A heater supplying constant power $P$ watts is switched $ON$ at time $t=0 \,min$ 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 to the surroundings during heating. Then,
A heater supplying constant power $P$ watts is switched $ON$ at time $t=0 \,min$ 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 to the surroundings during heating. Then,
- [KVPY 2019]
- A
the graph is a straight line parallel to the time axis
- B
the heat capacity of the liquid is inversely proportional to the slope of the graph
- C
if some heat were lost at a constant rate to the surroundings during heating, the graph would be a straight line but with a larger slope
- D
the internal energy of the liquid increases quadratically with time
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- [JEE MAIN 2021]
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- [KVPY 2017]
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