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A particle moves along a straight line to follow the equation $a x^{2} + b v^{2} = k$ , where a, b and k are constants and x and v are x-coordinate and velocity of the particle respectively. Find the amplitude.

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detailed solution

Correct option is D

ax2+bv2=kbv2=k−ax2v2=kb−abx2 Compare with v2=A2ω2−ω2x2ω2=a/b and A2ω2=k/bA=A2ω2ω2=k/ba/b=ka

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A particle moves along a straight line to follow the equation ax2+bv2=k, where a, b and k are constants and x and v are x-coordinate and velocity of the particle respectively. Find the amplitude.

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A particle moves along a straight line to follow the equation $a x^{2} + b v^{2} = k$ , where a, b and k are constants and x and v are x-coordinate and velocity of the particle respectively. Find the amplitude.