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3., , Explain, (i), , absolute error, , (ii), , mean absolute error, , (iii), , relative error, , (iv), , percentage error, , (v), , random error, , NUMERICALS, 1., , Determine the number of light years in one metre., , 2., , The sides of a rectangle are (10.5 ± 0.2) cm and (5.2 ± 0.1) cm. Calculate, its perimeter with error limits., , 3., , The mass of a box measured by a grocer’s balance is 2.3 kg. Two gold, pieces 20.15 g and 20.17 g are added to the box., (i), , What is the total mass of the box?, , (ii), , The difference in masses of the pieces to correct significant figures., , 4., , 5.74 g of a substance occupies 1.2 cm3. Express its density to correct, significant figures., , 5., , If displacement of a body s = (200 ± 5) m and time taken by it t = (20 +, 0.2) s, then find the percentage error in the calculation of velocity., , 6., , If the error in measurement of mass of a body be 3% and in the, measurement of velocity be 2%. What will be maximum possible error in, calculation of kinetic energy., , 7., , The length of a rod as measured in an experiment was found to be 2.48m,, 2.46m, 2.49m, 2.50m and 2.48m. Find the average length, absolute error, and percentage error. Express the result with error limit., , 8., , A physical quantity is measured as a = (2.1 ± 0.5) units. Calculate the, percentage error in (i) Q2 (2) 2Q., , 9., , When the planet Jupiter is at a distance of 824.7 million km from the earth,, its angular diameter is measured to be 35.72´´ of arc. Calculate diameter, of Jupiter., , 10., , A lesser light beamed at the moon takes 2.56 and to return after reflection, at the moon’s surface. What will be the radius of lunar orbit., 9, , XI – Physics
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11., , Convert, (i), , 3m . S–2 to km h–2, , (ii), , G = 6.67 × 10–11 N m2 kg–2 to cm3 g–1 S–2, , 12., , A calorie is a unit of heat or energy and it equals 4.2 J where IJ = 1kg, m2S–2. Suppose we employ a system of units in which unit of mass is , kg, unit of length is m, unit of time is s. What will be magnitude of, calorie in terms of this new system., , 13., , The escape velocity v of a body depends on–, (i), , the acceleration due to gravity ‘g’ of the planet,, , (ii), , the radius R of the planet. Establish dimensionally the relation for, the escape velocity., , 14., , The frequency of vibration of a string depends of on, (i) tension in the, string (ii) mass per unit length of string, (iii) vibrating length of the string., Establish dimensionally the relation for frequency., , 15., , One mole of an ideal gas at STP occupies 22.4 L. What is the ratio of, molar volume to atomic volume of a mole of hydrogen? Why is the ratio, so large. Take radius of hydrogen molecule to be 1°A., , VERY SHORT ANSWER (1 MARK), 3., , 1 parsec = 3.26 light year, , 4., , Size of atom = 10–10 m (b) size of galaxy = 1022 m, Order = – 10, Order of magnitude = 22., , 5., , 1u = 1.66 × 10–27 kg, , 6., , Work, energy and torque., , 7., , Stress, pressure, modulus of elasticity., , 8., , Strain, refractive index., , 9., , (i) 1, (ii) 3, (iii) 4, (iv) 4, (v) 3, (vi) 5 since it comes from a measurement, the last two zeros become significant., , 10., , 2%, , XI – Physics, , 10
