1
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0oC. If the temperature of the wire is increased and the corresponding change in its time period is plotted against its temperature, the resulting graph is a line of slope S. If the coefficient of linear expansion of metal is $$\alpha$$ then the value of S is :
A
$$\alpha$$
B
$${\alpha \over 2}$$
C
2$$\alpha$$
D
$${1 \over \alpha }$$
2
JEE Main 2016 (Offline)
+4
-1
An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity $$C$$ remains constant. If during this process the relation of pressure $$P$$ and volume $$V$$ is given by $$P{V^n} =$$ constant, then $$n$$ is given by (Here $${C_p}$$ and $${C_v}$$ are molar specific heat at constant pressure and constant volume, respectively:
A
$$n = {{{C_p} - C} \over {C - {C_v}}}$$
B
$$n = {{C - {C_v}} \over {C - {C_p}}}$$
C
$$n = {{{C_p}} \over {{C_v}}}$$
D
$$n = {{C - {C_p}} \over {C - {C_v}}}$$
3
JEE Main 2016 (Offline)
+4
-1
A pendulum clock loses $$12$$ $$s$$ a day if the temperature is $${40^ \circ }C$$ and gains $$4$$ $$s$$ a day if the temperature is $${20^ \circ }C.$$ The temperature at which the clock will show correct time, and the co-efficient of linear expansion $$\left( \alpha \right)$$ of the metal of the pendulum shaft are respectively :
A
$${30^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 3}}/{}^ \circ C$$
B
$${55^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 2}}/{}^ \circ C$$
C
$${25^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 5}}/{}^ \circ C$$
D
$${60^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 4}}/{}^ \circ C$$
4
JEE Main 2016 (Offline)
+4
-1
$$'n'$$ moles of an ideal gas undergoes a process $$A$$ $$\to$$ $$B$$ as shown in the figure. The maximum temperature of the gas during the process will be :

A
$${{9{P_0}{V_0}} \over {2nR}}$$
B
$${{9{P_0}{V_0}} \over {nR}}$$
C
$${{9{P_0}{V_0}} \over {4nR}}$$
D
$${{3{P_0}{V_0}} \over {2nR}}$$
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