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Question

A body of mass x kg is moving with a velocity of 100ms1, if de Broglie wavelength is 6.62×1035 m. Hence, x is:

(h=6.62×1035Js)

A
0.25kg
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B
0.10kg
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C
0.2kg
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D
0.5kg
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Solution

The correct option is B 0.10kg
Given that:
Planck's constant (h)=6.62×1034Js
Mass of body (m)=xkg
velocity of body (v)=100m/s
de Broglie wavelength (λ)=6.62×1035m
As we know that, de Broglie wavelength (λ) is given by-
λ=hmv
6.62×1035=6.62×1034x×100
x=6.62×10346.62×1035×100=0.1kg
Hence x is 0.1kg.
Hence the required answer is 0.1Kg

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