JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first \(2\text{ s}\) it rotates through an angle \(\theta_1\) and in the next \(2\text{ s}\) it rotates through an angle \(\theta_2\). The ratio \(\dfrac{\theta_2}{\theta_1}\) is _______.
- A \(6\)
- B \(3\)
- C \(4\)
- D \(\dfrac{1}{3}\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
Using the equation of rotational kinematics \(\theta = \omega_0 t + \dfrac{1}{2} \alpha t^2\). Since the wheel is initially at rest, \(\omega_0 = 0\). Angle rotated in the first \(2\text{ s}\): \(\theta_1 = \dfrac{1}{2} \alpha (2)^2 = 2\alpha\) Angle rotated in the first…
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