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A rod of length 2 m rests on a smooth horizontal floor. If the rod is heated from 0°C to 20°C, find the longitudinal strain developed (α=5×10-5 °C-1).

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Important Questions on Elasticity

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The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
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Copper of fixed volume V is drawn into a wire of length l. When this wire is subjected to a constant force F, the extension produced in the wire is l. Which of the following graph is a straight line?
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The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of 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:
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The bulk modulus of a spherical object is B. If it is subjected to uniform pressure P, the fractional decrease in radius is,
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Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3A. If the length of the first wire is increased by Δl on applying a force F how much force is needed to stretch the second wire by the same amount?

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A string is stretched between two fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is :

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In determining Young’s modulus of elasticity of wire, a force is applied and extension is recorded. Initial length of wire is 1 m. The curve between extension and stress is depicted. Then, Young’s modulus of wire will be,

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Two wires are made of the same material and have the same volume. However, wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by x on applying force F, how much force is needed to stretch wire 2 by the same amount?