List of Solved Numerical Problems of Unit-1: Measurements HSSC-I (class 11) Physics (Baluchistan Textbook Board, Quetta) With Verified Answers

Numerical Problems 1: How much distance is covered by light in one year when its speed in space is 3 ｘ 10⁸ m s⁻¹. Ans. (9.5 x 10¹⁵m) 

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Numerical Problems 2: Mass of neutron is 1.67 x 10⁻²⁷ kg. Calculate the number of neutrons in a piece of metal whose net mass is one gram. Ans. (5.99 x 10²³ Neutrons)

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Numerical Problems 3: Prove that nano seconds in one second is more than the number of seconds in one year. 

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Numerical Problems 4: Convert the following (a) 20 m s⁻¹ into km h⁻¹. (b) 3 x 10⁸ m s⁻¹ into km h⁻¹ (c) 220 km h⁻¹ into m s⁻¹ 

Ans. [(a) 72 kmh. (b) 1.08 x 10¹⁰ km h⁻¹ (c) 61 m s⁻¹]

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Numerical Problems 5: (a) Express the following values in terms of prefixes.

(I) 0.62 x 10⁴ g (II) 2 x 10⁷ m. (III) 4 x 10⁵ s

(b) Express the following values in terms of scientific notation,
(I) 0.000036. (II) 140000, (III) 107000000

Ans. [(a) (I) 6.2 kg. (11) 20 Mm. (111) 40 μs]
[(b) (I) 3.6x10⁻⁵ (II) 1.4x10⁵ (III) 1.07 x 10⁸ ]

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Numerical Problems 6: The radius of a rod is 0.24 cm. Find its cross sectional area with appropriate significant figures. Ans. (0.18 cm²) 

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Numerical Problems 7: How many significant figures are there in the given values?

(a) 32,900, (b) 2003, (c)2.0, (d) 0.0007, (e) 2.73 x 10⁶

(a) 5. (b) 4. (c) 2. (d) 1. (e) 3 

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Numerical Problems 8: Add the given values 12, 13.5, 15.432. Give the answer to correct significant figures. Ans. (41)

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Numerical Problems 9: Verify that the given equation S = vᵢt + `\frac {1}{2}` at² is dimensionally correct.

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Numerical Problems 10: The centripetal force 'F' acting on a particle (moving uniformly in a circle depends on the mass 'm' of the particle, its velocity and radius of the circle. Derive dimensionally the formula for the centripetal force 'F'. 

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