JEE Advanced levelSingle correct optionDifficulty 3 of 3as034
For a certain metal the stopping potential for light of wavelength 300nm is exactly 3 times that for light of wavelength 500nm. The work function of the metal is closest to (use h=6.626×10−34Js, c=3.0×108ms−1, 1eV=1.6×10−19J)
A2.90 eV
B1.66 eV
C0.83 eV
D2.48 eV
Answer: B
Photon energies: 4.141 eV (300 nm) and 2.485 eV (500 nm). With V1 = 3 V2: 4.141 - W = 3(2.485 - W). So 2W = 3(2.485) - 4.141 = 3.313, giving W = 1.66 eV.