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Radiation, with wavelength 6561 A falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of 3×10⁻⁴ T. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to

Asked in JEE Main 9th Jan 1st Shift 2020 · Magnetic field and circular paths

Answer: (2) 1.1 eV

Step-by-step solution

Given: λ=6561 A, B=3×10⁻⁴ T, r=10⁻² m.

v=(eBr)/m=(1.6×10⁻¹⁹×3×10⁻⁴×10⁻²)/(9.1×10⁻³¹)=5.3×10⁵ m s⁻¹.

K=1/2 mv²=1.26×10⁻¹⁹ J =0.79 eV.

E=(12400)/(6561)=1.89 eV, so φ=1.89-0.79≈1.1 eV.

Why the other options are wrong

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