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Q.

When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is:

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a

elliptical

b

parabolic

c

straight line

d

circular

answer is A.

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Detailed Solution

$Velocity as function of displacement, v = ω \sqrt{A^{2} - x^{2}}$

$\Rightarrow \frac{x^{2}}{A^{2}} + \frac{v^{2}}{A^{2} ω^{2}} = 1$

$This represents ellipse.$

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