Kinetic Theory

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are K_A, K_B and K_C, respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

• K_A < K_B < K_C

• K_A > K_B > K_C

• K_B > K_A > K_C

• K_B < K_A < K_C

A solid sphere is in rolling motion. In rolling motion, a body possesses translational kinetic energy (K_t) as well as rotational kinetic energy (K_r) simultaneously. The ratio Kt: (K_t+ K_r) for the sphere is

• 7:10

• 5:7

• 2:5

• 10:7

A graph between pressure P (along with the y-axis) and absolute temperature, T (along with the x-axis) for equal moles of two gases have been drawn. Given that the volume of the second gas is more than the volume of first gas. Which of the following statement is correct?

• Slope of gas 1 is less than gas 2

• Slope og gas 1 is more than gas 2

• Both have some slopes

• None of the above

 The root mean square velocity of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0C is 3180 m/s. Calculate the pressure of hydrogen gas:$\left(\mathrm{Density} \mathrm{of} \mathrm{hydrogen} \mathrm{gas}=8.99\times {10}^{-2}\raisebox{1ex}{$\mathrm{kg}$}\!\left/ \!\raisebox{-1ex}{${\mathrm{m}}^3$}\right., \mathrm{atmosphere}= 1.01\times {10}^5\raisebox{1ex}{$\mathrm{N}$}\!\left/ \!\raisebox{-1ex}{${\mathrm{m}}^2$}\right.\right)$

• 3.0atm

• 2.0atm

• 1.5atm

• 1.0atm

22 g of CO₂ at 27⁰ C is mixed with 16 g of O₂ at 37⁰C. If both gases are considered as ideal, then temperature of mixture is

• 30.5⁰C

• 37⁰C

• 27⁰C

• 29.3⁰C

At a given temperature the pressure of an ideal of density p is proportional to

• ${\rho }^2$

• $\rho$

• $\frac{1}{{\mathrm{\rho }}^2}$

• $\frac{1}{\rho }$

A cylinder contains 10kg of gas at pressure of 10⁷ N/m². The quantity of gas taken out of the cylinder, if final pressure is 2.5×10⁶ N/m² will be( temperature of gas is constant)

• 15.2 kg

• 3.7 kg

• zero

• 7.5 kg

The kinetic energy of one molecule of a gas at normal temperature and pressure will be (k = 8.31 J/mole K)

• 1.7×10³ J

• 10.2×10³ J

• 3.4×10³ J

• 6.8×10³ J

A sphere of diameter 0.2 m and mass 2 kg is rolling on an inclined plane with velocity u = 0.5 mls. The kinetic energy of the sphere is

• 0.1 J

• 0.3 J

• 0.5 J

• 0.42 J

Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules?

• increase

• Decrease

• No change

• Can't be determined