Student Login

Home›Chapters›Dual Nature of Radiation and Matter PYQs›Matter Waves: de Broglie Wavelength›Question 69

JEE Main 2023 (29 Jan, Shift 2) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from JEE Main 2023 (29 Jan, Shift 2)

Q69JEE Main 2023 · 29 JAN · SHIFT 2Easy

Matter Waves: de Broglie Wavelength

The ratio of de-Broglie wavelength of an $\alpha$ particle and a proton accelerated from rest by the same potential is $\frac{1}{\sqrt{m}}$ , the value of m is -

Show answer and solution

Answer: (c)

$\lambda = \dfrac{h}{\sqrt{2mqV}} \Rightarrow \lambda \propto \dfrac{1}{\sqrt{mq}}$ for the same $V$ .
$\dfrac{\lambda_\alpha}{\lambda_p} = \sqrt{\dfrac{m_p e}{4m_p \cdot 2e}} = \dfrac{1}{\sqrt{8}}$
So $m = 8$ , answer (c).

Report a mistake

More questions on Matter Waves: de Broglie Wavelength

An α -particle, a proton and an electron have the same kinetic energy. Which one of the…JEE Main 2023 (24 Jan, Shift 2)
The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is λ₁. If…JEE Main 2023 (10 Apr, Shift 1)
Graph shows the variation of de-Broglie wavelength (λ) versus 1/√(V) where ' V ' is the…MHT CET 2023 (12 May, Shift 2)
An electron accelerated through a potential difference ' V₁ ' has a de-Broglie wavelength…MHT CET 2023 (10 May, Shift 1)
An electron accelerated through a potential difference V₁ has a de-Broglie wavelength of…JEE Main 2023 (30 Jan, Shift 2)
A proton and an α -particle are accelerated from rest by 2 V and 4 V potentials…JEE Main 2023 (12 Apr, Shift 1)
The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic…JEE Main 2023 (11 Apr, Shift 2)
The kinetic energy of an electron, α -particle and a proton are given as 4 K, 2 K and K…JEE Main 2023 (6 Apr, Shift 1)