1
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
$${60^ \circ }C;\,\,\alpha = 1.85 \times {10^{ - 4}}/{}^ \circ C$$
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
$$'n'$$ 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
$${{3{P_0}{V_0}} \over {2nR}}$$
4
JEE Main 2015 (Offline)
+4
-1
A solid body of constant heat capacity $$1$$ $$J/{}^ \circ C$$ is being heated by keeping it in contact with reservoirs in two ways:
$$(i)$$ Sequentially keeping in contact with $$2$$ reservoirs such that each reservoir
$$\,\,\,\,\,\,\,\,$$supplies same amount of heat.
$$(ii)$$ Sequentially keeping in contact with $$8$$ reservoirs such that each reservoir
$$\,\,\,\,\,\,\,\,\,\,$$supplies same amount of heat.
In both the cases body is brought from initial temperature $${100^ \circ }C$$ to final temperature $${200^ \circ }C$$. Entropy change of the body in the two cases respectively is :
A
$$ln2, 2ln2$$
B
$$2ln2, 8ln2$$
C
$$ln2, 4ln2$$
D
$$ln2, ln2$$
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