Not yet checked 3 of 7 questions have not yet been compared with the official paper.
Part II
Q. 2
(a)Show that the work done by a constant force is equal to the difference of initial and final kinetic energies of the body. [8]
(b)A 25 kg bear slides, from rest, 12 m down a pine tree, moving with a speed of 5.6 m/s just before hitting the ground. [8]
(c)Object A is launched as projectile with initial speed v at an angle θ above the horizontal. Object B has exactly the same initial speed at exactly the same angle as object A but object B is sliding up a frictionless incline as shown in the figure. Object A has mass M and object B has mass 2M. During the subsequent motion, each object will reach a maximum height above the starting location. [figure] [8]
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Q. 3
(a)Derive the expression for the total mechanical energy in simple harmonic motion. Draw and discuss the graphs of Energy versus Time and Energy versus Position. [8]
(b)In the figure shown below, two strings have been tied together with a knot and then stretched between two rigid supports. The strings have linear densities μ₁ = 1.4×10⁻⁴ kg/m and µ₂ = 2.8×10⁻⁴ kg/m. Their lengths are L₁ = 3m and L₂ = 2 m, and string 1 is under a tension of 400 N. Simultaneously, on each string a pulse is sent from the rigid support end, toward the knot. Which pulse reaches the knot first? [figure] [8]
(c)A mass-spring system is oscillating with amplitude A. What will be the displacement at which kinetic energy is equal to the potential energy? [4]
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Q. 4
(a)What is polarization? Discuss polarization by reflection. [8]
(b)Light of wavelength 624 nm is incident perpendicularly on a soap film (n = 1.33) suspended in air. What are the [8]
(c)A maintenance crew is working on a section of a three lane highway, leaving only one lane open to traffic. The result is much slower traffic flow (a traffic jam). Do cars on a highway behave like [4]
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Q. 5
(a)Show that mass and energy are interconvertible. [8]
(b)A spaceship is moving away from the earth at a speed of 0.80c when it fires a missile parallel to the direction of motion of ship. The missile moves at a speed of 0.60c relative to the ship (see figure). What would be the speed of the missile as measured by an observer on the earth? Compare with the prediction of Galilean kinematics. [figure] [8]
(c)If \vec{A} and \vec{B} are nonzero vectors, is it possible for \vec{A} \cdot \vec{B} and |\vec{A} \times \vec{B}| to be zero? Explain. [4]
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Q. 6
(a)Distinguish between Linear and Angular momentum. Derive expression for the angular momentum of a rigid body rotating about a fixed axis. Explain the Law of Conservation of Angular Momentum. [8]
(b)A girl of mass M stands on the rim of a frictionless merry-go-round of radius R and rotational inertia I that is not moving. She throws a rock of mass m horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground, is v. Afterward, what are [8]
(c)A planet is moving at constant speed in a circular orbit around a star. In one complete orbit, what is the net amount of work done on the planet by the star's gravitational force? What if the planet's orbit is an ellipse, so that the speed is not constant? Explain. [4]
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Q. 7
(a)Differentiate between Fermi-Dirac, Bose-Einstein and Maxwell-Boltzmann statistics. [6]
(b)Show that the entropy remains constant in a reversible process but increases in an irreversible one. [6]
(c)When 20.9 J was added as heat to a particular ideal gas, the volume of the gas changed from 50 cm³ to 100 cm³ while the pressure remained at 1 atm. [8]
The 2018 CSS Physics paper set by the FPSC. Question wording only; questions marked “Not yet checked” have not been compared with the official paper yet.
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