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Two wires of equal length and cross-section area suspended as shown in the figure. Their Young's modulus are Y1 and Y2 respectively. The equivalent Young's modulus will be

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Important Questions on Elasticity

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The load versus elongation graph for four wires of the same materials is shown in the figure. The thinnest wire is represented by the line:

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A solid cylinder of radius r and length l is clamped at its upper end and the lower end is twisted through θ. The shear strain is given by.
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If work done in stretching a wire by 1 mm is 2 J, the work necessary for stretching another wire of the same material, but with double the radius and half the length by 1 mm in joule is
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A force F is needed to break a copper wire having radius R. The force needed to break a copper wire of radius 2R will be:
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A 50 kg motor rests on four cylindrical rubber blocks. Each block has a height of 4 cm and a cross-sectional area of 16 cm2. The shear modulus of rubber is 2 × 106 N m-2. A sideways force of 500 N is applied to the motor. The distance that the motor moves sideways is
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A brass rod of length 2 m and cross-sectional area 2.0 cm2 is attached end to end to a steel rod of length L and cross-sectional area 1.0 cm2 . The compound rod is subjected to equal and opposite pulls of magnitude 5×104 N at its ends. lf the elongations of the two rods are equal, then the length of steel rod L is YBrass=1.0×1011 N m-2 and YSteel=2.0×1011 N m-2
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The compressibility of water is 46.4 × 106 atm-1. This means that
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If the ratio of lengths, radii and Young’s moduli of steel and brass wires in the figure are a, b and c respectively. Then the corresponding ratio of increase in their lengths would be:

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