Dual Nature of Matter

JEE Main level, single correct, medium

64 of 200

Question 64 of 200

A particle is moving 55 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is 1.878×10–41.878\times {10}^{–4}. The mass of the particle is close to :

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Answer: (D) 9.7×10−28kg9.7\times {10}^{-28}kg

λ=hmv\lambda =\dfrac{h}{mv}
⇒m′m=vλv′λ′=15×11.878×10−4×9.1×10−31\Rightarrow \dfrac{{m}^{'}}{m}=\dfrac{v\lambda }{{v}^{'}{\lambda }^{'}}=\dfrac{1}{5}\times \dfrac{1}{1.878}\times {10}^{-4}\times 9.1\times {10}^{-31}
m′=9.7×10−28kg{m}^{'}=9.7\times {10}^{-28}kg

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