Mechanical Prop...

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)

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)

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)

A wire of length L and cross-sectional area A is made of material of Young\'s modulus Y. It is stretched by an amount x. The work done (or energy stored) is

To what depth below the surface of sea should a rubber ball be taken as to decrease its volume by 0.1%? (Take density of sea water = 1000 kgm^–3, Bulk modulus of rubber = 9 × 10⁸ Nm^–2, acceleration due to gravity = 10 ms^–2 ]

The compressibility of water is 4 × 10^–5 per unit atmospheric pressure. The decrease in volume of 100 cubic centimetre of water under a pressure of 100 atmosphere will be

If a rubber ball is taken at the depth of 200 m in a pool, its volume decreases by 0.1%. If the density of the water is 1 × 10³ kg/m³ and g = 10 m/s², then the volume elasticity in N/m² will be

For a constant hydraulic stress on an object, the fractional change in the object\'s volume (∆V/ V) and its bulk modulus (B) are related as

When a pressure of 100 atmosphere applied on a spherical ball, then its volume reduces to 0.01%. The bulk modulus of the material of the rubber in dyne/cm² is