Download Numberical Problem

Numberical Problem.doc
From WikiEducator
Jump to: navigation, search
Numerical Problem Posted by Shrey Kumar Pandey
Theory of Relativity
Length contraction
Q.1: a rod of 1 m length is mooving along its length with a velocity of 0.6c .calculate its length
as it appears on the earth & also observed by an observer moving with the rod?
Q.2: how fast could a rocket have to go related to an observer for its length to be contracted to
99% of its length at rest?
Q.: explain and prove how the circle seems to be contracted to elepthical shape?
Q.: how the linne will cintract if it is moving when it is inclined at an angle with x- axis?
Time dilation
Q.3: the mean lifetime of a neuclear particle is 9x 10-6 sec as measured by an observer at rest
relative to particle. The particle is moving with velocity 0.9 c then what is its life time?
Q.4: a clock in a space ship emits signnals at intervals of 1 sec. As observed by an austronout in
the space ship.if the space ship travells with a speed of 3x 107 m sec-1.what is the interval
between successive signals as seen by an observer in the control tower on earth?
Q.5: a particle with a proper lifetime of 1 micro sec. Moves through the laboratory at 2.7 x 108 m
sec-1.what is its life time as measured by observer in the laboratory and the distance travelled by
it before it integrate?
Velocity addition
Q.6: an experimentor observes a radioactive atom moving with a velocity of 0.25 c. Then emits
α, β particle which have a velocity of 0.9 c relative to the atom in the direction of its motion.
What is the velocity of the β particle as observed by the experimentor?
Q.7: an electron is moving with a speed of 0.85 c in a direction opposite to that of a oving
photon. Calculate the relative velocity of the photon with respect to the electron?
Variation of mass
Q.8: at what speed is a particle moving if the mass is equal to three times its rest mass?
Mass energy equivalence
Q.9: find energy in 1 amu mass ?
Q.10: calculate the rest energy of electronin jouls and
Q.11: if 4 kg of a substance is fully converted into energy. How much energy it will produce?
Q.12: calculate the kinetic energy of a moving electron with a velocity of 0.98 c in the
laboratory?
Light
Young’s double slit experiment
Q.1: in young’s double slit experiment a transparent film of μ=1.5 is introduced in the path of
one of the beam. If the central fringe get shifted by 0.2 cm. Calculate the thickness of mica sheet.
The separation between the two slits is 0.1 cm and distance between screen and slit is 50 cm?
Q.2: for a λ=5.89 x 10-5 , β is 0.431 mm after putting a thin mica sheet of μ=1.59 in the path of
one ray. Calculate the thickness of the sheet when the central fringe is shifted by 1.89 mm?
Q.3: in young’s double slit experiment a transparent film of thickness 10-3 cm is introduced in
the path of one beam. Central fringe is displaced by 8th bright fringe. Calculate the μ of the
fringe? Given λ= 6000 å.
Newton’s ring experiment
Q.4: in newton’s ring experiment sodium light is normally incedent, the diameter of the 10th
dark ring is 0.5 cm. Find the radius of curvature of the lens used and the thickness of the air film
at the point?
Q.5: in newton’s ring experiment diameter of 3rd and 23rd bright ring is 0.18 cm and 0.501 cm.
Calculate λ if the radius of curvature is ½ m?
Q.6: in newton’s ring experiment diameter of 10th dark ring changes from 0.3 cm to 0.25 cm
when oil is used. Calculate μ?
Q.7: why the central ring is dark in newton’s ring experiment? Prove it.
Note:
μ=refractive index
λ = wavelength of light
å = 10-10 m
Retrieved from
"http://wikieducator.org/index.php?title=Numberical_Problem.doc&oldid=602466"
Navigation menu
Personal tools


Log in
Request account
Namespaces


Page
Discussion
Variants
Views



Read
View source
View history
Actions
Search
Navigation



Main Page
Recent changes
Help

Practice editing
Community



Community portal
Web chat
Mailing list
Print/export



Create a book
Download as PDF
Printable version
Tools






What links here
Related changes
Upload file
Special pages
Permanent link
Page information



This page was last modified on 4 September 2010, at 08:45.
This page has been accessed 69 times.
Content is available under the Creative Commons Attribution Share Alike License unless
otherwise noted.



Privacy policy
About WikiEducator
Disclaimers

