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Question: An oil drop carrying a charge of 2 electrons has a mass of 3.2 × 10<sup>–17</sup> kg. It is falling ...

An oil drop carrying a charge of 2 electrons has a mass of 3.2 × 10–17 kg. It is falling freely in air with terminal speed. The electric field required to make the drop move upwards with the same speed is-

A

2 × 103 V/m

B

4 × 103 V/m

C

3 × 103 V/m

D

8 × 103 V/m

Answer

2 × 103 V/m

Explanation

Solution

q = 2e; m = 3.2 × 10–17kg

viscous force 6phrv = mg (initially)……(i)

Put value from (i) in (ii)

qE = 2mg

E=

2×3.2×1017×102×1.6×1019\frac { 2 \times 3.2 \times 10 ^ { - 17 } \times 10 } { 2 \times 1.6 \times 10 ^ { - 19 } }= 2 × 103 V/ m