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A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?
25 m/s2
0.25 rad/s2
25 rad/s2
5 m/s2
C.
25 rad/s2
τ = I α
F × R = MR2α
30 × 0.4 = 3 × (0.4)2 α
12 = 3 × 0.16 α
400 = 16 α
α = 25 rad/s2
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Copper of fixed volume V is drawn into wire of length l. When this wire is subjected to a constant force F, the extension produced in the wire is 
. Which of the following graphs is a straight line?
B.
According to Hooke's law,
Young's Modulus is given by,
... (i)
V = A xl = constant ... (ii)
From equations (i) and (ii), we have
For a cubic structure which one of the following relations indicating the cell characteristic is correct?
D.
In cubic crystal, the crystal axes are perpendicular to one another (α= β =γ=90) and the repetitive interval is the same along the three axes (a= b=c).
Sodium has body centred packing.Distance between two nearest atoms is 3.7 A. The lattice parameter is
6.8 A
4.3 A
3.0 A
8.6 A
B.
4.3 A
The neighbour distance of a body centred cubic cell,
where a is the lattice parameter.
The approximate depth of an ocean is 2700 m.The compressibility of water is 45.4 x 10-11 Pa-1 and density of water is 103 kg/m3. What obtained at the bottom of the ocean?
0.8 x10-2
1.0 x 10-2
1.2 x 10-2
1.4 x 10-2
C.
1.2 x 10-2
Given d = 2700m
Compressibility =454 x 10-11 per pascal
The pressure at the bottom of ocean is given by
= 103 x 10 x 2700 = 27 x 106 Pa
So,fractional compression =compressibilty x pressure
= 45.4 x 10-11 x 27 x 106 = 1.2 x 10-2
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