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Q.

A proton, a deutron and an α-particle having the same momentum, enters a region of uniform electric field between the parallel plates of a capacitor. The electric field is perpendicular to the initial path of the particles. Then the ratio of deflections suffered by them is

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a

1 : 2 : 8

b

1 : 2 : 4

c

1 : 1 : 2

d

None of these

answer is A.

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Detailed Solution

The deflection suffered by charged particle in an electric field is Since pα = pd = pp (given)mp : md : mα = 1 : 2 : 4 and qp : qd : qα = 1 : 1 : 2⇒ yp : yd : yα = 1 x1 : 1 x 2 : 2 x 4 = 1 : 2 : 8

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