

Explanation: