Elastic Moduli

IMPORTANT

Elastic Moduli: Overview

This topic covers concepts, such as, Young's Modulus of Elasticity 'Y', Bulk Modulus of Elasticity 'B', Unit and Dimension of Poisson's Ratio & Significance of Poisson's Ratio etc.

Important Questions on Elastic Moduli

MEDIUM
IMPORTANT

A student performs an experiment to determine the Young’s modulus of a wire, exactly 2 m long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ±0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ± 0.01 mm. Take g=9.8 m s2 (exact). The Young’s modulus obtained from the reading is

EASY
IMPORTANT

A steel wire of cross-sectional area 3×10-6 m2 can withstand a maximum strain of 10-3. Young's modulus of steel is 2×1011 N m-2. The maximum mass this wire can hold is,

EASY
IMPORTANT

A copper and a steel wire of same diameter are connected end to end. A deforming force F is applied to this composite wire which causes a total elongation of 1 cm. The two wires will have:

EASY
IMPORTANT

Lateral strain produced in a wire depends on:

EASY
IMPORTANT

Lateral strain is produced in a wire lying on a table, when a force is applied on its one end, perpendicular to its area of cross-section.

EASY
IMPORTANT

Which one of the following is true about Bulk Modulus of elasticity?
 

EASY
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What is bulk modulus and its unit?

EASY
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 The SI units of bulk modulus of elasticity will be Pascal (Pa) or Newton per square metre (N/m^2).

EASY
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Young's modulus of a material  has the same unit as

EASY
IMPORTANT

The dimensional formula of Young's modulus is MxL-1T-2. The value of x is _____.

EASY
IMPORTANT

The Bulk modulus K of a material having young's modulus E =200 GPa  and modulus of rigidity G=80 GPa.

EASY
IMPORTANT

What would be the value of Bulk modulus for a material which has young's modulus 1.2×105 N mm-2 and modulus of rigidity  4.8×104 N mm-2 ?  ( in 104 N mm-2)

EASY
IMPORTANT

The bulk modulus for an incompressible liquid is _____.

EASY
IMPORTANT

The bulk modulus for an incompressible liquid is infinite.

EASY
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The ratio of shearing stress to the corresponding shearing strain is called the modulus of _____.

EASY
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The dimensional formula of modulus of rigidity is ML-1T-2.

EASY
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State the units and dimensions of modulus of rigidity. 

EASY
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The dimensional formula of modulus of rigidity is

EASY
IMPORTANT

What is the dimensional formula for the Poisson's ratio?

EASY
IMPORTANT

The dimensions of Poisson's Ratio is-