Two metal pieces having a potential difference of $800 \mathrm{~V}$ are $0.02 \mathrm{~m}$ apart…

Two metal pieces having a potential difference of $800 \mathrm{~V}$ are $0.02 \mathrm{~m}$ apart horizontally. A particle of mass $1.96 \times 10^{-15} \mathrm{~kg}$ is suspended in equilibrium between the plates. If e is the elementary charge, then charge on the particle is
  1. \(e\)
  2. \(3 e\)
  3. \(6 e\)
  4. \(8 e\)

Solution

For equilibrium \(m g=q E\) \(\begin{aligned} & \therefore 1.96 \times 10^{-15} \times 9.8=q \times\left(\frac{800}{0.02}\right) \\ & \Rightarrow q=\frac{1.96 \times 10^{-15} \times 9.8 \times 0.02}{800} \\ & \Rightarrow n \times 1.6 \times 10^{-19}=\frac{1.96 \times 10^{-15} \times 9.8 \times 0.02}{800} \Rightarrow n=3 . \end{aligned}\) ^

Asked in: JEE Mains - Electrostatics - Test 3

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