Dimensional formula of stress is same as that of

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

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

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

What is Bulk modulud for a perfectly rigid body?

A uniform pressure p is exerted on all sides of a solid cube at temperature t⁰C.By what amount should the temperature of the cube raised in order to bring its volume back to the volume it had before the pressure was applied, if the Bulk modulus and coefficient of volume expansion of the material B are \(\gamma \) and respectively.

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

The stress-strain graphs for materials A and B are shown in Fig. (a) and Fig. (b).

The graphs are drawn to the same scale.
(a) Which of the materials has the greater Young’s modulus?
(b) Which of the two is the stronger material?

What is the shape of stress-strain graph within elastic limit?

Two cylinders A and B of radii rand 2r are soldered co-axially. The free end of A is clamped and the free end of B is twisted by an angle ф. Find twist at the junction taking the material of two cylinders to be same and of equal length.

Identical springs of steel and copper are equally stretched.On which, more work will have to be done?

A bar of cross-section A is subjected to equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle 8 with the axis of the bar.
(i) What is the tensile stress on this plane?
(ii) What is the shearing stress on this plane?
(iii) For what value of 8 is the tensile stress maximum?
(iv) For what value of e is the shearing stress maximum?                   

The length of a metal wire is l₁ when the tension in it is T₁ and is l₂when the tension is T₂· Find the original length of the wire.

When a weight W is hung from one end of a wire of length L (other end being fixed), the length of the wire increases by I (Fig. a). If the wire is passed over a pulley and two weights W each are hung at the two ends (Fig. b), What will be the total elongation in the wire?

Consider an Indian rubber cube having modulus of rigidity of 2 x 10⁷ dyne/cm² and of side 8 cm. If one side of the rubber is fixed, while a tangential force equal to the weight of 300 kg is applied to the opposite face, then find out the shearing strain produced and distance through which the strain side moves.

What is the length of a wire that breaks under its own weight when suspended vertically? Breaking stress = 5 x 10⁷ Nm^-2 and density of the material of the wire = 3 x 10³ kg/m³

State Hooke's law. Define Young's modulus of elasticity. A wire loaded by a weight of density 7.6 g cm^-3 is found to measure 90 cm. On immersing the weight in water, the length decreased by 0.18 cm. Find the original length of wire.

A boy's catapult is made of a rubber cord 42 cm long and 6 mm in diameter. The boy stretches the cord by 20 cm. Find the Young's modulus of the rubber if a stone weighing 0.02 kg when catapulated flies with a velocity of 20 ms^-1. Disregard the change in the cross-section of the cord in stretching.