1
IIT-JEE 2011 Paper 1 Offline
Numerical
+4
-0

Four solid spheres each of diameter $$\sqrt 5$$ cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4 cm. The moment of inertia of the system about the diagonal of the square is N $$\times$$ 10−4 kg-m2, then N is

2
IIT-JEE 2011 Paper 1 Offline
+2
-0.5
5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T1, the work done in the process is
A
$${9 \over 8}R{T_1}$$
B
$${3 \over 2}R{T_1}$$
C
$${15 \over 8}R{T_1}$$
D
$${9 \over 2}R{T_1}$$
3
IIT-JEE 2011 Paper 1 Offline
Numerical
+3
-0
Steel wire of lenght ‘L’ at 40oC is suspended from the ceiling and then a mass ‘m’ is hung from its free end. The wire is cooled down from 40oC to 30oC to regain its original length ‘L’. The coefficient of linear thermal expansion of the steel is 10−5 /oC, Young’s modulus of steel is 1011 N/m2 and radius of the wire is 1 mm. Assume that L >> diameter of the wire. Then the value of ‘m’ in kg is nearly
4
IIT-JEE 2011 Paper 1 Offline
+3
-0.75
A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which reflects the sound waves. The speed of sound in air is 320 m/s. The frequency of the siren heard by the car driver is
A
8.50 kHz
B
8.25 kHz
C
7.75 kHz
D
7.50 kHz
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