From a disc of radius R and mass M , a circular hole of diameter R , whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?
a.15MR^2/32
b.13MR^2/32
c.11MR^2/32
d.9MR^2/32
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Modern vacuum pumps can evacuate a vessel down to a pressure of 4.0 x 10^-15atm. at room temperature (300 K). Taking R = 8.3 KJ^-1 mole^-1, 1 atm = 10^5 Pa and NAvogradro = 6 x 10^23 mole^-1 , the mean distance between molecules of gas in an evacuated vessel will be of the order of
a.0.2mu m
b.0.2 mm
c.0.2 cm
d.0.2 nm
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A toy - car, blowing its horn, is moving with a steady speed of 5 m/s, away from a wall. An observer, towards whom the toy car is moving, is able to hear 5 beats per second. If the velocity of sound in air is 340 m/s, the frequency of the horn of the toy car is close to:
a.680 Hz
b.510 Hz
c.340 Hz
d.170 Hz
An observer looks at a distant tree of height 10 m with a telescope of magnifying power of 20 . To the observer the tree appears:
a.10 times taller
b.10 times nearer
c.20 times taller
d.20 times nearer