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A uniform rod of Young’s modulus Y is stretched by two tension forces T1 and T2 such that the rods get expanded to length L1 and L2 respectively. Find the initial length of the rod?

a. \(\begin{array}{l}\frac{L_{1}T_{1}-L_{2}T_{2}}{T_{1}-T_{2}}\end{array} \) b. \(\begin{array}{l}\frac{L_{2}T_{1}-L_{1}T_{2}}{T_{2}-T_{1}}\end{array} \) c. \(\begin{array}{l}\frac{L_{1}T_{2}-L_{2}T_{2}}{T_{2}-T_{1}}\end{array} \) d. \(\begin{array}{l}\frac{L_{1}}{T_{1}}\times \frac{T_{2}}{L_{2}}\end{array} \) Solution: Answer: (c) Let the initial length... View Article

A plane electromagnetic wave travels in free space. Electric field is [latex]left | vec{E} right |=E_{0}hat{i}[/latex] and magnetic field is represented by [latex]left | vec{B} right |=B_{0}hat{k}[/latex]. What is the unit vector along the direction of propagation of electromagnetic waves?

a. \(\begin{array}{l}\hat{j}\end{array} \) b. \(\begin{array}{l}-\hat{k}\end{array} \) c. \(\begin{array}{l}-\hat{j}\end{array} \) d. \(\begin{array}{l}\hat{k}\end{array} \) Solution: Answer: (c) Direction of the EM wave... View Article

The velocities of a particle performing SHM at a distance of x1 and x2 from mean position are v1 and v2, find the time period of oscillation?

a. \(\begin{array}{l}2\pi \sqrt{\frac{x^{\frac{2}{2}}+x^{\frac{2}{1}}}{v^{\frac{2}{1}}-v^{\frac{2}{2}}}}\end{array} \) b. \(\begin{array}{l}2\pi \sqrt{\frac{x^{\frac{2}{2}}-x^{\frac{2}{1}}}{v^{\frac{2}{1}}+v^{\frac{2}{2}}}}\end{array} \) c. \(\begin{array}{l}2\pi \sqrt{\frac{x^{\frac{2}{2}}-x^{\frac{2}{1}}}{v^{\frac{2}{1}}-v^{\frac{2}{2}}}}\end{array} \) d. \(\begin{array}{l}2\pi \sqrt{\frac{x^{\frac{2}{2}}+x^{\frac{2}{1}}}{v^{\frac{2}{1}}+v^{\frac{2}{2}}}}\end{array} \) Solution: Answer: (c) \(\begin{array}{l}v... View Article