Question

Twenty-seven identical liquid drops, each charge to a potential of 4 V combine to form a big drop. The potential of the big drop is

• A. 4 V
• B. 16 V
• C. 24 V
• D. 36 V

Hint:

When multiple drops combine, their total charge increases, but the volume (and thus the potential) increases as the cube root of the number of drops.

Answer 1

The Correct Option is D

When identical liquid drops combine, the potential of the resulting big drop is given by: \[ V_{\text{big}} = V_{\text{small}} \times n \] where \( n \) is the number of smaller drops. The potential of the big drop is: \[ V_{\text{big}} = 4 \times 9 = 36 \, \text{V} \] since 27 drops combine to form 9 larger drops.