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Physics · WORK, ENERGY AND POWER

हिन्दी

Given below are two statements regarding a block oscillating on an ideal spring of constant \( k \): Statement I: The dimensional formula of the ratio \( k/m \) is \( [\text{T}^{-2}] \). Statement II: The speed of the block is maximum when it is at the equilibrium position (\( x = 0 \)). In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both Statement I and Statement II are correct.
  2. Both Statement I and Statement II are incorrect.
  3. Statement I is correct but Statement II is incorrect.
  4. Statement I is incorrect but Statement II is correct.

Correct answer · Option 1

Both Statement I and Statement II are correct.

Explanation

\( [k] = [\text{M T}^{-2}] \implies [k/m] = [\text{T}^{-2}] \), so Statement I is correct. At \( x = 0 \), spring potential energy is zero and all mechanical energy is kinetic, so speed is maximum, making Statement II correct.
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