Two wires of the same material (Young's modulus=Y) and same length L but radii R and 2R respectively are joined end to end and a weight w is suspended from the combination as shown in the figure. The elastic potential energy in the system is

Two wires of same material and same length have radii r_1 and r_2 respectively. Compare their resistances.

Two sphere S_(1)andS_(2) made of the same material and having radii 2r and r, respectively, are immersed in water and suspended from either end of a beam as shown in figure. The beam is in equilibrium when x:y=1:3 Determine the density of the object.

Two wires of same material have length L and L/2 and radius r and r/2 respectively. The ratio of their Young's modulus is

Two wires of same material have same length but their radii are 0.1 cm and 0.2 cm. Then the value of Young's modulus is,

Two wires of same material and length have the radii of their cross sections as r and 2r, respectively. The ratio of their resistances

A block of mass M is suspended from a wire of length L, area of cross-section A and Young's modulus Y. The elastic potential energy stored in the wire is

A block of mass M is suspended from a wire of length L, area of cross-section A and Young's modulus Y. The elastic potential energy stored in the wire is

Two Steel wires of the same length but radii r and 2r are connected together end to end and tied to a wall as shown. The force stretches the combination by 10 mm . How far does the midpoint A move? (in mm)