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Question

A body moves along a curved path of a quarter circle.Calculate the ratio of distance to displacement :


A
11:7
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B
7:11
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C
11:72
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D
7:112
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Solution

The correct option is D $$11:7\sqrt{2}$$
Perimeter of circle is $$2\pi R$$
Hence, distance on the quarter circle is $$d$$ =$$ \dfrac{2\pi R}{4} = \dfrac{\pi R}{2}$$
Displacement is $$D$$ =$$R\sqrt{2}$$

$$\therefore$$ $$d:D = \dfrac{\pi R}{2} :R\sqrt{2}$$

$$\pi = \dfrac{22}{7}$$

$$d:D = 11:\sqrt{2}\times 7$$

Physics

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