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Question

A particle is moving three times as fast as an electron. The ratio of the de Broglie wavelength of the particle to that of the electron is 1.813×104. Calculate the particle’s mass. (Given mass of electron is 9.109×1031 kg)

A
1.675×1027 kg
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B
9.109×1031 kg
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C
9.109×1027 kg
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D
1.675×1031 kg
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Solution

The correct option is A 1.675×1027 kg
Given, vP=3ve
de Broglie wavelength is given by
λ=hp=hmv
From the question, λPλe=1.813×104
mevemP(3ve)=1.813×104
mP=me5.439×104=9.109×10315.439×104
=1.675×1027 kg

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