The figure shows a lamina in \(xy\text{-}\)plane. Two axes \({z}\) and \(z'\) pass perpendicular to its plane. A force \(\vec{F}\) acts in the plane of the lamina at point \(P\) as shown in the figure.
(The point \(P\) is closer to the \(z'\text-\)axis than the \(z\text{-}\)axis.)
| (a) | torque \(\vec{\tau}\)caused by \(\vec{F}\)about \(z\text{-}\)axis is along \((-\hat{k})\) |
| (b) | torque \(\vec{\tau}'\)caused by \(\vec{F}\)about \(z'\text-\)axis is along \((-\hat{k})\) |
| (c) | torque caused by \(\vec{F}\)about the \(z\text{-}\)axis is greater in magnitude than that about the \(z'\text-\)axis |
| (d) | total torque is given by \(\vec{\tau}_{net}=\vec{\tau}+\vec{\tau}'\) |
Choose the correct option from the given ones:
| 1. | (c) and (d) only |
| 2. | (a) and (c) only |
| 3. | (b) and (c) only |
| 4. | (a) and (b) only |
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