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Question: A proton, a deutron and an alpha particle are accelerated thorough potentials of V, 2V and 4V respec...

A proton, a deutron and an alpha particle are accelerated thorough potentials of V, 2V and 4V respectively. Their velocities will bear a ratio –

A

1 : 1 : 1

B

1 : 2\sqrt{2} : 1

C

2\sqrt{2} : 1 : 1

D

1 : 1 : 2\sqrt{2}

Answer

1 : 1 : 2\sqrt{2}

Explanation

Solution

E = qV = 12mv2\frac{1}{2}mv^{2}