A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of λ. An alpha particle having certain kinetic energy has the…

Question

A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of λ. An alpha particle having certain kinetic energy has the same de-Brogle wavelength λ. The ratio of kinetic energy of proton and that of alpha particle is :

MARKS Content Team · Accepted Answer

Correct answer: (B) 4 : 1. As we know, de Broglie wavelength is given by, λ=h/p Now kinetic energy can be written as, K=1/2mv^2=p^22m=h^22mλ^2 Therefore, K∝1/m Hence, required ratio K_pK_(α)=m_(α)m_p=4⇒m_(α):m_p=4:1

A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of $λ$ . An alpha particle having certain kinetic energy has the same de-Brogle wavelength $λ$ . The ratio of kinetic energy of proton and that of alpha particle is :

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