64 identical drops, each charged up to a potential of 10 mV are combined to form a bigger drop. The potential of the bigger drop will be ______ mV. [2023]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
64 identical drops, each charged up to a potential of 10 mV are combined to form a bigger drop. The potential of the bigger drop will be ______ mV. [2023]

Ans.
(160)

$Let q = charge on each drop$

   $V = \frac{K q}{r}$ ...(i)

$Now for combination of 64 drops$

   $64 \times \frac{4}{3} π r^{3} = \frac{4}{3} π R^{3}$

   $R = 4 r and Q = 64 q$

$Potential of bigger drop$ $= \frac{K Q}{R} = \frac{K (64 q)}{4 r} = 16 \frac{K q}{r}$

$= 16 \times 10 mV = 160 mV$

$Correct answer is 160$

Want Us to Email you About Special Offers & Updates?