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BITSAT 2017
Exam
BITSAT
Year
2017
Subject
Physics
Chapter
Electrostatics

BITSAT 2017 · Physics · Electrostatics

Two metal plates having a potential difference of 800V are 2 cm...

Two metal plates having a potential difference of 800V800V are 22 cm apart. It is found that a particle of mass 1.96×10−15kg1. 96 \times {10}^{- 15}kg remains suspended in the region between the plates. The charge on the particle must be (e =elementarycharge)elementary charge)

Options

  1. A2e2e
  2. B3e3e
  3. C6e6e
  4. D8e8e

Correct answer

B. 3e3e

Step-by-step solution

V=800VV = 800V

E=Vd=8002×10−2Vm−1E = \dfrac{V}{d} = \dfrac{800}{2 \times {10}^{- 2}}Vm^{- 1}

=4×104Vm−1= 4 \times {10}^{4}Vm^{- 1}

At equilibrium electrostatic force must be equal to force due to weight.

qE=mgqE = mg

⇒q=mgE⇒ q = \dfrac{mg}{E}

=1.96×10−15×9.84×104= \dfrac{1. 96 \times {10}^{- 15} \times 9. 8}{4 \times {10}^{4}} coulomb

=1.96×10−15×9.84×104×1.6×10−19= \dfrac{1. 96 \times {10}^{- 15} \times 9. 8}{4 \times {10}^{4} \times 1. 6 \times {10}^{- 19}} elementary charges

=3e= 3e

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