For a uniform solid spherical charge of radius R and total charge Q. [ 4 π ϵ 0 1 R Q = V 0 and potential is zero at infinity] List-I List-II (P) Potential at r = 3 R from centre (1) 8 7 v 0

Question

For a uniform solid spherical charge of radius R and total charge Q. [ $\frac{1}{4 π ϵ _{0}} \frac{Q}{R} = V_{0}$ and potential is zero at infinity]

List-I	List-II
(P) Potential at $r = \frac{R}{3}$ from centre	(1) $\frac{7 v _{0}}{8}$
(Q) Potential at r = 3R from centre	(2) $\frac{v _{0}}{3}$
(R) Potential difference between points at $r = \frac{R}{2}$ and r = 2R	(3) 0
(S) Potential at centre	(4) $\frac{13 v _{0}}{9}$
	(5) $\frac{3 v _{0}}{2}$

TestHub · Accepted Answer

V in ​ ( r ) = 2 R K Q ​ ( 3 − R 2 r 2 ​ ) = 2 V 0 ​ ​ ( 3 − R 2 r 2 ​ ) ; V o u t ​ ( r ) = r K Q ​ (P) V ( 3 R ​ ) = 2 V 0 ​ ​ ( 3 − 9 1 ​ ) = 9 13 V 0 ​ ​ → ( 4 ) (Q) V ( 3 R ) = 3 R K Q ​ = 3 V 0 ​ ​ → ( 2 ) (R) V ( 2 R ​ ) = 8 11 V 0 ​ ​ , V ( 2 R ) = 2 V 0 ​ ​ ⇒ Δ V = 8 7 V 0 ​ ​ → ( 1 ) (S) V ( 0 ) = 2 3 V 0 ​ ​ → ( 5 ) Hence (D).

Physics - Electrostatics Question with Solution | TestHub

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