NCERT Solutions for class 11 Physics | Chapter 9 - Mechanical Properties of Solids

(1) Two wires have the same material and length, but their masses are in the ration of 4 : 3. If they are stretched by the same force, their elongations will be in the ratio of
[A] 2 : 3
[B] 3 : 4
[C] 4 : 3
[D] 9 : 16
Answer: 3 : 4
(2) Hookes law essentially defines
[A] Stress
[B] Strain
[C] Yield point
[D] Elastic limit
Answer: Elastic limit

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(3) A rubber cord of cross sectional area 1 mm² and unstretched length 10 cm is stretched to 12 cm and then released to project a stone of mass 5 gram. If Y for rubber = 5 ? 108N/m², then the tension in the rubber cord is
[A] 25 N
[B] 50 N
[C] 100 N
[D] 200 N
Answer: 100 N
(4) An iron bar of length l m and cross section A m² is pulled by a force of F Newton from both ends so as to produce and elongation in meters. Which of the following statement statements is correct
[A] Elongation is inversely proportional to length l
[B] Elongation is directly proportional to cross section A
[C] Elongation is inversely proportional to A
[D] Elongation is directly proportional to Youngs modulus
Answer: Elongation is inversely proportional to A
(5) Longitudinal strain is possible in the case of
[A] Gases
[B] Liquid
[C] Only solids
[D] Only gases & liquids
Answer: Only solids
(6) Out of the following materials, whose elasticity is independent of temperature?
[A] Copper
[B] Invar steel
[C] Brass
[D] Silver
Answer: Invar steel
(7) A body of mass 1 kg is attached to one end of a wire and rotated in horizontal circle of diameter 40 cm with a constant speed of 2 m/s. what is the area of cross-section of the wire if the stress developed in the wire is 5 × 106 N/m²?
[A] 2 mm²
[B] 3 mm²
[C] 4 mm²
[D] 5 mm²
Answer: 4 mm²
(8) In a wire, when elongation is 2 cm energy stored is E. if it is stretched by 10 cm, then the energy stored will be
[A] E
[B] 2 E
[C] 4 E
[D] 25 E
Answer: 25 E
(9) The ratio of the change in dimension at right angles to the applied force to the initial dimension is known as
[A] Youngs modulus
[B] Poissons ratio
[C] Lateral strain
[D] Shearing strain
Answer: Lateral strain
(10) When the intermolecular distance increases due to tensile force, then
[A] There is no force between the molecules
[B] There is a repulsive force between the molecules
[C] There is an attractive force between the molecules
[D] There is zero resultant force between the molecules
Answer: There is an attractive force between the molecules
(11) One end of a steel wire of area of cross-section 3 mm² is attached to the ceiling of an elevator moving up with an acceleration of 2.2 m/s². if a load of 8 kg is attached at its free end, then the stress developed in the wire will be
[A] 8 × 106 N/m²
[B] 16 × 106 N/m²
[C] 20 × 106 N/m²
[D] 32 × 106 N/m²
Answer: 32 × 106 N/m²
(12) The magnitude of the force developed by raising the temperature from 0°C to 100°C of the iron bar of 1.00 m long and 1 cm² cross-section when it is held so that it is not permitted to expand or bend is (a = 10-5/oC and Y = 1011 N/m²)
[A] 103 N
[B] 104 N
[C] 105
[D] 109 N
Answer: 104 N
(13) The radii of two wires of a same material are in ratio 2 : 1. if the wires are stretched by equal forces, the stress produced in them will be
[A] 2 : 1
[B] 4 : 1
[C] 1 : 4
[D] 1 : 2
Answer: 1 : 4
(14) In a wire, when elongation is 2 cm energy stored is E. if it is stretched by 10 cm, then the energy stored will be
[A] E
[B] 2 E
[C] 4 E
[D] 25 E
Answer: 25 E
(15) A body of mass 1 kg is attached to one end of a wire and rotated in horizontal circle of diameter 40 cm with a constant speed of 2 m/s. what is the area of cross-section of the wire if the stress developed in the wire is 5 × 106 N/m²?
[A] 2 mm²
[B] 3 mm²
[C] 4 mm²
[D] 5 mm²
Answer: 4 mm²
(16) A rubber cord of cross sectional area 1 mm² and unstretched length 10 cm is stretched to 12 cm and then released to project a stone of mass 5 gram. If Y for rubber = 5 ? 108N/m², then the tension in the rubber cord is
[A] 25 N
[B] 50 N
[C] 100 N
[D] 200 N
Answer: 100 N
(17) The upper end of wire 1 m long and 2 mm radius is clamped. The lower end is twisted through an angle of 45°. The angle of shear is
[A] 0.09°
[B] 0.9°
[C] 9°
[D] 90°
Answer: 0.09°
(18) The ratio of the change in dimension at right angles to the applied force to the initial dimension is known as
[A] Youngs modulus
[B] Poissons ratio
[C] Lateral strain
[D] Shearing strain
Answer: Lateral strain
(19) Four wires whose lengths and diameter respectively are given below are made of the same material. Which of these will have the largest extension when same tension is applied?
[A] 0.50 m, 0.50 mm
[B] 1.00 mm, 1.00 mm
[C] 2.00 m, 2.00 mm
[D] 4.00 m, 4.00 mm
Answer: 0.50 m, 0.50 mm
(20) Two wires A and B are of the same length. The diameters are in the ratio 1 : 2 and the Youngs modulus are in ratio 2 : 1. if they are pulled by the same force, then their elongations will be in ratio
[A] 4 : 1
[B] 1 : 4
[C] 1 : 2
[D] 2 : 1
Answer: 2 : 1

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