Question

A spring stretches by \(2\,\text{mm}\) when it is loaded with a mass of \(200\,\text{g}\). From equilibrium position the mass is further pulled down by \(2\,\text{mm}\) and released. The frequency associated with the system and the maximum energy in the spring are _____ Hz and _____ J, respectively. (Take \(g=10\,\text{m/s}^2\)).

• A. \( \frac{5\sqrt{50}}{\pi} \) and \(8\times10^{-3}\)
• B. \( \frac{5\sqrt{50}}{\pi} \) and \(8\)
• C. \( \frac{10\sqrt{50}}{\pi} \) and \(2\times10^{-3}\)
• D. \( \frac{5\sqrt{50}}{\pi} \) and \(16\times10^{-3}\)

Answer 1

The Correct Option is A