Physics Electrostatics Potential & Capacitance JEE (Main) / AIEEE Problems Previous Years - ( Capacitance ) MCQ (Single Correct)

A tiny spherical oil drop carrying a net charge q is balanced in still air with a vertical uniform electric field of strength Vm –1 . When the field is switched off, the drop is observed to fall with terminal velocity 2 × 10 –3 m s –1 . Given g = 9.8 m s –2 , viscosity of the air = 1.8 × 10 –5 Ns m –2 and the density of oil = 900 kg m –3 , the magnitude of q is:

A
1.6 × 10 –19 C
B
3.2 × 10 –19 C
C
4.8 × 10 –19 C
D
8.0 × 10 –1 9 C

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Text Solution

Verified by Experts
The correct answer is:
D

In equilibrium,

mg = qE

In absence of electric field,

mg = 6π η rv

qE = 6πqrv

m = πr 3 d. =

=

After substituting value we get,

q = 8 × 10 –19

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