Q 1 :    

Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is              [2024]

• $\frac{b}{a}$

   

• $\sqrt{ab}$

   

• $ab$

   

• $\frac{a}{b}$

   

Q 2 :    

An electric charge ${10}^{-6}\mu C$ is placed at origin (0, 0) m of X-Y co-ordinate system. Two points P and Q are situated at $(\sqrt{3},\sqrt{3})m$ and $(\sqrt{6},0)m$ respectively. The potential difference between the points P and Q will be                                    [2024]

• $\sqrt{3}V$

   

• $\sqrt{6}V$

   

• $0V$

   

• $3V$

   

Q 3 :    

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

 

Assertion (A): Work done by electric field on moving a positive charge on an equipotential surface is always zero.

 

Reason (R): Electric lines of forces are always perpendicular to equipotential surfaces.

 

In the light of the above statements, choose the most appropriate answer from the given below:                                [2024]

• Both (A) and (R) are correct but (R) is not the correct explanation of (A)

   

• (A) is correct but (R) is not correct

   

• (A) is not correct but (R) is correct

   

• Both (A) and (R) are correct and (R) is the correct explanation of (A)

   

Q 4 :    

At the centre of a half ring of radius R = 10 cm and linear charge density 4 n $C{m}^{-1}$, the potential is $x\pi$ $V$. The value of $x$ is _______ .             [2024]

Q 5 :    

The electric potential at the surface of an atomic nucleus $(z=50)$ of radius $9\times {10}^{-13}$ cm is ______ $\times {10}^6$V              [2024]