question_answer

If a simple harmonic motion is represented by \[\frac{{{d}^{2}}x}{d{{t}^{2}}}+\alpha x=0,\] its time period is     AIEEE  Solved  Paper-2005

A) \[\frac{2\pi }{\alpha }\] 

B)                        \[\frac{2\pi }{\sqrt{\alpha }}\]  

C)        \[2\pi \alpha \]                 

D)        \[2\pi \sqrt{\alpha }\]

Correct Answer: B

Solution :

Given, simple harmonic is                          ?..(i) We know acceleration,     ?(ii) From Eqs. (i) and (ii), we have Or