The displacement of a particle varies according to the relation x = 4(cosπt + sinπt). The amplitude of the particle is

(a) – 4 

(b) 4

(c) 4√2 

(d) 8.

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2 Answers

how did the last step come from the second last step
 ( before ' Hence, amplitude = 4root 2 )

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y=Rsin(πt+ϕ)
Here R is the amplitude
So amplitude = 4√2 units

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