A perfectly reflecting mirror of mass M mounted on a spring constitutes a spring-mass system of angular frequency Ω such that {4\pi{M}Ω}/{{h}}=10^{24}{m}^{-2} with h as Planck’s constant. N photons of wavelength \lambda=8\pi\times10^{-6}{m} strike the mirror simultaneously at normal incidence such that the mirror gets displaced by 1µm. If the value of N is x\times10^12 then the value of x is ______ [Consider the spring as massless] [JEE Adv 2019 P2]

Dual Nature of Radiation

Section: Physics

Question : 7 of 24

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A perfectly reflecting mirror of mass M mounted on a spring constitutes a spring-mass system of angular frequency Ω such that ‌‌

4πMΩ

=1024m−2 with h as Planck’s constant. N photons of wavelength λ=8π×10−6m strike the mirror simultaneously at normal incidence such that the mirror gets displaced by 1µm. If the value of N is x×1012 then the value of x is ______
[Consider the spring as massless]

[JEE Adv 2019 P2]

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