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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3as152

Two particles A and B have masses $m_{A} = 4 m_{B}$ . Select the correct statements about their de Broglie wavelengths.

AWith equal kinetic energies, $λ_{A} / λ_{B} = 1/2$ .
BWith equal speeds, $λ_{A} / λ_{B} = 1/4$ .
CWith equal momenta, $λ_{A} / λ_{B} = 4$ .
DWith equal kinetic energies, $λ_{A} / λ_{B} = 1/4$ .

Answer: A, B

At equal

K

,

λ \propto 1/ m

, so the ratio is

1/2

(A true, D false). At equal

v

,

λ \propto 1/ m

, ratio

1/4

(B true). At equal

p

the wavelengths are equal (C false).

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