What should be the order of arrangement of de-Broglie wavelength of electron ( λ e), an α -particle ( λ a) and proton ( λ p) given that all have the same kinetic energy? (a) λ e = λ p = λα (b) λ e λ p > λα (d) λ e = λ p > λα

Answer: (c). Same kinetic energy: λ = (h)/(√(2mK)) ∝ 1/√(m). me λp > λα So the answer is (c).

What should be the order of arrangement of de-Broglie wavelength of… | JEE Main 2021 (25 Jul, Shift 1)

Q93JEE Main 2021 · 25 JUL · SHIFT 1Easy

Matter Waves: de Broglie Wavelength

What should be the order of arrangement of de-Broglie wavelength of electron ( $\lambda$ e), an $\alpha$ -particle ( $\lambda$ a) and proton ( $\lambda$ p) given that all have the same kinetic energy?

Show answer and solution

Answer: (c)

Same kinetic energy: $\lambda = \dfrac{h}{\sqrt{2mK}} \propto \dfrac{1}{\sqrt{m}}$ .
$m_e < m_p < m_\alpha \Rightarrow \lambda_e > \lambda_p > \lambda_\alpha$
So the answer is (c).

Report a mistake

More questions on Matter Waves: de Broglie Wavelength

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)
According to de-Broglie hypothesis if an electron of mass ' m ' is accelerated by…MHT CET 2021 (23 Sep, Shift 2)
An α particle and a proton are accelerated from rest by a potential difference of 200V…JEE Main 2021 (25 Feb, Shift 1)

Matter Waves: de Broglie Wavelength question from JEE Main 2021 (25 Jul, Shift 1)

More questions on Matter Waves: de Broglie Wavelength