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 1.813×10−4. Calculate the particle’s mass. (Given mass of electron is 9.109×10−31kg)
A
1.675×10−27kg
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B
9.109×10−31kg
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C
9.109×10−27kg
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D
1.675×10−31kg
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Solution
The correct option is A1.675×10−27kg Given, vP=3ve
de Broglie wavelength is given by λ=hp=hmv
From the question, λPλe=1.813×10−4 ⇒mevemP(3ve)=1.813×10−4 ⇒mP=me5.439×10−4=9.109×10−315.439×10−4 =1.675×10−27kg