Dimensional formula of stress is same as that of

Young's modulus of a material has the same unit as

Elastic limit is equal to

Which of the following is not a unit of Young's modulus?

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

A spring of force constant k is cut into two equal parts. The force constant of each part is

Young's modulus of a wire depends on

A square lead slab of side 50 cm and thickness 10 cm is subjected to a shearing force (on its narrow edge) of 9.0 x 10⁴ N. The lower edge is reveted to the floor. How much will the upper edge be displaced? Modulus of rigidity of lead = 5.6 x 10⁹ N/m²

Two wires made of same material are subjected to forces in the ratio 1 : 4. Their lengths are in the ratio 2 : 1 and diameters in the ratio 1 : 3. What is the ratio of their extensions ?

What are ductile materials?

A steel ring of radius r and cross-section area A is fitted onto a wooden disc of radius R (R> r). If Young's modulus be E, find the force with which the steel ring is expanded.

The bulk modulus of water is 2.3 x 10⁹ Nm^-2. Find its compressibility. How much pressure in atmosphere is needed to compress a sample of water by 0.1 %. Take 1 atmosphere pressure = 1.01 x 10 Nm^-2.

Determine the volume contraction of a solid copper cube, 10cm on an edge, when subjected to a hydraulic pressure of 7 x 10⁶ Pa. Bulk modulus for copper = 140 x 10⁹ Pa.

Anvils made of single crystals of diamond, with the shape as shown in figure are used to investigate the behaviour of materials under very high pressure. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm and the wide en are subjected to a compressional force of 50000 N. What is the pressure at the tip of the anvil?

A uniform heavy rod of weight W, cross-sectional area A and length I is hanging from a fixed , support. Young's modulus of the material of the rod is Y. Neglecting the lateral contraction, find the elongation produced in the rod.

Elasticity is said to be internal property of matter. Explain.

A uniform pressure P is exerted on all sides of a solid cube. It is heated through t⁰C in order to bring its volume back to the value it had before the application of pressure. Find the value of t.

Percentage Strain in Rod
Consider a steel rod having radius of 8 mm and the length of 2m. If a force of 150 kN stretches it along its length, then calculate the stress, percentage strain in the rod if the elongation in length is  7.46 mm.

Volumetric Analysis 
What will be the decrease in vloume of 100 cm³ of water under pressure of 100 atm if the compressibility of water is 4 x 10^-5 per unit atmospheric pressure?

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 load of 31.4 kg is suspended from a wire of radius 10^-3 m and density 9 x 10³ kg/m³. Calculate the change in temperature of the wire if 75% of the work done is converted into heat. The Young's modulus and the specific heat capacity of the material of the wire are 9.8 x 10¹⁰ N/m² and 490 J/kg/k respectively.