Elasticity
Test1                                                                        Max. Marks = 40
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1. The ratio of the lengths of two wires A and B of same material is 1 : 2 and the ratio of their diameter is 2 : 1. They are stretched by the same force, then the ratio of increase in length will be

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2. A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to

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3. Two wires of copper having the length in the ratio 4 : 1 and their radii ratio as 1 : 4 are stretched by the same force. The ratio of longitudinal strain in the two will be

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4. 

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5. The pressure of a medium is changed from 1.01 x 10 Pa to 1.165 x10 Pa and change in volume is 10% keeping temperature constant. The Bulk modulus of the medium is

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6.The Young's modulus of the material of a wire is  6 x 10¹² N / m² and  there is no transverse strain in it, then its modulus of rigidity will be

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7. The length of a rod is 20 cm and area of cross-section 2 cm². The Young's modulus of the material of wire is 1.4 x 1011 N / m². If the rod is compressed by 5 kg-wt along its length, then increase in the energy of the rod in joules will be

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8.  A wire of length 50 cm and cross sectional area of 1 sq. mm is extended by 1 mm. The required work will be (Y = 2 x 1010 N m⁻²)                                                              

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9. The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If  and  are the Young ‘s modulii of the materials, then

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10.The diagram shows the change x in the length of a thin uniform wire caused by the application of stress F at two different temperatures T and T. The variations shown suggest that

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