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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

Given x x=4cos⁡πt+4sin⁡πtThe equation of simple harmonic motion can be expressed as x=a1cos⁡πt+a2sin⁡πt a=a12+a22=(16+16)=42

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