First slide

Matter waves (DC Broglie waves)

Question

A particle is moving three times as fast that of an electron. The ratio of de - Broglie wavelength of particle to that of the electron is 1.83×10^–4. Then the particle is

Moderate

A

a muon
B

a proton
C

a neutron
D

can be neutron or proton

Solution

The mass of neutron and proton is the same and equal to 1.6 x $10^{- 27}$ kg. While mass of electron is 9 x $10^{- 31}$ kg. It is moving three times faster than electron. The degroglie wavelength is given by $λ$ = h/p. hence $\frac{λ_{1}}{λ_{2}} = \frac{p_{2}}{p_{1}}$ . which is satisfied by both neutron and proton

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