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A stream of a positively charged particles having q m = 2 × 10 11 C kg - 1 and velocity v → 0 = 3 × 10 7 i ^ m s - 1 is deflected by an electric field 1 . 8 j ^ kV m - 1 . The electric field exists in a region of 10 cm along x direction. Due to the electric field, the deflection of the charge particles in the y direction is _____ mm .

Correct answer

0

Step-by-step solution

Acceleration of the particles due to electric field, a = F m = q E m = 2 × 10 11 1 . 8 × 10 3 = 3 . 6 × 10 14   m   s - 2 Time to cross plates = d v ⇒ t = 0 . 10 3 × 10 7 Now deflection, y = 1 2 at 2 = 1 2 3 . 6 × 10 14 0 . 10 3 × 10 7 2 = 0 . 002   m = 2   mm

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