<span><u>Answer</u>
c). random internal motion of atoms and molecules.
<u>Explanation </u>
Diffusion is the movement of particles from a region of high concentration to region of low concentration. The rate of diffusion can be increased by increasing amount of temperature but this is not its primary cause. Diffusion is primarily caused by movement of molecules or atoms in a substances. Form the choices given, the correct answer is c. random internal motion of atoms and molecules.
</span>
Explanation:
Given,
- m = 100 kg
- g = 10 N/kg¹
- h = 60 m
- t = 20 s
To Find:
a) Work done by the pump
b) Potential energy stored in the water
c)Power spent by the pump
d)Power rating of the pump.
Solution:
We know that,

- f = 100 kg * 10N/kg
- d = 60 m



[The unit'll be joule since N×M = J]
- b) Potential energy stored in the water

- m = 100 kg
- g = 10N/kg
- h = 60


- same condition here as well, N×M = J
- c) Power of the Pump

- where P = Power; W = Work done & T = Time taken
- As we got the value of work done on question (a),& ATQ time taken is 20 S.

- d) Power rating of the pump = 3 kW
Assumption: The pump is 100% efficient & works well.
Answer:
<h3>4.13m</h3>
Explanation:
Given
Horizontal velocity = 9.00m/s
time taken = 0.550 s
Required
How far does the projectile fall in the vertical direction
Using the formula for finding the maximum height of the projectile
H = U²sin²θ/2g where;
U = 9.00m/s
θ = 90° (object launched in the vertical direction)
g = 9.81m/s²
Substituting the given parameters into the formula;
H = 9²sin²90/2(9.81)
H = 81(1)/19.62
H = 81/19.62
H = 4.128 m
H ≈ 4.13m
Hence the distance that the projectile fall in the vertical direction is 4.13m
Electric field strength near the surface of sphere is given by

Now we have
Q = 1 C
R = 5 cm
now electric field is given by


Part B)
Since charge on the sphere is very large to electric field near its surface is too high. So this is reasonable result near it.
Part c)
As per our assumption the charge is uniformly distributed on the surface and there is no effect of surrounding charge or surrounding electric field.