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JEE Main 202224 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Morning Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2022 · 24 June · Morning Shift · Physics · Electrostatics

A vertical electric field of magnitude 4 . 9 × 10 ^ 5 N C ^ - 1...

A vertical electric field of magnitude 4.9×105NC−14 . 9 \times {10}^{5}N{C}^{- 1} just prevents a water droplet of a mass 0.1g0 . 1g from falling. The value of charge on the droplet will be : (Given g=9.8ms−2g = 9 . 8m{s}^{- 2})A vertical electric field of magnitude 4 . 9 × 10 ^ 5 N C ^ - 1 just prevents a water droplet of a mass 0 . 1g from

Options

  1. A1.6×10−9C1 . 6 \times {10}^{- 9}C
  2. B2.0×10−9C2 . 0 \times {10}^{- 9}C
  3. C3.2×10−9C3 . 2 \times {10}^{- 9}C
  4. D0.5×10−9C0 . 5 \times {10}^{- 9}C

Correct answer

B. 2.0×10−9C2 . 0 \times {10}^{- 9}C

Step-by-step solution

A vertical electric field of magnitude 4 . 9 × 10 ^ 5 N C ^ - 1 just prevents a water droplet of a mass 0 . 1g from

To balance gravitational force, electric force on the liquid drop should act in upward direction.

For translational equilibrium along vertical direction,

qE=mgqE = mg

⇒q=mgE=0.1×10−3×9.84.9×105=2.0×10−9C⇒ q = \dfrac{mg}{E} = \dfrac{0 . 1 \times {10}^{- 3} \times 9 . 8}{4 . 9 \times {10}^{5}} = 2 . 0 \times {10}^{- 9}C

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