QJEEM22Ph18bd: JEE Main 2022 Physics - Class 11 JEEM22Ph18bd Solution: Read the following statements : A. When small temperature…

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QJEEM22Ph18bd: JEE Main 2022 Physics - Class 11 JEEM22Ph18bd Solution: Read the following statements : A. When small temperature…

Read the following statements :

A. When small temperature difference between a liquid and its surrounding is doubled, the rate of loss of heat of the liquid becomes twice.

B. Two bodies $P$ and $Q$ having equal surface areas are maintained at temperature $10^{\circ} C$ and $20^{\circ} C$ . The thermal radiation emitted in a given time by $P$ and $Q$ are in the ratio $1 : 1.15$ .

C. A Carnot Engine working between $100 K$ and $400 K$ has an efficiency of $75 %$ .

D. When small temperature difference between a liquid and its surrounding is quadrupled, the rate of loss of heat of the liquid becomes twice.

Choose the correct answer from the options given below :

Multiple Choice Options

A A, B, C only
B A, B only
C A, C only
D B, C, D only

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Accepted Answer

From Newton's cooling law $\frac{d Q}{d t} = - k (T - T_{s})$ the statement A is correct.

For B

$U = σ e A T^{4}$

So, $\frac{U_{1}}{U_{2}} = {(\frac{283}{293})}^{4} ≃ \frac{1}{1.15}$

Statement B is correct

For C

$η = 1 - \frac{T_{1}}{T_{2}} = 1 - \frac{100}{400} = \frac{3}{4}$

So, efficiency is 75% C is correct

For D

From Newton's law of cooling $\frac{d Q}{d t} = - k (T - T_{s})$

The statement is wrong.

QJEEM22Ph18bd: JEE Main 2022 Physics - Class 11 JEEM22Ph18bd Solution: Read the following statements : A. When small temperature…

Multiple Choice Options

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