1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The pressure exerted by an ideal gas at a particular temperature is directly proportional to

A
the mean speed of the gas molecules.
B
mean of the square of the speed of the gas molecules.
C
the square of the mean speed of the gas molecules.
D
the root mean square speed of the gas molecules.
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The temperature of an ideal gas is increased from $$27^{\circ} \mathrm{C}$$ to $$927^{\circ} \mathrm{C}$$. The r.m.s. speed of its molecules becomes

A
twice
B
four times.
C
half.
D
one-fourth.
3
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A jar '$$\mathrm{P}$$' is filled with gas having pressure, volume and temperature $$\mathrm{P}, \mathrm{V}, \mathrm{T}$$ respectively. Another gas jar $$Q$$ filled with a gas having pressure $$2 \mathrm{P}$$, volume $$\frac{\mathrm{V}}{4}$$ and temperature $$2 \mathrm{~T}$$. The ratio of the number of molecules in jar $$\mathrm{P}$$ to those in jar $$Q$$ is

A
$$1: 1$$
B
$$1: 2$$
C
$$2: 1$$
D
$$4: 1$$
4
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

For a gas having '$$\mathrm{X}$$' degrees of freedom, '$$\gamma$$' is ($$\gamma=$$ ratio of specific heats $$=\mathrm{C_P / C_V}$$)

A
$$\frac{1+X}{2}$$
B
$$1+\frac{X}{2}$$
C
$$1+\frac{2}{x}$$
D
$$1+\frac{1}{x}$$
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