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  • Please,please help me - Oscillations and Waves - JEE Main-4

The amplitude of a damped oscillation becomes half in one minute. The amplitude after 3 mins will \frac{1}{x} the original, where x is

  • Option 1)

    2 \times 3

  • Option 2)

    2^{3}

  • Option 3)

    3^{2}

  • Option 4)

    3 \times 2^{3}

 

Answers (1)

best_answer

A = A_{0} e^{-\lambda t}\;\;\;\; (\lambda = constant\;\;\& \;\;t = time)

For 

 \\*t = 1 min\;\;\frac{A_{0}}{2} = A_{0}e^{-\lambda t}\Rightarrow e^{\lambda} = 2 \\*t = 3min \Rightarrow \frac{A_{0}}{2^{3}} \Rightarrow x = 2^{3}

 

Resultant amplitude in damped oscillation -

A=A_{0}.e^{-\frac{bt}{2m}}

E=E_{0}.e^{-\frac{bt}{2m}}

- wherein

A= Amplitude

E= Energy

 

 

 

 


Option 1)

2 \times 3

This is incorrect.

Option 2)

2^{3}

This is correct.

Option 3)

3^{2}

This is incorrect.

Option 4)

3 \times 2^{3}

This is incorrect.

Posted by

divya.saini

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