Questions

Statement-1: The kinetic energy of an electron is greater than $α$ -particle having same momentum.
Statement-2: Mass of $α$ -particle is greater than the mass of electron.

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Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.

Statement-1 is true, statement-2 is false.

Statement-1 is false, statement-2 is true.

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detailed solution

Correct option is A

Momentum $= \sqrt{2 mKE}$

$P_{e} = P_{α} \sqrt{2 m_{e} . {KE}_{e}} = \sqrt{2 m_{α} . {KE}_{α}} m_{e} KE = m_{α} {KE}_{α} \frac{{KE}_{e}}{{KE}_{α}} = \frac{m_{α}}{m_{e}}$

Mass of a particle is more than mass of electron

thus $\frac{m_{α}}{m_{e}} > 1$ ; this $\frac{{KE}_{e}}{{KE}_{α}} > 1$

Thus statement-1 is true.
Statement-2 is also true.

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Statement-1: The kinetic energy of an electron is greater than α-particle having same momentum.Statement-2: Mass of α-particle is greater than the mass of electron.