1
MHT CET 2021 22th September Morning Shift
+1
-0

Let '$$\mathrm{W}_1$$' be the work done in blowing a soap bubble of radius '$$r$$' from soap solution at room temperature. The soap solution is now heated and second soap bubble of radius '$$2 r$$' is blown from the heated soap solution. If '$$W_2$$' is the work done in forming this bubble then

A
$$\mathrm{W}_2=2 \mathrm{~W}_1$$
B
$$\mathrm{W}_2=4 \mathrm{~W}_1$$
C
$$\mathrm{W}_2>4 \mathrm{~W}_1$$
D
$$\mathrm{W}_2<4 \mathrm{~W}_1$$
2
MHT CET 2021 22th September Morning Shift
+1
-0

A cylindrical rod is having temperatures $$\theta_1$$ and $$\theta_2$$ at its ends. The rate of heat flow is '$$Q$$' $$\mathrm{J}{\mathrm{s}}^{-1}$$. All the linear dimensions of the rod are doubled by keeping the temperatures constant. What is the new rate of flow of heat?

A
$$\frac{Q}{2}$$
B
$$\frac{Q}{4}$$
C
$$2 \mathrm{Q}$$
D
$$\frac{3 Q}{2}$$
3
MHT CET 2021 22th September Morning Shift
+1
-0

For a gas molecule with 6 degrees of freedom, which one of the following relation between gas constant '$$\mathrm{R}$$' and molar specific heat '$$\mathrm{C}_{\mathrm{v}}$$' is correct?

A
$$R=\frac{C_v}{3}$$
B
$$\mathrm{R}=\frac{5 \mathrm{C}_{\mathrm{v}}}{4}$$
C
$$\mathrm{R}=\frac{\mathrm{C}_{\mathrm{v}}}{2}$$
D
$$\mathrm{R}=\frac{3 \mathrm{C}_{\mathrm{v}}}{4}$$
4
MHT CET 2021 21th September Evening Shift
+1
-0

What is the ratio of the velocity of sound in hydrogen $$\left(\gamma=\frac{7}{5}\right)$$ to that in helium $$\left(\gamma=\frac{5}{3}\right)$$ at the same temperature? (Molecular weight of hydrogen and helium is 2 and 4 respectively.)

A
$$\frac{\sqrt{42}}{5}$$
B
$$\frac{5}{\sqrt{42}}$$
C
$$\frac{\sqrt{21}}{5}$$
D
$$\frac{5}{\sqrt{21}}$$
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