Student Login

Home›Chapters›Dual Nature of Radiation and Matter PYQs›Matter Waves: de Broglie Wavelength›Question 121

NEET 2019 · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from NEET 2019

Q121NEET 2019Easy

Matter Waves: de Broglie Wavelength

A proton and an $\alpha$ -particle are accelerated from rest to the same energy. The de Broglie wavelengths $\lambda_p$ and $\lambda_\alpha$ are in the ratio,

Show answer and solution

Answer: (b)

Same kinetic energy $K$ : $\lambda = \dfrac{h}{\sqrt{2mK}}$ , so $\lambda \propto \dfrac{1}{\sqrt{m}}$ .
$\dfrac{\lambda_p}{\lambda_\alpha} = \sqrt{\dfrac{m_\alpha}{m_p}} = \sqrt{4} = 2$
So the answer is (b) $2 : 1$ .

Report a mistake

More questions on Matter Waves: de Broglie Wavelength

A particle A of mass 'm' and charge 'q' is accelerated by a potential difference of 50 V…JEE Main 2019 (12 Jan, Shift 1)
If the de Broglie wavelength of an electron is equal to 10–3 times the wavelength of a…JEE Main 2019 (11 Jan, Shift 1)
A particle 'P' is formed due to a completely inelastic collision of particles 'x' and 'y'…JEE Main 2019 (9 Apr, Shift 2)
A nucleus A, with a finite de-broglie wavelength λ A, undergoes spontaneous fission into…JEE Main 2019 (8 Apr, Shift 2)
Two particles move at right angle to each other. Their de-Broglie wavelengths are λ₁ and…JEE Main 2019 (8 Apr, Shift 1)
If the de Broglie wavelengths associated with a proton and an α -particle are equal, then…JEE Main 2018 (15 Apr, Shift 2)
An electron of mass m with an initial velocity v = v₀i (v0 > 0) enters an electric field…NEET 2018
The de-Broglie wavelength ( λ B) associated with the electron orbiting in the second…JEE Main 2018 (16 Apr, Shift 1)