Student Login

Home›Chapters›Dual Nature of Radiation and Matter PYQs›Matter Waves: de Broglie Wavelength›Question 7

JEE Main 2026 (5 Apr, Shift 2) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from JEE Main 2026 (5 Apr, Shift 2)

Q7JEE Main 2026 · 5 APR · SHIFT 2Medium

Matter Waves: de Broglie Wavelength

An electron is travelling with a velocity $v$ in free space and when it enters a medium, its velocity is reduced by $20\%$ . The de Broglie wavelength of electron in the medium is $\alpha\lambda_0$ , where $\lambda_0$ is its de Broglie wavelength in free space. The value of $\alpha$ is ______.

Show answer and solution

Answer: (c)

$\lambda = \dfrac{h}{mv} \propto \dfrac{1}{v}$ .
In the medium $v' = 0.8v$ , so $\lambda = \dfrac{\lambda_0}{0.8} = 1.25\lambda_0$ .
So $\alpha = 1.25$ , answer (c).

Report a mistake

More questions on Matter Waves: de Broglie Wavelength

An electron accelerated through a potential difference V₁ has a de-Broglie wavelength of…MHT CET 2026 (13 Apr, Shift 2)
The de Broglie wavelength for an electron accelerated through the potential difference of…JEE Main 2026 (6 Apr, Shift 2)
A particle having electric charge 3 × 10⁻¹⁹ C and mass 6 × 10⁻²⁷ kg is accelerated by…JEE Main 2026 (21 Jan, Shift 2)
The ratio of the accelerating potentials required to accelerate (i) an α -particle and…MHT CET 2026 (17 Apr, Shift 2)
The de Broglie wavelength associated with an electron accelerated through a potential…JEE Main 2026 (4 Apr, Shift 2)
The ratio of de Broglie wavelength of a deuteron with kinetic energy E to that of an…JEE Main 2026 (28 Jan, Shift 1)
The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at…MHT CET 2026 (12 May, Shift 2)
The de Broglie wavelength of an oxygen molecule at 27 is x × 10⁻¹² m. The value of x is…JEE Main 2026 (23 Jan, Shift 1)