List of top Physics Questions on elastic moduli

Young's moduli of the material of wires A and B are in the ratio of 1:4, while its area of cross sections are in the ratio of 1:3. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will be in the ratio of (Assume length of wires A and B are same)

For most of the materials, Young’s modulus (Y) and rigidity modulus (G) are related as

Young's modulus and shear modulus can be defined only in

One end of a nylon rope of length $ 1 $ and diameter $ 10 \, \text{mm} $ is fixed to free limb. A monkey weighing $ 100 \, \text{N} $ jumps to catch the free end and stays there. The change in diameter of the rope is (Young's modulus of the wire is $ Y $ and Poisson Ratio is $ \sigma $)

The stress versus strain graphs for wires of two materials A and B are as shown. If $Y_A$ and $Y_B$ are the Young's moduli of the materials, then:

A metal cube has edge length 0.1 m. The bulk modulus of the metal is $1.4 \times 10^{11} \, \text{N/m}^2$. When subjected to hydraulic pressure, the volume contraction of the cube is $5 \times 10^{-2} \, \text{cm}^3$. The applied pressure is

The elastic behavior of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5×10^–4 is ____ kJ/m³. Assume that material is elastic up to the linear strain of 5×10^–4

If the length of a wire is made double and radius is halved of its respective values. Then, the Young’s modulus of the material of the wire will :

A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force F, its length increases by 5 cm. Another wire of the same material of length 4L and radius 4r is pulled by a force 4F under same conditions. The increase in length of this wire is ___ cm.

A screw gauge gives the following readings when used to measure the diameter of a wire Main scale reading : $0\, mm$ Circular scale reading : $52$ divisions Given that $1\, mm$ on main scale corresponds to $100$ divisions on the circular scale. The diameter of the wire from the above data is :

The bulk modulus of a spherical object is $'B'$. If it is subjected to uniform pressure $'p'$, the fractional decrease in radius is :

Steel ruptures when a shear of $ 3.5 \times 10^8 \,Nm^{-2}$ is applied. The force needed to punch a $1\, cm$ diameter hole in a steel sheet $0.3\, cm$ thick is nearly :

The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this face?

A rigid bar of mass 15 kg is supported symmetrically by three wires each 2.0 m long. Those at each end are of copper and the middle one is of iron. Determine the ratios of their diameters if each is to have the same tension.

A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle. The cross-sectional area of the wire is 0.065 cm² . Calculate the elongation of the wire when the mass is at the lowest point of its path.

Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure increase = 100.0 atm (1 atm = 1.013 × 10⁵ Pa), Final volume = 100.5 litre. Compare the bulk modulus of water with that of air (at constant temperature). Explain in simple terms why the ratio is so large.

What is the density of water at a depth where pressure is 80.0 atm, given that its density at the surface is 1.03 × 10³ kg m^–3?

Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

Read the following two statements below carefully and state, with reasons, if it is true or false.

(a) The Young’s modulus of rubber is greater than that of steel;

(b) The stretching of a coil is determined by its shear modulus.

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig. 8.11. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires.

The unloaded length of steel wire

How much should the pressure on a litre of water be changed to compress it by 0.10%? carry one quarter of the load.

A steel wire of length 4.7 m and cross-sectional area 3.0 × 10^-5m² stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 × 10^–5m² under a given load. What is the ratio of the Young’s modulus of steel to that of copper?