MHT CET · Physics · Rotational Motion

A torque of \(50 \mathrm{Nm}\) acts on a body for 8 second which is initially at rest. The change
in its angular momentum is

A \(400 \mathrm{kgm}^{2} / \mathrm{s}\)
B \(600 \mathrm{kgm}^{2} / \mathrm{s}\)
C \(1000 \mathrm{kgm}^{2} / \mathrm{s}\)
D \(800 \mathrm{kgm}^{2} / \mathrm{s}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(400 \mathrm{kgm}^{2} / \mathrm{s}\)

Step-by-step Solution

Detailed explanation

\(\tau=50 \mathrm{Nm}\) for 8 second initially at rest
\(\vec{L}=\vec{\tau} \cdot t \quad\) for constant \(\vec{L}\) \(\vec{\tau}\)
\(|\vec{L}|=400 \mathrm{~kg} \mathrm{M}^{2} / \mathrm{S}.\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A torque of \(50 \mathrm{Nm}\) acts on a body for 8 second which is initially at rest. The changein its angular momentum is

Step-by-step Solution

A torque of \(50 \mathrm{Nm}\) acts on a body for 8 second which is initially at rest. The change
in its angular momentum is