Skip to content
dronacharya.ai
← JEE Main 2022 · 26 Jul · Shift 1
ChemistryInteger+4 / -1Question 83 of 90

JEE Main 2022 · 26 Jul · Shift 1, Chemistry question 83

The wavelength of an electron and a neutron will become equal when the velocity of the electron is xx times the velocity of neutron. The value of xx is ______. (Nearest Integer)

(Mass of electron is 9.1×10−319.1\times10^{-31} kg and mass of neutron is 1.6×10−271.6\times10^{-27} kg)

Answer and worked solution

Official answer: 1758

Equal wavelengths need equal momenta: x=mnme=1.6×10−279.1×10−31≈1758x=\frac{m_n}{m_e}=\frac{1.6\times10^{-27}}{9.1\times10^{-31}}\approx1758.

Answer: 1758