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JIPMER 2010

Exam: JIPMER
Year: 2010
Subject: Physics
Chapter: Electrostatics

JIPMER 2010 · Physics · Electrostatics

Figure shows three spherical and equipotential surfaces A, B and C...

Figure shows three spherical and equipotential surfaces

A, B

and

C

round a point charge

q

. The potential difference

V_A-V_B=V_B-V_C

. If

t_1

and

t_2

be the distances between them, then Figure shows three spherical and equipotential surfaces A, B and C round a point charge q . The potential difference

Figure shows three spherical and equipotential surfaces A, B and C round a point charge q . The potential difference

Options

A $t_1=t_2$
B $t_1 \gt t_2$
C $t_1 \lt t_2$
D $t_1 \leq t_2$

Correct answer

C. $t_1 \lt t_2$

Step-by-step solution

Potential difference between two equipotential surfaces

A

and

B

,

V_A-V_B=k q\left(\frac{1}{r_A}-\frac{1}{r_B}\right)=k q\left(\frac{r_B-r_A}{r_A r_B}\right)=\frac{k q t_1}{r_A r_B}

or

\quad t_1=\frac{\left(V_A-V_B\right) r_A r_B}{k q}

or

t_1 \propto r_A r_B

Similarly,

t_2 \propto r_B r_C

Since,

r_A \lt r_B \lt r_C

, therefore,

r_A r_B \lt r_B r_C

\therefore \quad t_1 \lt t_2

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