EASY
JEE Main
IMPORTANT
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Assertion: If length of a wire is halved, its Young's modulus of elasticity will become two times.

Reason: The ratio of longitudinal stress and longitudinal strain is called Young's modulus of elasticity.

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Important Questions on Elasticity

EASY
JEE Main
IMPORTANT

Assertion: Stress and modulus of elasticity have the same dimensions.

Reason: Strain is dimensionless.

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JEE Main
IMPORTANT

Assertion: If radius of cylindrical wire is doubled, then this wire can bear four times stress.

Reason: By doubling the radius, the area of cross-section will become four times.

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JEE Main
IMPORTANT

Assertion: Bulk modulus of an incompressible fluid is infinite.

Reason: Density of incompressible fluid remains constant.

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JEE Main
IMPORTANT

Assertion: If value of Young's modulus of elasticity of a material is less, then it means material is ductile.

Reason: If a material is easily stretchable, then its value of Young's modulus of elasticity should be less.

EASY
JEE Main
IMPORTANT

Assertion: Modulus of elasticity does depend upon the dimensions of material.

Reason: Modulus of elasticity is a material property.

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JEE Main
IMPORTANT

Assertion: Up to the elastic limit, strain stress.

Reason: Up to the elastic limit material returns to its original shape and size, when the external force is removed.

EASY
JEE Main
IMPORTANT
One end of a horizontal thick copper wire of length 2 L and radius 2 R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is
MEDIUM
JEE Main
IMPORTANT
The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100°C is (For steel, Young's modulus is 2×1011 N m-2 and coefficient of thermal expansion is 1.1×10-5 K-1)