The increase in energy of a metal bar of length ‘L’ and cross-sectional area ‘A’ when compressed with a load ‘M’ along its length is (Y = Young’s modulus of the material of metal bar)
A. \(\frac{\mathrm{FL}}{2 \mathrm{AY}}\)
B. \(\frac{\mathbf{F}^{2} \mathbf{L}}{\mathbf{2 A Y}}\)
C. \(\frac{\mathrm{FL}}{\mathrm{AY}}\)
D. \(\frac{F^{2} L^{2}}{2 A Y}\)
Answer:B
The increase in energy of a metal bar of length ‘L’ and cross-sectional area ‘A’ when compressed with a load ‘M’ along its length is (Y = Young’s modulus of the material of metal bar)
A. \(\frac{\mathrm{FL}}{2 \mathrm{AY}}\) B. \(\frac{\mathbf{F}^{2} \mathbf{L}}{\mathbf{2 A Y}}\) C. \(\frac{\mathrm{FL}}{\mathrm{AY}}\) D. \(\frac{F^{2} L^{2}}{2 A Y}\)