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Q.

An α particle and proton are accelerated from rest by a potential difference of 200 V. After this, their  de Broglie wavelengths are  λα and  λp respectively. The ratio  λpλα is:

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a

2.8

b

7.8

c

8

d

3.8

answer is A.

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Detailed Solution

Kinetic energy K=P22m=qV⇒P=2mqV⇒P ∝ mqNow, λ=hP⇒λ∝1P⇒λpλα=PαPp=mαqαmpqp=4×21×1 ⇒λpλα=22=2.8
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