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Radiation, with wavelength 6561  A0 falls on a metal surface to produce photoelectrons . The electrons are made to enter a uniform magnetic field of  3×104T . If  the radius of the largest circular path followed by the electrons is 10 mm, the work function  of the metal close to:

a
1.8  eV
b
0.8  eV
c
1.1  eV
d
1.6 eV

detailed solution

Correct option is C

Incident Energy, Ei=12400λin A0=124006561=1.89  eV    Radius of Circle, r=mvBe=2mKBe⇒ K=r2B2e22m=10×10−32×3×10−42×1.6×10−1922×9.1×10−31J×1 eV1.6×10−19J=0.79eV∴Work function =Ei−K=1.1  eV

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