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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Electromagnetic Waves

NTA Abhyas 2020 · Physics · Electromagnetic Waves

An oil drop carrying a charge q has a mass m kg. It is falling...

An oil drop carrying a charge qq has a mass mm kg. It is falling freely in air with terminal speed vv. The electric field required to make the drop move upwards with the same speed is

Options

  1. Amgq\dfrac{mg}{q}
  2. B2mgq\dfrac{2mg}{q}
  3. Cmgvq2\dfrac{mgv}{q^{2}}
  4. D2mgvq\dfrac{2mgv}{q}

Correct answer

B. 2mgq\dfrac{2mg}{q}

Step-by-step solution

\dfrac{\text{QV}}{ℓ} = \dfrac{4}{3} \pi r^{3} ρ \text{g}

When the oil drop is falling freely under the effect of gravity is a viscous medium with terminal speed v,v, then

mg = 6\piηrv ...(i)

To move the oil drop upward with terminal velocity vv if EE is the electric field intensity applied, the

Eq = mg + 6\piηrv = mg + mg = 2mg
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