A particle is moving 3 times faster than the speed of electron. If the ratio of wavelength of a particle and electron is `1.8xx10^(-4)`, then particle is

Options

A. neutron
B. `alpha`-particle
C. deuteron
D. tritium

Answer

A

Explanation

Given: `(lamda_("particle"))/(lamda_("electron"))=1.8xx10^(-4) and (v_("particle"))/(v_("electron"))=3`
According to de Broglie equation, `lamda=(h)/(mv) `
`(lamda_("particle"))/(lamda_("electron"))=(h)/(m_("particle")xxv_("particle"))xx(m_("electron")xxv_("electron"))/(h)`
`=(m_("electron"))/(m_("particle"))xx(v_("electron"))/(v_("particle"))`
or. `1.8xx10^(-4)=(9.1xx10^(-31)kg)/(m_("particle")`
or `m_("particle")=(9.1xx10^(-31))/(1.8xx10^(-4)xx3)=1.6852xx10^(-27)kg`
Actual mass of neutron is `1.67493xx10^(-27)kg`.
Hence, the particle is neutron.