71. The time period of revolution of a satellite around a planet in a circular orbit of radius R is T. If the radius of the satellite is made 4R then its time period would become:
(a) T
(b)
(c) 4T
(d) 8T
Answer:
(d) 8T
Explanation:
According to Kepler’s Third Law, . When the radius is increased to , the new period squared . Thus, .
72. The speeds of air flow on the upper and lower surfaces of a wing of an aeroplane are and , respectively. If A is the cross-sectional area of the wing and $\rho$ is the density of air, then the upward lift is :
(a)
(b)
(c)
(d)
Answer:
(b)
Explanation:
Using Bernoulli’s principle, the pressure difference creates lift: . Upward force , which factors out algebraically into option (b).
73. A liquid drop of radius R breaks into 64 tiny drops each of radius r. If the surface tension of the liquid is T, then the gain in energy is :
(a)
(b)
(c)
(d)
Answer:
(c)
Explanation:
By conservation of volume, , so . Initial surface area is . Final surface area of 64 drops is . The increase in area is . Gain in surface energy = .
74. The P-V diagram of a system undergoing thermodynamic transformation is shown in figure. The work done by the system in going from is 30 J, and 40 J heat is given to the system. The change in internal energy between A and C is : https://canva.link/bik148drmqm0jtn
(a) 10 J
(b) 70 J
(c) -70 J
(d) Zero
Answer:
(a) 10 J
Explanation:
According to the First Law of Thermodynamics, . The heat added to the system J and work done by the system J. Thus, J.
75. If a cylinder containing a gas at high pressure explodes, the gas undergoes:
(a) irreversible adiabatic change and fall in temperature
(b) reversible adiabatic change and rise in temperature
(c) irreversible adiabatic change and rise in temperature
(d) reversible adiabatic change and fall in temperature
Answer:
(a) irreversible adiabatic change and fall in temperature
Explanation:
An explosion causes an extremely rapid, uncontrolled expansion of gas. Because it happens too fast for heat exchange to occur, it is adiabatic. Because it is highly turbulent and not in equilibrium, it is irreversible. Adiabatic expansion cools the gas.