$A$ substance breaks down by a stress of $10^6 \ N/m^2$. If the density of the material of the wire is $3 \times 10^3 \ kg/m^3$,then the length of the wire of the substance which will break under its own weight when suspended vertically,is ......... $m$.
- A$66.6$
- B$60$
- C$33.3$
- D$30$
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In a series combination of copper and steel wires of same length and same diameter,a force is applied at one of their ends while the other end is kept fixed. The combined length is increased by $2 \ cm$. The wires will have ..........
Easy
View Solution$A$ uniform wire (Young's modulus $2 \times 10^{11} \, Nm^{-2}$) is subjected to a longitudinal tensile stress of $5 \times 10^7 \, Nm^{-2}$. If the overall volume change in the wire is $0.02\%$,the fractional decrease in the radius of the wire is close to:
The maximum possible height of a mountain on Earth is approximately (elastic limit of mountain rock $= 30 \times 10^7 \ N m^{-2}$,average density of mountain rock $= 3 \times 10^3 \ kg m^{-3}$,$g = 10 \ m s^{-2}$). (in $km$)
Match the following:
Column-$I$ Column-$II$ $(A)$ Shear modulus $(I)$ Resistance to change in volume $(B)$ Shearing stress $(II)$ Proportionality constant $(C)$ Elastic fatigue $(III)$ Tangential stress $(D)$ Modulus of elasticity $(IV)$ Temporary loss of elastic property $(V)$ Resistance to change against deformation force
The correct match is:
| Column-$I$ | Column-$II$ |
|---|---|
| $(A)$ Shear modulus | $(I)$ Resistance to change in volume |
| $(B)$ Shearing stress | $(II)$ Proportionality constant |
| $(C)$ Elastic fatigue | $(III)$ Tangential stress |
| $(D)$ Modulus of elasticity | $(IV)$ Temporary loss of elastic property |
| $(V)$ Resistance to change against deformation force |
The correct match is:
What are the factors on which the modulus of elasticity depends?
Medium
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