A wheel initially at rest undergoes uniform angular acceleration. In the first 2 s it rotates through θ₁ and in the next 2 s through θ₂. The ratio$\frac{{\theta }_{2}}{{\theta }_{1}}$ is:

[JEE Main 2026, 5 Apr (Shift 2)]

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YESPYQ · Accepted Answer

Correct answer: b) 3. Initially, the wheel is at rest. For the first 2 s :${\theta }_{1}=\frac{1}{2}\alpha (2{)}^{2}=2\alpha$ For the first 4 s :${\theta }^{'}=\frac{1}{2}\alpha (4{)}^{2}=8\alpha$ So, in the next 2 s : ${\theta }_{2}={\theta }^{'}-{\theta }_{1}=8\alpha -2\alpha =6\alpha$ Thus, $\frac{{\theta }_{2}}{{\theta }_{1}}=\frac{6\alpha }{2\alpha }=3$

A wheel initially at rest undergoes uniform angular acceleration. In the first 2 s it rotates through θ₁ and in the next…

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