Question

If a SHM is given by y = ($sin\omega t+cos\omega t$)m, which of the following statement is true?

• A. The amplitude is 1 m.
• B. The amplitude is $\surd 2$ m.
• C. Time period is $2\pi /\omega$.
• D. Time is considered from y = 0 m.

Answer 1

The correct option is B The amplitude is $\surd 2$ m.

$y=\sin \omega t+\cos \omega t$

Resultant amplitude is A.Here $a_1=1,a_2=1$

$A=\sqrt{a_1^2+a_2^2}=\sqrt{2}m$