A ruler of rest length (ell) is at rest in the frame of inertial observer (mathcal{O}) and

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A ruler of rest length \(\ell\) is at rest in the frame of inertial observer \(\mathcal{O}\) and is at angle \(\theta\) with respect to the \(+x\)-direction. Now consider an inertial observer \(\mathcal{O}^{\prime}\) in an identical inertial frame except that it has been boosted by speed \(v\) in the \(+x\)-direction. What is the length \(\ell^{\prime}\) of the ruler and what is the angle \(\theta^{\prime}\) with respect to the \(+x^{\prime}\)-direction that will be measured by \(\mathcal{O}^{\prime}\) ?

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