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A proton, a deutron and an alpha-particl...

A proton, a deutron and an `alpha`-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

A

`1: 2 : 8`

B

`1 : 2 : 4`

C

`1 : 1 : 2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Deflection suffered by charged particle in an electric field
`y prop (qm)/p^2`
As `m_p : m_d : m_(alpha) = 1:2:4`
And `q_p : q_d : q_(alpha) = 1:1:2`
`:. y_p : y_d : y_(alpha) = 1:2:8` (here `p_(alpha) = p_d = p_p` )
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