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Oscillations

The equation ...

Question

The equation of displacement of a harmonic oscillator is $x = 3 sin ω t + 4 cos ω t$ . The amplitude of the particles will be

A

1

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B

5

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C

7

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D

12

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Solution

The correct option is B 5
In the equation of superposition of SHMs or Harmonic oscillator, $x = a s i n ω t + b s i n ω t$ , the resultant amplitude is given by $A = \sqrt{a^{2} + b^{2}}$ . Substituting a=3 and b=4, we get final answer as Option B, i.e. 5

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