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Questions  

The displacement of a particle varies according to the relation
x = 4(cos πt + sin πt)
The amplitude of the particle is

a
8
b
-4
c
4
d
42

detailed solution

Correct option is D

x = 4(cos πt+sin πt)   = 42[12cos πt+12sin πt]  = 42[sinπ4cosπt+cosπ4sinπt]= 42 sin(πt+π4)Standard equation of displacement is:x = a sin (ωt+∅)Comparing the given equation with standard equationa = 42

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