1
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The molar specific heat of an ideal gas at constant pressure and constant volume is $$\mathrm{C}_{\mathrm{p}}$$ and $$\mathrm{C}_{\mathrm{v}}$$ respectively. If $$\mathrm{R}$$ is universal gas constant and $$\gamma=\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}$$ then $$\mathrm{C}_{\mathrm{v}}=$$

A
$$\frac{1-\gamma}{1+\gamma}$$
B
$$\frac{1+\gamma}{1-\gamma}$$
C
$$\frac{\gamma-1}{\mathrm{R}}$$
D
$$\frac{\mathrm{R}}{\gamma-1}$$
2
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A composite slab consists of two materials having coefficient of thermal conductivity $$\mathrm{K}$$ and $$2 \mathrm{~K}$$, thickness $$\mathrm{x}$$ and $$4 \mathrm{x}$$ respectively. The temperature of the two outer surfaces of a composite slab are $$\mathrm{T}_2$$ and $$\mathrm{T}_1\left(\mathrm{~T}_2 > \mathrm{T}_1\right)$$. The rate of heat transfer through the slab in a steady state is $$\left[\frac{\mathrm{A}\left(\mathrm{T}_2-\mathrm{T}_1\right) \mathrm{K}}{\mathrm{x}}\right] \cdot \mathrm{f}$$ where '$$\mathrm{f}$$' is equal to

A
1
B
$$\frac{2}{3}$$
C
$$\frac{1}{2}$$
D
$$\frac{1}{3}$$
3
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A black sphere has radius '$$R$$' whose rate of radiation is '$$E$$' at temperature '$$T$$'. If radius is made $$R / 3$$ and temperature '$$3 T$$', the rate of radiation will be

A
E
B
3E
C
6E
D
9E
4
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A gas at normal temperature is suddenly compressed to one-fourth of its original volume. If $$\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=\gamma=1.5$$, then the increase in its temperature is

A
273 K
B
373 K
C
473 K
D
573 K
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