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A block of mass \(2\) kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass…

Q1

A block of mass \(2\) kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless horizontal table. The spring's natural length is\(2\)m and spring constant is \(200\mathrm{N}/\mathrm{m}\). The block is pushed such that the length of the spring becomes 1 m and then released. At distance \(xm(\mathrm{x}<2)\) from the wall. the speed of the block will be :

[JEE Main 2025, 8 Apr (Shift 1)]

a

\(10[1-(2-x){]}^{3/2}\mathrm{m}/\mathrm{s}\)

b

\(10{\left[1-(2-x{)}^{2}\right]}^{1/2}\mathrm{m}/\mathrm{s}\)

c

\(10\left[1-(2-x{)}^{2}\right]\mathrm{m}/\mathrm{s}\)

d

\(10{\left[1-(2-x{)}^{2}\right]}^{2}\mathrm{m}/\mathrm{s}\)

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