Electrostatic Potential and Capacitance Quiz-01

1. Three concentric metallic spherical shells of radii R,2R and 3R are given charges Q1, Q2 and Q3, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q1:Q2:Q3 , is

 
 
 
 

2. Two identical metal plates are given positive charges Q1 and Q2 (<Q1) respectively. If they are now brought close together to form a parallel plate capacitor with capacitance C, the potential difference between them is

 
 
 
 

3. A parallel combination of 0.1 MΩ resistor and a 10μF capacitor is connected across a 1.5 V source of negligible resistance. The time required for the capacitor to get charged upto 0.75 V is approximately (in second)

 
 
 
 

4. A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at the centre of the sphere is

 
 
 
 

5. A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a change of -3Q, the new potential difference between the same two surfaces is

 
 
 
 

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