Electromagnetic radiation having time varying electric field E=E01+cosωtcosω0t falls on a metal surface of work function ϕ. If ω>ω0, the possible speed(s) of photoelectron is (ℏω−ω0>ϕ>ℏω0 where ℏ=h2π)
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a
2ℏω−ϕm
b
2mℏω+ω0−ϕ
c
2mℏω0−ϕ
d
2mℏω−ω0−ϕ
answer is A.
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Detailed Solution
E=E0(1+cosωt)cosω0t=E0cosω0t+E02cosω+ω0t+E02cosω−ω0t∴Kmax=ħω+ω0−ϕ⇒Vmax=2mħω+ω0−ϕAs per question,ℏω−ω0>ϕ⇒ℏω−ϕ>ℏω0Since,ω0 is positive ⇒ ℏω−ϕ is also positive.