1
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
2
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
3
IIT-JEE 2011 Paper 1 Offline
+2
-0.5
Consider an electric field $$\overrightarrow E = {E_0}\widehat x$$ where $${E_0}$$ is a constant. The flux through the shaded area (as shown in the figure) due to this field is
A
$$2{E_0}{a_2}$$
B
$$\sqrt 2 {E_0}{a^2}$$
C
$${E_0}\,{a^2}$$
D
$${{{E_0}{a^2}} \over {\sqrt 2 }}$$
4
IIT-JEE 2011 Paper 1 Offline
+2
-0.5
A $$2$$ $$\mu F$$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $$S$$ is turned to position $$2$$ is
A
$$0\%$$
B
$$20\%$$
C
$$75\%$$
D
$$80\%$$
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