HSSC-II (12th Class) Physics Unit-16: Physics of Solids: Numerical Problems List (New Book/KPK Text Board, Peshawar) With Verified Answers

1: 1.50 cm length of pianos wire with a diameter of 0.25 cm is stretched by attaching a 10kg mass to one end. How far is the wire stretched? Answer (1.5 x 10-4m) 

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2: A cylindrical steel rod 0.50 m long and 1 cm in radius is subjected to a tensile force of 1 ｘ 10⁴ N. (a) What is the tensile stress? (b) What is tensile strain? (c) By what amount does the rod stretch? Answer ((a) 0.31 ｘ 10⁸ N m⁻² (b) 1.6 ｘ 10⁻⁴ (c) 0.8 ｘ 10⁻⁴ m) 

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3: A cable has an un-stretched length of 12 m and it stretches by 1.2 ｘ 10⁻⁴ m when a stress of 6.4 ｘ 10⁸ Nm⁻² is applied. What is the strain energy per unit volume in the cable when this stress is applied? Answer(3.2 ｘ 10³  Jm⁻³) (Click for verified Solution)

4: Young's Modulus for a particular wood is 1 ｘ 10¹⁰ N m⁻².  A wooden chair has four legs each of length 42 cm and cross sectional area 2ｘ10³ m. Hamza has a mass of 100 kg. (a) What is the stress on each leg of the chair when Hamza stands on the chair? (b) By what amount do the chair legs shrink when Hamza stands on the chair? Answer ((a) 5ｘ10⁵ Nm⁻², (b) 2.1ｘ10⁻⁵m)

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5: A force of 1.5ｘ10⁴ N causes a strain of 1.4ｘ10⁻⁴ in a steel cable of cross-sectional area 4.8ｘ10⁴ m². 

(a) What is the Young's Modulus of the steel cable? 

(b) The stress strain graph is linear for this cable. Calculate the strain energy per unit volume stored in the cable when the cable has a strain of 1ｘ10⁻⁴.  Answer((a) 2.2ｘ10¹¹ N m⁻², (b) 1.5 ｘ 10³  Jm⁻³)

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