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Q.

A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is 1.878 × 10-4. The mass of the particle is close to:

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a

4.8×10−27kg

b

1.2×10−28kg

c

9.1×10−31kg

d

9.7×10−28kg

answer is D.

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Detailed Solution

λP=hMPVP  ;  λe=hMeVe​⇒λPλe=MeVeMPVP ​Given VP=5Ve⇒1.878×10−4=MeMP15​⇒MP=9.1×10−315×1.878×10−4=9.69×10−28kg≅9.7×10−28kg
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