A solid conducting sphere of radius a having a charge q is surrounded by a concentric conducting spherical shell of inner radius 2a and outer radius 3a as shown in figure.

                      

Find the amount of heat produced when switch is closed.

1. Kq2/2a                         

2. Kq2/3a

3. Kq2/4a                         

4. Kq2/6a

Concept Questions :-

Combination of capactiors
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Three uncharged capacitors of capacities C1, C2 and C3 are connected to one another as shown in the figure.

 

Points A, B, and D are at potential V1, V2 and V3 ,then the potential at O will be 

1. V1C1+V2C2+V3C3C1+C2+C3                   

2. V1+V2+V3C1+C2+C3

3. V1V2+V3C1C2+C3                               

4. V1V2V3C1C2C3

Concept Questions :-

Combination of capactiors
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A parallel plate capacitor of area ‘A’ , plate separation ‘d’ is filled with two dielectrics as shown. What is the capacitance of the arrangement ?

1.  30A4d                             

2. 40A3d

3. K+1ε0A2d                       

4.KK+3ε0A2K+1d

Concept Questions :-

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Assertion : A particle A of mass m and charge Q moves directly towards a fixed particle B, which

                  has charge Q. The speed of A is v when it is far away from B. The minimum separation

                  between the particles is proportional to Q2.

Reason : Total energy remains conserved.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

Electric potential energy
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Assertion : Potential difference between two points lying in a uniform electric field may be equal

                  to zero.

Reason : Points of line normal to electric field is equipotential line. 

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

Equipotential surfaces
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Assertion :  At a distance r from a +ve charged particle potential is V and electric field strength is E.

                   Then graph between V2E is straight line.

Reason : For a point charge V2E=q4π0

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

Relation between field and potential
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Assertion : Electrons move away from a region of lower potential to a region of higher potential.

Reason : Since an electron has a negative charge. 

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

Electric potential
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Assertion : An isolated system consists of two particles of equal masses m=10 gm and charges

                  q1=+1µC and q2= 1µC as shown in figure. The initial separation of both charges

                   is l= 1m. Both the charges are given initial velocities v1=1 m/s and v2=2 m/s towards

                   right. Then the maximum separation between the charges is infinite.

                   

Reason : The total energy (Kinetic energy + electrostatic potential energy) of given two particle

               system is positive and initial velocity of separation is positive. 

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

Electric potential energy
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Assertion : Charges are given to plates of two plane parallel plate capacitors C1 and C2 (such

                  that C2=2C1) as shown in figure. Then the key K is pressed to complete the circuit.

                 Finally the net charge on upper plate and net charge on lower plate of capacitor C1 is positive.

                    

Reason : In a parallel plate capacitor both plates always carry equal and opposite charge. 

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

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Assertion :  Each of the plates of a parallel-plate capacitor is given equal positive charge Q. The

                   charges on the facing surfaces will be same. 

Reason : A negative charge (–Q) will be induced on each of the facing surfaces.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false

Concept Questions :-

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Difficulty Level: