1)

The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5 s. In another 10 s it will decrease 10 $\alpha$ times its original magnitude, where $\alpha$ equals,


A) 0.7

B) 0.84

C) 0.729

D) 0.6

Answer:

Option C

Explanation:

Amplitude   decreases exponentially, In 5 s it remain  0.9 times .Therefore in total  15 s it will remains (0.9) (0.9)(0.9)= 0.729 times its original value