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Old Exam. Questions Ch. –1 (Dr. Gondal –Phys.101)

T091: Q1 Consider a cube of iron of mass 8.0 kg and side 4.0 inches. What is its density in kg/m3? (1 inch = 2.54 cm) 7.6×103

Q2: Consider the following physical relation: M = C(arb, where M is mass, ρ is density, r is distance and a and b are exponents. C is a dimensionless constant. What are the values of a and b so that the equation is dimensionally correct? a = 1 and b = 3

T082: Q1. Iron has a density of 7.87 g/cm3. What is the mass of an iron block having a volume of 2 in3 ? (1 in = 2.54 cm) (Ans: 0.26 kg)

Q2.: The speed of sound v in a fluid depends upon the fluid density ρ and its bulk modulus B as follows: v = ρn Bm. Using dimensional analysis, find the values of constants n and m, respectively. The unit of density ρ is kg/m3 and that of bulk modulus B is kg / (m.s2) (Ans: -1/2, +1/2)

T081Q1.What is the height of a 2.913 kg solid gold cylinder whose radius is 2 cm? The density of gold is 19.32 g/cm3. (Ans: 12 cm)

Q2 : What is the dimension of the constant G in the equation: F=Gm1m2/r2 where F is force, m1 and m2 are masses and r is the distance between the two masses. (Ans: L3M-1T-2)

T072: Q1.: The position y of a particle moving along the y axis depends on the time t according to the equation [pic]. The dimensions of the quantities A and B are respectively: (Ans: L/T, L/T2)

T071: Q1.: A swimming pool is filled with 16,500 ft3of water. What is the volume of water in m3? (12 inch = 1 ft and 2.54 cm = 1 inch). (Ans: 467 m3)

Q2.: The position x of a particle is given by [pic], where x is in meters and t is in seconds. The dimension of C is: ( Ans: [pic])

T062: Q1: From the fact that the average density of the Earth is 5.50 g/cm3 and its mean radius is 6.37 ×106 m, the mass of the Earth is: (Ans: 5.95 × 1024 kg )

Q2: Suppose A=Bn/C m where A has dimensions LT, B has dimensions L2T−1, and C has dimensions LT2. Then the exponents n and m have the values: (Ans: n = 1/5 ; m = −3/5 )

T061 Q#1:...