HARD
11th West Bengal Board
IMPORTANT
Earn 100

The average depth of Indian Ocean is about 3000 m. Calculate the fractional compression, ΔVV of water at the bottom of the ocean. Given that the bulk modulus of water is 2.2×109Nm

Important Questions on Elasticity

HARD
11th West Bengal Board
IMPORTANT
A wire of circular cross-section is stretched by a longitudinai force and its change in length is found be 0.01%. If the Poisson's ratio for the material is 0.2, what is the percentage of change in volume?
HARD
11th West Bengal Board
IMPORTANT
A sphere of weight 10 N is fastened to one end of a wire of cross-sectional area 3 mm2 and is rotated in a vertical circle of radius 20 cm. The speed of the sphere at the bottom of the circle is 2 ms-1. Find the elongation of the wire when the sphere is at the bottom of the circle. Y for the wire =2×1011Nm-2.
MEDIUM
11th West Bengal Board
IMPORTANT
Three weightless springs of equal length l, have force constant K1, K2 and K3 respectively and are connected as shown in figure. Show that the force constant K of the spring system is given by, K=K1+K2+K3

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MEDIUM
11th West Bengal Board
IMPORTANT
Two masses of 1 kg and 2 kg are connected by a metallic wire passing over a smooth pulley in Fig. The breaking stress of the metal =2×109Nm-2 . What should be the minimum radius of the wire used if it does not snap ? g=10 m/s2.

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HARD
11th West Bengal Board
IMPORTANT
A wire of length 200 cm and diameter 1.22 mm is stretched between two rigid supports. When a load is suspended from the middle point of the wire, the point sags through 2 cm. What is the value of the load? Y for the material of the wire =12.3×1011 dyne cm-2.
MEDIUM
11th West Bengal Board
IMPORTANT
Show that if a wire of length L and cross-sectional area A is subjected to a given stress S within elastic limit, its potential energy per unit volume increases by S22Y. [Y= Young's modulus].
HARD
11th West Bengal Board
IMPORTANT
A wire of length 1 Metre when stretched by a load of 10 kg Increases in length by 0.1 cm. The cross-section of the wire is 0.1 cm2. Calculate Young's modulus of the material. If the Poisson's be 13, calculate the change in volume of the wire.
HARD
11th West Bengal Board
IMPORTANT
A wire loaded by weights of density 9 gcm-3 is stretched to a length of 98 cm. On immersing the weights in water, the length shortens by 2.5 mm. Find the original length of the wire.