Student Login

Home›Chapters›Dual Nature of Radiation and Matter PYQs›Matter Waves: de Broglie Wavelength›Question 19

MHT CET 2026 (11 Apr, Shift 2) · Matter Waves: de Broglie Wavelength

Matter Waves: de Broglie Wavelength question from MHT CET 2026 (11 Apr, Shift 2)

Q19MHT CET 2026 · 11 APR · SHIFT 2Medium

Matter Waves: de Broglie Wavelength

According to de-Broglie hypothesis, the ratio of the wave-length of a photon and that of an electron having same energy 'E' is (m = mass of electron, c = velocity of light)

Show answer and solution

Answer: (c)

Photon: $\lambda_{ph} = \dfrac{hc}{E}$ . Electron: $\lambda_e = \dfrac{h}{\sqrt{2mE}}$ .
$\dfrac{\lambda_{ph}}{\lambda_e} = \dfrac{c\sqrt{2mE}}{E} = c\sqrt{\dfrac{2m}{E}}$
So the answer is (c).

Report a mistake

More questions on Matter Waves: de Broglie Wavelength

A photon and an electron have equal energy E. The ratio of λ (electron) to λ (photon) is…MHT CET 2026 (11 Apr, Shift 1)
A photon and an electron, each of 20 eV energy, move in free space. The ratio of linear…NEET 2026 (Re-neet)
An electron is moving with initial velocity v = ak in a magnetic field B = bj. Its…MHT CET 2026 (12 May, Shift 1)
An electron is moving with initial velocity v = V₀j in a magnetic field B = B₀i. Its…MHT CET 2026 (20 Apr, Shift 2)
A photoemissive substance is illuminated with a radiation of wavelength λi so that it…MHT CET 2026 (16 Apr, Shift 2)
Light of wavelength ' λ ' which is less than threshold wavelength is incident on a…MHT CET 2026 (15 Apr, Shift 1)
An electron of mass m and charge e initially at rest gets accelerated by a constant…MHT CET 2026 (15 May, Shift 1)
An electron of mass m is moving in an electric field E = -2Eoi (Eo = constant > 0), with…JEE Main 2026 (5 Apr, Shift 1)