JEE Advanced 2020 Full Test 2 Paper 1

The peak emission from a black body at a certain temperature occurs at a wavelength of 6000Å. On increasing its temperature, the total radiation emitted is increased 16 times. These radiations are allowed to fall on a metal surface. Photoelectrons emitted by the peak radiation at higher temperature can be bought to rest by applying a potential equivalent to the excitation potential corresponding to the transition for the level n=4 to n=2 in the Bohr's hydrogen atom. The work function of the metal is given by ‌

α

100

eV where α is the numerical constant. The value of α is found 53×x, find x? [Take: he =12420eV−Å ]