Young's Modulus, Bulk & Rigidity Modulus: JEE Questions & Solutions

The strain-stress plot for materials A, B, C and D is shown in the figure. Which material has the largest Young's modulus?

A brass wire of length 2 m and radius 1 mm at 27^° C is held taut between two rigid supports. Initially it was cooled to a temperature of…

Two wires A and B made of different materials have lengths 6.0 cm and 5.4 cm, and areas of cross-sections 3.0×10⁻⁵ m² and 4.5×10⁻⁵ m²,…

The speed of a longitudinal wave in a metallic bar is 400 m/s. If the density and Young’s modulus of the bar material increase by 0.5% and…

The increase in pressure required to decrease the volume of a water sample by 0.2% is P × 10⁵ N m⁻². Bulk modulus of water is 2.15 × 10⁹ N…

A steel wire of length 2 m and Young's modulus 2.0 × 10¹¹ N/m² is stretched by a force. If Poisson's ratio and transverse strain for the…

A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of 10⁵ N at the top. Considering…

Two wires A and B are made of the same material, having the ratio of lengths L_A/L_B = 1/3 and their diameters ratio d_A/d_B = 2. If both…

A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's…

A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to change of volume of 0.8 cm³. If the bulk modulus of the…

If the average depth of an ocean is 4000 m and the bulk modulus of water is 2×10⁹ N m⁻², then the fractional compression Δ V/V of water at…

A wire of length L and radius r is clamped at one end. If its other end is pulled by a force F, its length increases by l. If the radius of…

Two metallic wires P and Q have the same volume and are made up of the same material. If their areas of cross-section are in the ratio 4:1…

Young’s modulus of a material of a wire of length L and cross-sectional area A is Y. If the length of the wire is doubled and…

Each of three blocks P, Q, and R (each 3 kg) is attached to a wire. Wires A and B each have a cross-sectional area of 0.005 cm² and Young’s…

The depth below the surface of the sea to which a rubber ball can be taken so as to decrease its volume by 0.02% is: (Take density of sea…

A 100 m long wire having cross-sectional area 6.25 × 10⁻⁴ m² and Young's modulus is 10¹⁰ N m⁻² is subjected to a load of 250 N, then the…

Choose the correct relationship between Poisson ratio (σ), bulk modulus (K) and modulus of rigidity (η) of a given solid object:

For a solid rod, the Young's modulus of elasticity is 3.2 × 10¹¹ Nm⁻² and density is 8 × 10³ kg m⁻³. The velocity of longitudinal wave in…

Under the same load, wire A having length 5.0 m and cross section 2.5 × 10⁻⁵ m² stretches uniformly by the same amount as another wire B of…

The Young's modulus of a steel wire of length 6 m and cross-sectional area 3 mm², is 2 × 10¹¹ N/m². The wire is suspended from its support…

A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it along its length. Young's modulus of steel is 2.0…

An aluminium rod with Young's modulus Y = 7.0 × 10¹⁰ N/m² undergoes elastic strain of 0.04%. The energy per unit volume stored in the rod…

Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass, are loaded as shown in the figure. The…

Young's moduli of the material of wires A and B are in the ratio 1:4, while its area of cross sections are in the ratio 1:3. If the same…

The elastic potential energy stored in a steel wire of length 20 m stretched through 2 cm is 80 J. The cross sectional area of the wire is…

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…