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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 4pMΩ/h  = 1024 m–2 with h as Planck’s constant, N photons of wavelength λ = 8p × 10–6 m strike the mirror simultaneously at normal incidence such that the mirror gets displaced by 1 μm. If the value of N is x × 1012, then the value of x is _______. [Consider the spring as massless]

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