Class 11

5. Motion In A Plane question bank (Physics)

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Q1.

The equation of a projectile is \( y = \sqrt{3}x - \frac{gx^2}{2} \). The angle of projection is given by  

(A)
\( \tan \theta = \frac{1}{\sqrt{3}} \)
(B)
\( \tan \theta = \sqrt{3} \)
(C)
\( \frac{\pi}{2} \)
(D)
Zero
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Q2.

A particle is moving in a circle of radius \(R\) in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at \(t=0\) is \(v_0\), the time taken to complete the first revolution is  

(A)
\(\frac{R}{v_0}\)
(B)
\(\frac{R}{v_0}(1 - e^{-2\pi})\)
(C)
\(\frac{R}{v_0} e^{-2\pi}\)
(D)
\(\frac{2\pi R}{v_0}\)
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