EASY
JEE Main
IMPORTANT
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If a semiconductor photo diode can detect a photon with a maximum wavelength of 400 nm, then its band gap energy is: Planck's constant h=6.63×10-34 J s 
Speed of light c=3×108 m s-1.

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Important Questions on Dual Nature of Matter and Radiation

EASY
JEE Main
IMPORTANT
Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sources emit light of the same power 200 W. The ratio of the number density of photons of X-rays to the number density of photons of the visible light of the given wavelengths is:
MEDIUM
JEE Main
IMPORTANT

Given figure shows few data points in a photo-electric effect experiment for a certain metal. The minimum energy for ejection of electrons from its surface is: (Planck's constant h=6.62×1034 J.s)

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EASY
JEE Main
IMPORTANT
In the line spectra of hydrogen atom, difference between the largest and the shortest wavelengths of the Lyman series is 305 A. The corresponding difference for the Paschan series in A is:________. (nearest integer)
MEDIUM
JEE Main
IMPORTANT

In a photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is shown in the figure. As the intensity of incident radiation is increased : 

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EASY
JEE Main
IMPORTANT
The surface of a metal is illuminated alternately with photons of energies E1=4 eV and E2=2.5 eV respectively. The ratio of maximum speeds of the photoelectrons emitted in the two cases is 2. The work function of the metal in (eV) is..........
 
EASY
JEE Main
IMPORTANT
Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie wave length of nitrogen molecule is close to : (Given : nitrogen molecule weight : 4.64×1026kg, Boltzman constant : 1.38×1023J K-1, Planck constant : 6.63×1034J s)
HARD
JEE Main
IMPORTANT
A beam of electromagnetic radiation of intensity 6.4×105 W cm-2 is comprised of wavelength, λ=310 nm . It falls normally on a metal (work function ϕ=2 eV) of surface area of 1cm2 . If one in 103 photons ejects an electron, total number of electrons ejected in 1 s is 10x. hc=1240 eV nm,1 eV=1.6×10-19 J, then x is ___________
EASY
JEE Main
IMPORTANT
An electron (of mass m ) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is ( c= speed of light in vacuum)