NEET Physics Mechanical Properties of solids Online Test Set A

1. A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is

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4. The Young’s modulus of brass and steel are respectively 10¹⁰ N/m². and 2 × 10¹⁰ N/m². A brass wire and a steel wire of the same length are extended by 1 mm under the same force, the radii of brass and steel wires are R_B and R_S respectively. Then

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6. A square frame of ABCD consisting of five steel bars of cross-section area 400 mm² and joined by pivot is subjected to action of two forces P = 40 kN in the direction of the diagonal as shown. Find change in angle at A if Young’s modulus Y = 2 × 10⁵ N/min.

7. A massless rod of length L is hanging from a horizontal ceiling with help of two wires, of equal length and diameter, attached to the ends of the rod. The Young's modulus of the first wire is Y and the second wire is 1.2Y. A mass M is attached to the rod at a distance X from the first wire. If the stretching of the two wires is equal then X/L is

8. A uniformly tapering conical wire is made from a material of Young's modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values R and 3R, respectively. The upper end of the wire is fixed to a rigid support and a mass M is suspended from its lower end. The equilibrium extended length, of this wire, would equal :

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11. A uniform wire (Young’s modulus 2 × 10¹¹ Nm^–2) is subjected to longitudinal tensile stress of 5 × 10⁷ Nm^–2. If the overall volume change in the wire is 0.02%, the fractional decrease in the radius of the wire is close to

12. A copper wire of length 1.0 m and a steel wire of length 0.5 m having equal cross-sectional areas are joined end to end. The composite wire is stretched by a certain load which stretches the copper wire by 1 mm. If the Young’s modulii of copper and steel are respectively 1.0 × 10¹¹ Nm^–2 and 2.0 × 10¹¹ Nm^–2, the total extension of the composite wire is

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14. If the ratio of lengths, radii and Young’s modulus of steel and brass wires shown in the figure are a, b, and c, respectively. The ratio between the increase in lengths of brass and steel wires would be

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16. A body of mass 10 kg is attached to a wire of radius 3 cm. It’s breaking stress is 4.8 × 10⁷ Nm^–2, the area of crosssectionof the wire is 10^–6 m². What is the maximum angular velocity with which it can be rotated in the horizontal circle ?

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18. The fractional change in volume of a glass slab when subjected to a hydraulic pressure of 10 atm is: [Bulk modulus of glass = 37 × 10⁹ N/m²]

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20. Assertion: Solids are least compressible and gases are most compressible.
Reason: solids have definite shape and volume but gasesdo not have either definite shape or definite volume.

21. An iron rod of length 2m and cross-sectional area of 50 mm² stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Young’s modulus of iron rod is

22. The bulk modulus of a spherical object is 'B'. If it is subjected to uniform pressure 'p', the fractional decrease in radius is

23. Stress vs strain curve for the elastic tissue of the aorta, the large tube (vessel) carrying blood from the heart, will be : [stress is proportional to square of the strain for the elastic tissue of the aorta]

24. The Young's modulus of steel is twice that of brass. Twowires of same length and of same area of cross section, oneof steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of :

25. A wire is stretched by 1 kg wt. If the radius of the wire is doubled, its Young's modulus will be

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27. Consider two cylindrical rods of identical dimensions, oneof rubber and the other of steel. Both the rods are fixed rigidly at one end to the roof. A mass M is attached to each of the free ends at the centre of the rods.

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29. A mild steel wire of length 2L and cross-sectional area A is stretched, well within elastic limit, horizontally between two pillars (figure ). A mass m is suspended from the mid-point of the wire. Strain in the wire is

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31. A spring is stretched by applying a load to its free end. The strain produced in the spring is

32. The temperature of a wire is doubled. The Young's modulus of elasticity

33. The maximum load a wire can with stand without breaking, when its length is reduced to half of its original length, will

34. Modulus of rigidity of ideal liquids is