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NEET Physics : Electrostatic Potential and Capacitance

Multiple Choice Questions

1.

A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of a dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. which of the following is incorrect?

  • The potential difference between the plates decreases K times

  • The energy stored in the capacitor decreases K times

  • The change in energy stored is 1 half C V squared space open parentheses 1 over K minus 1 close parentheses

  • The change in energy stored is 1 half C V squared space open parentheses 1 over K minus 1 close parentheses



2.

A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d(m) and area of each plate is A(m2) the energy (joule) stored in the condenser is

  • 1 half straight epsilon subscript straight o straight E squared
  • straight epsilon subscript straight o EAd
  • 1 half straight epsilon subscript straight o straight E squared Ad
  • 1 half straight epsilon subscript straight o straight E squared Ad


3.

Across a metallic conductor of non-uniform cross -section, a constant potential difference is applied. The quantity which remains constant along the conductor is

  • Current density

  • Current

  • drift velocity

  • drift velocity



4.

A, B and C are three points in a uniform electric field. The electric potential is 

 E
  • Maximum at A

  • Maximum at B

  • Maximum at C

  • Maximum at C



5.

Two metallic spheres of radii 1 cm and 3 cm are given charges of (-1 x 10-2 C) and 5 x 10-2 C , respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

  • 2 x 10-2 C

  • 3 x 10-2 C

  • 4 x 10-2 C

  • 4 x 10-2 C



6.

A capacitor of 2μF is charged as shown in the figure. When the switch s is turned to position 2, the percentage of its stored energy dissipated is,

  • 20%

  • 75%

  • 80%

  • 80%



7.

A potentiometer wire has length 4 m and resistance 8Ω. The resistance that must be connected in series with the wire and an accumulator of emf 2V, so as to get a potential gradient 1mV per cm on the wire is

  • 32Ω

  • 40Ω

  • 44Ω

  • 44Ω



8.

The potential energy of a particle in a force field is,straight U space equals straight A over straight r squared minus straight B over straight r where A and B are positive constants are r is the distance of a particle from the centre of the field. For stable equilibrium, the distance of a particle is

  • B/2A

  • 2A/B

  • A/B

  • A/B



9.

A parallel plate capacitor has a uniform electrinc field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy storedf in the capacitor is df and area of each plate  is A, the energy stored in the capacitor is 

  • 1 half straight epsilon subscript straight o straight E squared
  • straight E squared Ad divided by straight epsilon subscript straight o
  • 1 divided by 2 space straight epsilon subscript straight o straight E squared Ad
  • 1 divided by 2 space straight epsilon subscript straight o straight E squared Ad


10.

Four point charge -Q,-q,2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is

  • Q= -q

  • Q=-1/q

  • Q=q

  • Q=q



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