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KVPY 2019 SB SX Exam Previous Papers
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© examsnet.com
Question : 33
Total: 120
A heater supplying constant power P watts is switched on at time t = 0 minutes to raise the temperature of a liquid kept in a calorimeter of negligible heat capacity. A student records the temperature of the liquid T(t) at equal time intervals. A graph is plotted with T(t) on the y-axis versus t on the x-axis. Assume that there is no heat loss the surroundings during heating. Then,
the graph is a straight line parallel to the time axis.
the heat capacity of the liquid is inversely proportional to the slope of the graph
if some heat were lost at a constant rate of the surroundings during heating, the graph would be a straight line but with a larger slope
the internal energy of the liquid increases quadratically with time.
Validate
Solution:
P
=
ms
‌
dT
dt
⇒
1
∫
0
Pdt
=
T
∫
T
0
msdT
=
P
t
=
ms
(
T
−
T
0
)
⇒
T
=
P
ms
t
+
T
0
where
T
0
is temperature at
t
=
t
0
© examsnet.com
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