Mechanical Prop...

Young\'s modulus of the material of a wire is Y. On pulling the wire by a force F, the increase in its length is x. The potential energy of the stretched wire is

Which of the following is true for elastic potential energy density?

The work per unit volume to stretch the length by 1% of a wire with cross-sectional area of 1 mm² will be. [Y = 9 × 10¹¹ N/m²]

A wire of length 50 cm and cross-sectional area of 1 sq mm is extended by 1 mm. The required work will be (Y = 2 × 10¹⁰ Nm^–2)

The elastic energy stored in a wire of Young\'s modulus Y is

If a spring extends by x on loading, then the energy stored by the spring is (if T is tension in the spring and k is spring constant)

On stretching a wire, the elastic energy stored per unit volume is

When a force is applied on a wire of uniform cross-sectional area 3 × 10^–6 m² and length 4 m, the increase in length is 1 mm. Energy stored in it will be (Y = 2 x 10¹¹ N/m²)

K is the force constant of a spring. The work done in increasing its extension from l₁ to l₂ will be

When a 4 kg mass is hung vertically on a light spring that obeys Hooke\'s law, the spring stretches by 2 cm. The work required to be done by an external agent in stretching this spring by 5 cm will be (g = 9.8 m/sec²)