1. | \(1\) | 2. | \(\dfrac{2}{\pi} \) |
3. | \(\dfrac{4}{\pi^2} \) | 4. | \(\sqrt{\dfrac{2}{\pi}} \) |
1. | conservative |
2. | non-conservative |
3. | neither conservative nor non-conservative |
4. | either conservative or non-conservative depending on whether the force is acting forward or backward |
A particle moves in a circle of radius \(R\) with a constant speed \(v.\) The average acceleration of the particle in during \(\left(\dfrac16\right)^{\mathrm{th}}\) revolution is:
1. \(\dfrac{v^2}{R}\)
2. \(\dfrac{2\pi v^2}{6R}\)
3. \(\dfrac{\pi v^2}{6 R}\)
4. \(\dfrac{3v^2}{\pi R}\)
1. | \(a<\dfrac{2 g}{5}\) |
2. | \(\dfrac{2 g}{5}< a< \dfrac{3 g}{5}\) |
3. | \(\dfrac {3g} {5} <a<g\) |
4. | \(a = g \) |
1. | zero | 2. | \(\dfrac{2u^2}{R}\) |
3. | \(\dfrac{u^2}{\sqrt2R}\) | 4. | \(\dfrac{\sqrt2u^2}{R}\) |