JEE Main 2022ChemistryStructure of AtomHardNumerical

JEE Main 2022 — Structure of Atom Question with Solution

JEE Main 2022 (26 Jul Shift 1)

Question

The wavelength of an electron and a neutron will become equal when the velocity of the electron is x times the velocity of neutron. The value of x is____(the nearest integer)(Mass of electron is 9.1×10-31 kg and mass of neutron is 1.6×10-27 kg)

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Show full solutionCorrect answer: 1758
Correct answer
1758

Step-by-step explanation

λe=λn

hme.ve=hmn.vn

λe=Wavelength of electron

λn=Wave length of neutron

me and Mn=Mass of electron and neutron respectively

ve and vn=Velocity of electron and neutron respectively

h=6.626×10-34Js=Planck's constant

me.x.vn=mn.vn

x=mnme=1.6×10-279.1×10-31

⇒x=169×103

=1.758×103

=1758

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About this question

This is a previous-year question from JEE Main 2022, covering the Structure of Atom chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.