question_answer

The displacement of a particle varies according to the relation\[x=4\,(\cos \pi \,t+\sin \pi t)\]. The amplitude of the particle is          [AIEEE 2003]

A)  \[-4\]               

B)       4

C)  \[4\sqrt{2}\]     

D)       8

Correct Answer: C

Solution :

[c] Displacement of the particle is given as

So, amplitude