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A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium position the mass is further pulled …

Q1

A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium position the mass is further pulled down by 2 mm and released. The frequency associated with the system and maximum energy in the spring are _____ Hz and ________ J, respectively.

[JEE Main 2026, 6 Apr (Shift 2)]

a

\(\frac{5\sqrt{50}}{\pi }\text{ and }8\times {10}^{-3}\)

b

\(\frac{5\sqrt{50}}{\pi }\text{ and }8\)

c

\(10\sqrt{50}\text{ and }2\times {10}^{-3}\)

d

\(\frac{5\sqrt{50}}{\pi }\text{ and }16\times {10}^{-3}\)

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