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  • Need explanation for: - Oscillations and Waves - JEE Main-5

The SHM of a particle is given by the equation y = 3\sin \omega t + 4\cos \omega t. The amplitude is 

  • Option 1)

    7

  • Option 2)

    1

  • Option 3)

    5

  • Option 4)

    12

 

Answers (2)

best_answer

Resultant Amplitude = \sqrt{3^{2} + 4^{2}} = 5

 

Resultant Amplitude of Two SHM -

A= \sqrt{A{_{1}}^{2}+A{_{2}}^{2}+2A{_{1}}A_{2}.\cos \phi }

A_{1}and A_{2} are amplitude of two SHM's. \phi is phase difference.

 

- wherein

Both SHM's are along same direction and of same frequency.

 

 

 


Option 1)

7

This is incorrect.

Option 2)

1

This is incorrect.

Option 3)

5

This is correct.

Option 4)

12

This is incorrect.

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