MCQ
The electrostatic force between the metal plates of an isolated parallel capacitor C having a charge Q and area A is:
  • A
    independent of the distance between the plates
  • B
    inversely proportional to the distance between the plates
  • C
    proportional to the square root of the distance between the plates
  • D
    linearly proportional to the distance between the plates

Answer

(a) independent of the distance between the plates
Explanation: $F=Q E=Q \frac{\sigma}{2 \varepsilon_0}=Q \frac{Q}{2 A \varepsilon_0}=\frac{Q^2}{2 A \varepsilon_0}$
F is independent of the distance between the plates.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

When a certain circuit consisting of a constant e.m.f. E an inductance L and a resistance R is closed, the current in, it increases with time according to curve 1. After one parameter (E, L or R) is changed, the increase in current follows curve 2 when the circuit is closed second time. Which parameter was changed and in what direction

(a) L is increased

(b) L is decreased

(c) R is increased

(d) R is decreased

A cylindrical conductor has uniform cross-section. Resistivity of its material increase linearly from left end to right end. If a constant current is flowing through it and at a section distance x from left end, magnitude of electric field intensity is E, which of the following graphs is correct

(a)

(b)

(c)

(d)

A capacitor having capacitance  C is charged to a voltage V. It is then removed and connected in parallel with another identical capacitor which is uncharged. The new charge on each capacitor is now

(a) CV

(b) CV / 2

(c) 2 CV   

(d) CV / 4

An electron (charge = 1.6 ) is accelerated through a potential of 100,000 V. The energy acquired by the electron is

(a) 1.6  

(b) 1.6 

(c) 0.53  

(d) 1.6  

What is the SI unit of self-inductance?

If  are the lengths of the emitter, base and collector of a transistor then

(a)  

(b)  

(c)  

(d)  

The colour of bright fringes nearest to the central achromatic fringe in the interference pattern with white light will be:
Four modifications are suggested in the lens formula to include the effect of the thickness t of the lens. Which one is likely to be correct?

  1. $\frac{1}{\text{v}}-\frac{1}{\text{u}}=\frac{1}{\text{uf}}$

  2. $\frac{1}{\text{v}^2}-\frac{1}{\text{u}}=\frac{1}{\text{f}}$

  3. $\frac{1}{\text{v}-\text{t}}-\frac{1}{\text{u}+\text{t}}=\frac{1}{\text{f}}$

  4. $\frac{1}{\text{v}}-\frac{1}{\text{u}}+\frac{\text{t}}{\text{uv}}=\frac{\text{t}}{\text{f}}$

Pick out correct statement from the following regarding photons: 
The time taken by a photo-electron to come out after the photon strikes is approximately: