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Q.

A beam of electromagnetic radiation of intensity  6.4×10−5 W/cm2 is comprised of wavelength, λ=310 nm. It falls normally on a metal(work function φ=2eV ) of surface area 1cm2. If one in 103photons ejects an electron, total number of electrons ejected in 1s is 10x (hc = 1240 eVnm, 1eV =  1.6 ×10-19J) , then x is _____

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answer is 0011.00.

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Detailed Solution

Power incident  P=I×An = no. of photons incident / second    ∴nEph=IA               ⇒ n=IAEph ⇒n=IAhcλ=6.4×10−5×11240310×1.6×10−19⇒n=10+14 photons per secondSince efficiency  =10−3No. of electrons emitted =10+11  per second.⇒x=11 .
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