The lower edge of a square slab of side 50 cm and thickness 20 cm

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 Multiple Choice QuestionsMultiple Choice Questions

11.

One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively IA and IB such that


Where dA and dB are their densities.

  • IA = IB

  • IA > IB

  • IA < IB

  • IA < IB

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12.

What would be the work done in stretching a wire.

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    13.

    A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7 x 103 kg/mand its Young’s modulus is 9.27 x 1010 Pa. What will be the fundamental frequency of the longitudinal vibrations?

    • 7.5 kHz

    • 5 kHz

    • 2.5 kHz

    • 10 kHz


    14.

    The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:

    • 6%

    • 2.5%

    • 3.5%

    • 4.5%


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    15.

    A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of the area a floats on the surface of the liquid, covering an entire cross section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere, (dr/r), is

    • mg/Ka

    • Ka/mg

    • Ka/3mg

    • mg/3Ka


    16.

    Which of the following statement related to stress-strain relation is correct ?

    • Stress is linearly proportional to strain irrespective of the magnitude of the strain

    • Stress is linearly proportional to strain above

    • Stress is linearly proportional to strain for stress much smaller than at the yield point

    • Stress-strain curve is same for all materials


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    17.

    The lower edge of a square slab of side 50 cm and thickness 20 cm is rigidly fixed to the base of a table. A tangential force of 30 N is applied to the slab. If the shear moduli of the material is 4 x 1010 N/m2, then displacement of the upper edge, in meters is

    • 4 × 10-12

    • 4 × 10-10

    • 6 × 10-10

    • 6 × 10-12


    C.

    6 × 10-10

    Shear strain, ε = tan θ = θ = xl                     η = σεor                  x = F . lA . ηGiven, F = 30 N            A= 50 × 50 × 10-4            η = 4 × 1010                 = 30 × 20 × 10-250 × 50 × 10-4 × 4 × 1010               = -624 × 4 × 10-4 × 1010               = 6 × 10-10 m


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    18.

    Two wires A and B of same material and of equal length with the radii in the ratio 1 : 2 are subjected to identical loads. If the lengthof A increases by 8 mm, then the  increase in length of B is

    • 2 mm

    • 4 mm

    • 8 mm

    • 16 mm


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    19.

    The ratio of hydraulic stress to the corresponding strain is known as

    • Compressibility

    • Bulk modulus

    • Young's modulus

    • Rigidity modulus


    20.

    A ball falling in a lake of depth 400 m has a decrease of 0.2% in its volume at the bottom. The bulk modulus of the material of the ball is (in Nm-2)

    • 9.8 × 109

    • 9.8 × 1010

    • 1.96 × 109

    • 9.8 × 1011


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