Question

# The amplitude of a damped oscillator becomes half on one minute. The amplitude after 3 minute will be $$\displaystyle\dfrac{1}{X}$$ times the original, where $$X$$ is

A
2×3
B
23
C
32
D
3×22

Solution

## The correct option is B $$2^3$$Amplitude of damped oscillator$$A=A_0e^{- \lambda t} ; \lambda =constant, t=time$$For $$t=1\ min. \dfrac{A_0}{2}=A_0 e^{- \lambda t} \Rightarrow e^{\lambda}=2$$For $$t=3\ min.\ A=A_0e^{- \lambda \times 3 }=\dfrac{A_0}{(e^{\lambda})^3}=\dfrac{A_0}{2^3}$$$$\Rightarrow X=2^3$$Physics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More