Thermometry and Calorimetry | JEE Main previous year questions with Solutions

Q 11 :

On a temperature scale ‘X’, the boiling point of water is 65°X and the freezing point is –15°X. Assume that the X scale is linear. The equivalent temperature corresponding to –95°X on the Fahrenheit scale would be [2023]

–63°F
–112°F
–48°F
–148°F

1

2

3

4

(4)

$\frac{X - X_{freez}}{X_{boil} - X_{freez}} = \frac{t - 32}{212 - 32}$

$\frac{- 95 - (- 15)}{65 - (- 15)} = \frac{t - 32}{180}$

$\Rightarrow \frac{- 80}{80} = \frac{t - 32}{180}$

$t = - 180 + 32$

$\Rightarrow t = - 148 ° F$

Q 12 :

A faulty thermometer reads 5°C in melting ice and 95°C in steam. The correct temperature on the absolute scale will be _____ K when the faulty thermometer reads 41°C. [2023]

0%

(313)

$\frac{41 ° - 5 °}{95 ° - 5 °} = \frac{C - 0 °}{100 ° - 0 °}$

$\Rightarrow C = \frac{36}{90} \times 100 = 40 ° C = 313 K$

Q 13 :

In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg, moving in opposite directions with speeds 10 m/s and 30 m/s respectively, strike each other and stick together. The rise in temperature (in ${}^{\circ}C$ ), if all the heat produced during the collision is retained by these spheres, is:

(specific heat of sphere material $31 cal/kg ° C$ and 1 cal = 4.2 J) [2026]

1.95
1.15
1.75
1.44

1

2

3

4

(4)

Q 14 :

A gas based geyser heats water flowing at the rate of 5.0 litres per minute from $27 ° C to 87 ° C$ . The rate of consumption of the gas is _____ g/s. (Take heat of combustion of gas = $5.0 \times 10^{4}$ J/g) specific heat capacity of water = 4200 J/kg. °C [2026]

0.21
2.1
4.2
0.42

1

2

3

4

(4)

$Water flow rate = 5 ℓ / min = \frac{5}{60} kg/s$

$∴$ $Power of heater = \frac{d m}{d t} S Δ T = \frac{1}{12} \times 4200 \times 60 W$

$∴$ $Let rate of consumption of gas be x g/s.$

$∴$ $x \times 5.0 \times 10^{4} = \frac{1}{12} \times 4200 \times 60$

$\Rightarrow x = 4200 \times 10^{- 4} = 0.42 g/s$

Q 15 :

10 kg of ice at $- 10 ° C$ is added to 100 kg of water to lower its temperature from $25 ° C$ . Consider no heat exchange to surroundings. The decrement to the temperature of water is ______ $° C .$

$(specific heat of ice = 2100 J/kg ° C, specific heat of water = 4200 J/kg ° C, latent heat of fusion of ice = 3.36 \times 10^{5} J/kg)$ [2026]

11.6
10
15
6.67

1

2

3

4

(2)

Topic Question Set

Q 11 :

On a temperature scale ‘X’, the boiling point of water is 65°X and the freezing point is –15°X. Assume that the X scale is linear. The equivalent temperature corresponding to –95°X on the Fahrenheit scale would be [2023]

Q 12 :

A faulty thermometer reads 5°C in melting ice and 95°C in steam. The correct temperature on the absolute scale will be _____ K when the faulty thermometer reads 41°C. [2023]

0%

Q 14 :

A gas based geyser heats water flowing at the rate of 5.0 litres per minute from $27 ° C to 87 ° C$ . The rate of consumption of the gas is _____ g/s. (Take heat of combustion of gas = $5.0 \times 10^{4}$ J/g) specific heat capacity of water = 4200 J/kg. °C [2026]

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