Capacitance Question 7
Question 7 - 01 February - Shift 2
Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R : Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.
(1) $\mathbf{A}$ is false but $\mathbf{R}$ is true
(2) Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
(3) $\mathbf{A}$ is true but $\mathbf{R}$ is false
(4) Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is not the correct explanation of $\mathbf{A}$
Show Answer
Answer: (1)
Solution:
Formula: Conducting sphere
Potential of a conducting sphere is
$ V=\frac{K Q}{R} \text{ (Solid as well as hollow) } $
$V_1=V_2$ and $R_1=R_2$
$\therefore Q_1=Q_2$
