A charge Q is uniformly distributed over a long rod AB of length

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

1.

The region between two concentric spheres of radii ‘a’ and ‘b’, respectively (see figure), has volume charge density ρ = A/r , where A is a constant and r is the distance from the centre. At the centre of the spheres is a point charge Q. The value of A such that the electric field in the region between the spheres will be constant is:

  • fraction numerator straight Q over denominator 2 πa squared end fraction
  • fraction numerator straight Q over denominator 2 straight pi left parenthesis straight b to the power of 2 minus end exponent straight a squared right parenthesis end fraction
  • fraction numerator 2 straight Q over denominator straight pi left parenthesis straight a squared minus straight b squared right parenthesis end fraction
  • fraction numerator 2 straight Q over denominator straight pi left parenthesis straight a squared minus straight b squared right parenthesis end fraction
1179 Views

2.

A long cylindrical shell carries positive surface charge  in the upper half and negative surface charge  in the lower half. The electric field lines around the cylinder will look like figure given in: (figures are schematic and not drawn to scale)

278 Views

3.

Two charges, each equal to q, are kept at x = −a and x = a on the x-axis. A particle of mass m and charge qo =-q/2 is placed at the origin. If charge qo is given a small displacement (y<< a) along the y-axis, the net force acting on the particle is proportional to

  • y

  • -y

  • 1/y

  • 1/y

635 Views

Advertisement

4.

A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is

  • fraction numerator straight Q over denominator 8 πε subscript straight o straight L end fraction
  • fraction numerator 3 space straight Q over denominator 4 space πε subscript straight o straight L end fraction
  • fraction numerator straight Q over denominator 4 πε subscript straight o straight L space In space 2 end fraction
  • fraction numerator straight Q over denominator 4 πε subscript straight o straight L space In space 2 end fraction


D.

fraction numerator straight Q over denominator 4 πε subscript straight o straight L space In space 2 end fraction


352 Views

Advertisement
Advertisement
5.

This question has statement 1 and statement 2. Of the four choices given after the statements, choose the one that best describes the two statements.
An insulating solid sphere of radius R has a uniformly positive charge density ρ. As a result of this uniform charge distribution, there is a finite value of the electric potential at the centre of the sphere, at the
surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero.

Statement 1: When a charge q is taken from the centre to the surface of the sphere, its potential energy changes by qρ/3εo
Statement 2: The electric field at a distance r(r < R) from the centre of the sphere is  ρr/3εo

  • Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.

  • Statement 1 is true, Statement 2 is false

  • Statement 1 is false, Statement 2 is true

  • Statement 1 is false, Statement 2 is true

202 Views

6.

In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as a function of distance from the centre. The graph which would correspond to the above will be

499 Views

7.

Let there be a spherically symmetric charge distribution with charge density varying as  space straight rho left parenthesis straight r right parenthesis space equals space space straight rho subscript 0 space open parentheses 5 over 4 minus straight r over straight R close parentheses upto r = R, and ρ(r) = 0 for r > R, where r is the distance from the origin. The electric field at a distance r ( r < R) from the origin is given by

  • fraction numerator 4 space straight pi space straight rho subscript 0 straight r over denominator 3 straight epsilon subscript 0 end fraction space open parentheses 5 over 3 minus straight r over straight R close parentheses
  • fraction numerator begin display style space straight rho subscript 0 straight r end style over denominator begin display style 4 straight epsilon subscript 0 end style end fraction space open parentheses fraction numerator begin display style 5 end style over denominator begin display style 3 end style end fraction minus fraction numerator begin display style straight r end style over denominator begin display style straight R end style end fraction close parentheses
  • fraction numerator 4 space straight rho subscript 0 straight r over denominator 3 straight epsilon subscript 0 end fraction space open parentheses 5 over 3 minus straight r over straight R close parentheses
  • fraction numerator 4 space straight rho subscript 0 straight r over denominator 3 straight epsilon subscript 0 end fraction space open parentheses 5 over 3 minus straight r over straight R close parentheses
568 Views

8.

A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range 0 ≤ r< ∞ , where r is the distance from the centre of the shell? 

167 Views

Advertisement
9.

Charges are placed on the vertices of a square as shown. Let E be the electric field and V the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then

  • straight E with rightwards arrow on top remains unchanged, V changes 
  • Both straight E with rightwards arrow on top and V change

  • straight E with rightwards arrow on top and V remain unchanged
  • straight E with rightwards arrow on top and V remain unchanged
169 Views

10.

A charged particle with charge q enters a region of constant, uniform and mutually orthogonal fields straight E with rightwards arrow on top space and space straight B with rightwards arrow on top, with a velocity straight v with rightwards arrow on top perpendicular to both straight E with rightwards arrow on top space and space straight B with rightwards arrow on top , and comes out without any change in magnitude or direction of straight v with rightwards arrow on top .Then

  • straight v with rightwards arrow on top space equals space straight E with rightwards arrow on top space straight x space straight B with rightwards arrow on top space divided by straight B squared
  • straight v with rightwards arrow on top space equals space straight B with rightwards arrow on top space straight x space straight E with rightwards arrow on top divided by straight B squared
  • straight v with rightwards arrow on top space equals space straight E with rightwards arrow on top space straight x space straight B with rightwards arrow on top divided by straight E squared
  • straight v with rightwards arrow on top space equals space straight E with rightwards arrow on top space straight x space straight B with rightwards arrow on top divided by straight E squared
319 Views

Advertisement