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KVPY2019PhysicsElectrostatics

Two masses M 1 and M 2 carry positive charges Q 1 and Q 2 , respectively. They are dropped to the floor in a laboratory set up from the same height, where there is a constant electric field vertically upwards. M 1 hits the floor before M 2 . Then,

Options

  1. AQ 1 > Q 2
  2. BQ 1 < Q 2
  3. CM 1 Q 1 > M 2 Q 2
  4. DM 1 Q 2 > M 2 Q 1

Correct answer

D. M 1 Q 2 > M 2 Q 1

Step-by-step solution

( Q ₁= M ₁ ~g - Q ₁ E M ₁ , Q ₂= M ₂ ~g - Q ₂ E M ₂ ) as ( S = ut + 1 2 at ² ) So, ( h = a t ₁+ 1 2 ( ~g - Q ₁ E M ₁ ) t ₁² (1) ) ( h = a t ₂+ 1 2 ( ~g - Q ₂ E M ₂ ) t ₂² . .(2) ) given ( t ₁ g - Q ₂ E M ₂ ) ( Q ₁ E M ₁ Q ₁ M ₂ )

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