MEDIUM
JEE Main
IMPORTANT
Earn 100

What (a) frequency, (b) photon energy and (c) photon momentum magnitude (in keV c-1) are associated with x-rays having a wavelength 35.0 pm? 

Important Questions on Photons and Matter Waves

HARD
JEE Main
IMPORTANT
A stream of protons, each with a speed of 0.9900 c, are directed into a two-slit experiment where the slit separation is 5.00×109 m. A two-slit interference pattern is built up on the viewing screen. What is the angle between the center of the pattern and the second minimum (to either side of the center?)
HARD
JEE Main
IMPORTANT
Light of wavelength 2.40 pm is directed onto a target containing free electrons. (a) Find the wavelength of light scattered at 30.0° from the incident direction. (b) Do the same for a scattering angle of 120°.
HARD
JEE Main
IMPORTANT
The beam emerging from a 1.5 W argon laser (λ=515 nm) has a diameter d of 3.5 mm. The beam is focused by a lens system with an effective focal length fL of 2.5 mm. The focused beam strikes a totally absorbing screen, where it forms a circular diffraction pattern whose central disk has a radius R given by1.22fLλd. It can be shown that 84% of the incident energy ends up within this central disk. At what rate are photons absorbed by the screen in the central disk of the diffraction pattern?
HARD
JEE Main
IMPORTANT
Calculate the Compton wavelength for (a) an electron and (b) a proton. What is the photon energy for an electromagnetic wave with a wavelength equal to the Compton wavelength of (c) the electron and (d) the proton?
HARD
JEE Main
IMPORTANT
An electron moves through a region of the uniform electric potential of -200 V with a (total) energy of 500 eV. What are its (a) kinetic energy (in electron-volts), (b) momentum, (c) speed, (d) de Broglie wavelength and (e) angular wave number?
HARD
JEE Main
IMPORTANT
(a) If the work function for a certain metal is 1.8 eV, what is the stopping potential for electrons ejected from the metal when the light of wavelength 400 nm shines on the metal? (b) What is the maximum speed of the ejected electrons?
MEDIUM
JEE Main
IMPORTANT
How fast must an electron move to have kinetic energy equal to the photon energy of the sodium light at wavelength 588 nm?
HARD
JEE Main
IMPORTANT
A special kind of light bulb emits monochromatic light of wavelength 630 nm. Electrical energy is supplied to it at the rate of 60 W and the bulb is 93% efficient at converting that energy to light energy. How many photons are emitted by the bulb during its lifetime of 730 h?