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An electron of mass m(e) and a proton of...

An electron of mass `m_(e)` and a proton of mass `m_(p)` are moving with the same speed. The ratio of their de-Broglie wavelength `lamda_(e)//lamda_(p)` is

A

1

B

1836

C

`1/1836`

D

918

Text Solution

Verified by Experts

The correct Answer is:
B

de Broglie wavelength of a ball is `lamda = h/(mv)`
where m is the mass and v is the speed of the particle . As electron and proton both are moving with same . Speed therefore the ratio of their de Broglie wavelengths is
`(lamda_(e))/(lamda_p)=(m_p)/(m_e) =(1.67 xx10^(-27)kg)/(9.1 xx10^(-31)kg)~~1836`
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MTG GUIDE-DUAL NATURE OF MATTER AND RADIATION -NEET Cafe Topicwise Practice Questions (MATTER WAVES AND DE BROGLIE RELATION)
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