Not yet checked 2 of 7 questions have not yet been compared with the official paper.
Part II
Q. 2
(a)Define a Scalar field, obtain an expression for the Gradient of a Scalar field. Why the gradient of a Scalar field is Vector? [11]
(b)Given ϕ(x,y,z)=x2yz3 , find grad ϕ at (1,2,1). [5]
(c)For what values of 'a', the vector A=2i+aj+k and B=4i−2j−2k are perpendicular. [4]
Not yet checked
(11)
Q. 3
(a)Distinguish between Linear and Angular Momentum. Explain the law of Conservation of Angular Momentum. Prove that the Angular momentum is constant in the absence of external torque. [14]
(b)The angular momentum J of a particle is given as J = 8 t 4 i ^ − 2 t 2 j ^ + 12 t 3 k ^ J=8t^4 \hat{i} - 2t^2\hat{j} + 12t^3\hat{k} J = 8 t 4 i ^ − 2 t 2 j ^ + 12 t 3 k ^ . Find the torque at t=1 . [6]
Not yet checked
(14)
Q. 4
(a)Discuss in detail the relativity of mass, time and length. [11]
(b)What is time dilation? Explain with example. [4]
(c)When we say that a clock in moving frame runs slower than a clock in a stationary frame. What does it mean? [5]
(20)
Q. 5
(a)Differentiate between Streamline and turbulent motion of a liquid. [3]
(b)What is "Coefficient of viscosity"? Explain in detail the Stoke's law applicable in determining the coefficient of viscosity of a Viscous liquid experimentally. [14]
(c)Why do automanufacturers recommend using different viscosities of Engine oil in cold and hot climate. [3]
(20)
Q. 6
(a)What is Polarization of light? Explain Polarization by reflection and obtain Brewster Law. Also explain the idea of double refraction. [13]
(b)We wish to use a Quartz sheet (n=1.54) in air as polarizer. Find the polarizing angle and angle of refraction. [5]
(c)Why can't we polarize sound waves? [2]
(20)
Q. 7
(a)Define Internal energy. State and explain First and Third laws of thermodynamics. [14]
(b)What is a heat engine? Determine the efficiency of the engine if it takes 10,000 J of heat and delivers 2000 J of work per cycle. [6]
The 2010 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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