Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2017
Exam
NEET
Year
2017
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2017 · Physics · Dual Nature of Matter

The de-Broglie wavelength of a neutron in thermal equilibrium with...

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature TT (Kelvin) and mass mm is:

Options

  1. AhmkT\dfrac{h}{\sqrt{mkT}}
  2. Bh3mkT\dfrac{h}{\sqrt{3mkT}}
  3. C2h3mkT\dfrac{2h}{\sqrt{3mkT}}
  4. D2hmkT\dfrac{2h}{\sqrt{mkT}}

Correct answer

B. h3mkT\dfrac{h}{\sqrt{3mkT}}

Step-by-step solution

De-Broglie wavelength,
λ=hmv\lambda = \dfrac{h}{mv} =h2m( KE )= \dfrac{h}{\sqrt{2m\left(\text{ KE }\right)}}= \dfrac{h}{\sqrt{2m\left(\dfrac{3}{2}kT\right)}}
(Since K.E. of a thermal neutron=32kT= \dfrac{3}{2}kT)
⇒⇒λ=h3mkT\lambda = \dfrac{h}{\sqrt{3mkT}}
Practice Dual Nature of Matter on Quantrex Academy →

More from Dual Nature of Matter

An electron and positron are accelerated from rest to the same kinetic energy. The ratio… MHT CET Medical 2026An electron of mass m and charge e initially at rest gets accelerated by a constant… MHT CET Medical 2026The wavelength λ_e of an electron and λ_P of a photon of same energy E are related as MHT CET Medical 2026A light of wavelength λ(λ < λ_0) falls on a metal surface. The momentum of the fastest… MHT CET Medical 2026The de Broglie wavelength of an electron with kinetic energy K_1 is λ_1 . If the kinetic… MHT CET Medical 2026A student plots two different graphs using the same photoelectric experiment data. 1.… MHT CET Medical 2026In a photoelectric cell, for the incident radiation of wavelength λ , the fastest… MHT CET Medical 2026A particle is dropped from a height ' y '. The de-Broglie wavelength of the particle as a… MHT CET Medical 2026 Full Dual Nature of Matter list All NEET PYQs