64 identical drops each charged upto potential of 10 mV are combined to form a bigger drop. The potential of the bigger drop will be _____ mV .

Step-by-step solution

The formula to calculate the potential V of each tiny drop is given by V = k q r       . . . 1 When all the drops forms the bigger drop the radius of the new drop r ' can be calculated as follows: Volume   of   big   drop = 64 × volume   of   each   tiny   drop ⇒ 4 3 π r ' 3 = 64 × 4 3 π r 3 ⇒ r ' = 4 r So, the potential of the new big drop V ' can be written as V ' = k 64 q r ' = k 64 q 4 r = 16 k q r       . . . 2 Div