Student Login

Home›Chapters›Dual Nature of Radiation and Matter PYQs›Matter Waves: de Broglie Wavelength›Question 91

MHT CET 2021 (21 Sep, Shift 2) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from MHT CET 2021 (21 Sep, Shift 2)

Q91MHT CET 2021 · 21 SEP · SHIFT 2Easy

Matter Waves: de Broglie Wavelength

A proton and alpha particle are accelerated through the same potential difference. The ratio of the de-Broglie wavelength of proton to that of alpha particle will be (mass of alpha particle is four times mass of proton.)

Show answer and solution

Answer: (b)

$\lambda \propto \dfrac{1}{\sqrt{mq}}$ for the same accelerating potential.
$\dfrac{\lambda_p}{\lambda_\alpha} = \sqrt{\dfrac{4m\cdot2e}{m\cdot e}} = \sqrt{8} = 2\sqrt{2}$ .
So the answer is (b) $2\sqrt{2} : 1$ .

Report a mistake

More questions on Matter Waves: de Broglie Wavelength

A moving proton and electron have the same de-Broglie wavelength. If K and P denote the…JEE Main 2021 (31 Aug, Shift 1)
What should be the order of arrangement of de-Broglie wavelength of electron ( λ e), an α…JEE Main 2021 (25 Jul, Shift 1)
An electron of mass me and a proton of mass mp are accelerated through the same potential…JEE Main 2021 (22 Jul, Shift 2)
The de-Broglie wavelength associated with an electron and a proton were calculated by…JEE Main 2021 (16 Mar, Shift 2)
An electron of mass me and a proton of mass mp = 1836 me are moving with the same speed…JEE Main 2021 (25 Feb, Shift 2)
The de-Broglie wavelength of a proton and α -particle are equal. The ratio of their…JEE Main 2021 (24 Feb, Shift 2)
What is the additional energy that should be supplied to a moving electron to reduce its…MHT CET 2021 (20 Sep, Shift 2)
A particle is travelling 4 time as fast as an electron. Assuming the ratio of de-Broglie…JEE Main 2021 (18 Mar, Shift 1)