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>>Characteristics of a Progressive Wave
>> $The motion of the particle in simple har$

Question

The motion of the particle in simple harmonic motion is given by $x = a sin ω t$
If its speed is u, when the displacement is $x_{1}$ and speed is v, when the displacement is $x_{2}$ , show that the amplitude of the motion is
.

A

$a = [\frac{v ^{3} x _{1}^{3} - u ^{2} x _{2}^{2}}{v ^{2} - u ^{2}}]^{1 / 2}$

B

$a = [\frac{v ^{2} x _{1}^{2} - u ^{2} x _{2}^{2}}{v ^{2} - u ^{2}}]^{1 / 2}$

C

$a = [\frac{v ^{3} x _{1}^{2} - u ^{3} x _{2}^{2}}{v ^{3} - u ^{3}}]^{1 / 2}$

D

$a = [\frac{v ^{4} x _{1}^{2} - u ^{4} x _{2}^{2}}{v ^{4} - u ^{4}}]^{1 / 2}$

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Updated on : 2022-09-05

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Correct option is B)

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