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Question

Physics Question on electrostatic potential and capacitance

The electric potential at the surface of an atomic nucleus (Z = 50) of radius 9×1015m 9 \times 10^{ - 15} \, m is

A

80 V

B

8×1068 \times 10^6 V

C

9 V

D

9×1059 \times 10^5 V

Answer

8×1068 \times 10^6 V

Explanation

Solution

Electric potential at surface,
V = 14πε0qR(q=Ze) \frac{ 1}{ 4 \pi \varepsilon_0 } \frac{ q}{ R} ( q = Ze)
= 9×109×50×1.6×10199×10159 \times 10^9 \times \frac{ 50 \times 1.6 \times 10^{ - 19}}{ 9 \times 10^{ - 15}}
= 8×1068 \times 10^6 Volt