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The block shown in the diagram has a mass of 2 μg and a charge of 2 × 10 – 9 C . If the block is given an initial velocity of 2 m s - 1 in the x-direction at t = 0 and an electric field of 2 N C - 1 is switched on in the x-direction, then the range ( R ) of the block on the ground will be

Options

  1. A4 m
  2. B1 m
  3. C2 m
  4. D3 m

Correct answer

D. 3 m

Step-by-step solution

At first, we will find time taken by block to hit ground using, S y = u y t + 1 2 a y t 2 − 5 = 0 + 1 2 ( − g ) × t 2 ⇒ t = 10 g = 1 s Now, in this time, block will move in x-direction. S x = u x . t + 1 2 a x . t 2 Here, S x = R , u x = 2 , a x = 2 E m = 2 × 10 − 9 × 2 2 × 10 − 9 = 2 ⇒ R = 2 × 1 + 1 2 × 2 × 1 2 = 2 + 1 = 3 m

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