JEE Main 2026 Apr 5 Shift 2, Physics Q5: Kinematics and Dynamics of Rotational Motion

JEE Main2026Apr 5, Shift 2Physics

A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s it rotates through an angle $θ_{1}$ and in the next 2 s it rotates through an angle $θ_{2}$ . The ratio $\frac{θ _{2}}{θ _{1}}$ is _____.

A
6
B
3
C
4
D
$\frac{1}{3}$

Solution

With initial angular velocity zero and uniform angular acceleration $α$ :

Angle in first 2 s: $θ_{1} = \frac{1}{2} α (2)^{2} = 2 α$ .

Total angle in 4 s: $θ_{total} = \frac{1}{2} α (4)^{2} = 8 α$ .

Angle in next 2 s: $θ_{2} = 8 α - 2 α = 6 α$ .

$∴ \frac{θ _{2}}{θ _{1}} = \frac{6 α}{2 α} = 3$ .

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JEE Main 2026 Apr 5 Shift 2, Physics Q5: Kinematics and Dynamics of Rotational Motion

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