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A uniform silver wire has a resistivity of 1.54×10−⁸ Ω-m at room temperature. For an electric field of 1 V/cm, calculate (i) Relaxation time τ, (ii) Drift velocity Vd and (iii) mobility μ.
If a metal has 5.82 × 10²⁸ conduction electrons/m³  , find the relaxation time in a metal of  resistivity 1.543 × 10-⁸ Ω-m.
Solution Of Diffraction Numerical Problems
How many orders will be visible if the wavelength of incident radiation is 5893 A and the number of lines on grating is 2540/inch.
A parallel beam of monochromatic light is incident normally on a plane transmission grating having 1250 lines/cm and a second order spectral line is observed at 30o  . Calculate the  wavelength of spectral line.
Find the resolving power of a grating having 6000 lines/cm in the fi rst-order diffraction. The ruled length of the grating is 15 cm.
There are 15,000 lines per inch in a grating. What is the maximum number of order obtained by using light of wavelength 6000 Å?
A monochromatic light of wavelength 6000×10−8 cm is diffracted by a single slit kept at a distance of 100 cm from the screen. The first diffracted minimum appears at a distance of 1 mm from the central maximum. Find the width of the slit.
What is the least separation between wavelengths that can be resolved near 640 nm in the second order, using a diffraction grating that is 5 cm wide and ruled with 32 lines per millimetre?
What is the highest spectral order that can be seen if a grating with 6000 lines / cm is illuminated by a source of 650 nm wavelength? (Assume normal incidence.)
At what angle will 650 nm light produce a second order maximum when falling on a grating whose slits are 1.2 × 10–3 cm apart?
Parallel light of wavelength 6563Å is incident normally on a slit 0.385 mm wide. A lens with a focal length of 50.0 cm located just behind the slit brings the diffraction pattern to focus on a white screen. Find the distance from the centre of the principal maximum to (a) the first minimum and (b) the fifth minimum.
Why He-Ne gas Laser is superior than Ruby Laser? 
Write short note on working principle of (i) He-Ne Laser (ii) CO2 Laser.
LASER Assignment Solutions
Explain the features and working principle of solid state ruby laser with energy level diagram.
Define the terms (i) population inversion (ii) pumping processes.
What is working principle of laser and explain the main components for laser action?
How Einstein’s A & B coefficients are related with each other, derive the expression?
Explain the processes with energy level diagram (i) Stimulated absorption (ii) Spontaneous emission (iii) Stimulated emission of radiation.