A 5 m long steel wire is suspended from the ceiling of a room. A sphere of mass 25 kg and 10 cm radius is attached to another end of the wire. The  height of the ceiling is 5.21 m. When the sphere is made to oscillate as a pendulum, then its lowest point just touches the floor. The velocity of the sphere at the lowest point will be : 

(Given : Y = 2 x 10¹¹N/m², radius of wire = 0.05 cm)

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

The Young's modulus of a wire is Y. If the energy per unit volume is E, then the strain will be :

One end of a uniform wire of length L and weight W is attached rigidly to a point in roof and a weight W₁ is suspended from its lower end. If S is the area of corss-section of the wire, the stress in the wire at a height of 3L/4 from its lower end is :

In the given figure, if the dimensions of the wires are the same and materials are different, Young's modulus is more for :

The diameter of brass rod is 4 mm. Young's modulus of brass is 9 X 10⁹ N / m ².  The force required to stretch 0.1 % of its length is :

The length of an iron wire is L and area of cross-section is A. The increase in length is l on applying the force F on its two ends. Which of the statement is correct ?

A  rubber piece  is wider than it is thick. When it is stretched in length by some amount :

A wire elongates by l mm when a lad W is hanging  from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm) :

Which of the following depends on the breaking stress of a wire?