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 :
Get Answer
) Young's modulus same for both brass and steel]
given
The bulk modulus of a spherical object is ' '. If it is subjected to uniform pressure ' ', the fractional decrease in radius is
Bulk modulus is given by
or
(here, fractional decreases in radius)
A wire of length , area of cross section is hanging from a fixed support. The length of the wire changes to when mass is suspended from its free end. The expression for Young's modulus is:
Stress .
Strain
Young's modulus,
Given below are two statements: One is labelled as assertion (A) and the other is labelled as Reason (R).
Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring.
Reason (R): A coil spring of copper has more tensile strength than a steel spring of same dimensions.
In the light of the above statements, choose the most appropriate answer from the options given below:
Both and are true and is not the correct explanation of .
(A) is true but (R) is false
(A) is false but (R) is true
Both (A) and (R) are true and (R) is the correct explanation of .
By stretching coil's, shape changes whereas its length of wire remains same. Due to which shear modules of elasticity is involved so assertion is correct. Elasticity of steel is more than that of copper and also has more tensile stress. So reason is false.
Let a wire be suspended from the ceiling (rigid support) and stretched by a weight attached at its free end. The longitudinal stress at any point of cross-sectional area A of the wire is
Zero
Longitudinal stress
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