Elasticity PYQs - Last 10 Years

Two wires of the same material (Young's modulus $=Y$ ) and same length $L$ but radii $R$ and $2 R$ 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...

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

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

For a constant hydraulic stress on an object, the fractional change in the object's volume \(\left( {{{\Delta V} \over V}} \right)\) and its bulk modulus B are related as

If a man becomes a giant, expanding his linear dimensions by a factor of eight, and assuming his density remains unchanged, the factor by which the stress in his legs will increase is