In the given figure, if the dimensions of the two wires are the same but materials are different, then Young's modulus is

The substances having very short plastic region are

Due to the addition of impurities, the modulus of elasticity:

A load of 2 kg produces an extension of 1 mm in a wire of 3 m in length and 1 mm in diameter. The Young's Modulus of wire will be

The value of Young's Modulus for a perfectly rigid body is

A spherical ball contracts in a volume by 0.01% when subjected to a normal uniform pressure of 100 atm. The Bulk modulus of its material is

A metallic rod of length l and cross-sectional area A is made of a material of Young's Modulus Y. If the rod is elongated by an amout y, then the work done is proportional to

If the Bulk Modulus of lead is $8.0\times {10}^9 \mathrm{N}/{\mathrm{m}}^2$ and the initial density of the lead is 11.4 g/cc, then under the pressure of $2.0\times {10}^8 \mathrm{N}/{\mathrm{m}}^2$, the density of the lead is

For a given material, the Young's Modulus is 2.4 times its modulus of rigidity. Its Poisson's ratio is

When the temperature of a gas is constant at $20°\mathrm{C}$ and pressure is changed from ${\mathrm{P}}_1=1.01\times {10}^5 \mathrm{Pa}$ to ${\mathrm{P}}_2=1.165\times {10}^5 \mathrm{Pa}$, then the volume changes by 10%. The Bulk modulus of the gas is

When a rubber ball is taken to the bottom of a sea of depth 1400 m, its volume decreases by 2%. The Bulk Modulus of rubber ball is [density of water is 1 g cc and $\mathrm{g}=10 \mathrm{m}/{\mathrm{s}}^2$]

A spherical ball contracts in volume by 0.02%, when subjected to a normal uniform pressure of 50 atmosphere. The Bulk Modulus of its material is

For an elastic material

Correct pair is

The breaking stress of aluminium is $7.5\times {10}^7 {\mathrm{Nm}}^{-2}$. The greatest length of aluminium wire that can hang vertically without breaking is
(Density of aluminium is $2.7\times {10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$)

A wire is 2 m in length suspended vertically stretches by 10 mm when mass of 10 kg is attached to the lower end. The elastic potential energy gain by the wire is (take $\mathrm{g}=10 \mathrm{m}/{\mathrm{s}}^2$)

A wire of length L and cross-sectional area A is made of material of Young's Modulus Y. The work done in stretching the wire by an amount x is

Two exactly similar wires of steel and copper are stretched by equal forces. If the total elongation is 2 cm, then how much is the elongation in steel and copper wire respectively? Given, ${\mathrm{Y}}_{\mathrm{steel}}=20\times {10}^{11} \mathrm{dyne}/{\mathrm{cm}}^2, {\mathrm{Y}}_{\mathrm{copper}}=12\times {10}^{11} \mathrm{dyne}/{\mathrm{cm}}^2.$

The proportional limit of steel is $8\times {10}^8 \mathrm{N}/{\mathrm{m}}^2$ and its Young's Modulus is $2\times {10}^{11} \mathrm{N}/{\mathrm{m}}^2$. The maximum elongation, a one metre long steel wire can be given without exceeding the proportional limit is

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

If in case A, elongation in wire of length L is l, then for same wire, elongation in case B will be-

Energy stored per unit volume in a stretched wire having Young's Modulus Y and stress 'S' is

A wire suspended vertically from one end and is stretched by attaching a weight 200 N to the lower end. The weight stretches the wire by 1 mm. The elastic potential energy gained by the wire is

Work done by restoring force in a wire within elastic limit is -10 J. Maximum amount of heat produced in the wire is

The work done per unit volume to stretch the length of area of cross-section 2 mm² by 2% will be
$\left[\mathrm{Y}=8\times {10}^{10} \mathrm{N}/{\mathrm{m}}^2\right]$

On stretching some substances, why is permanent elongation caused?

On withdrawing the external applied force on bodies within the elastic limit, the body:

On abruptly withdrawing the stretching force acting on a wire, its temperature will:

The modulus of elasticity of a material does not depend upon:

What is the effect of temperature on the value of Young's modulus of elasticity for various substances, in general?