The displacement of a particle is given by the relation x=4 ( cos ⁡ πt+ sin ⁡ πt ). The amplitude of the particle is

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Accepted Answer

Correct answer: C. (c) Sincex=4 ( cos ⁡ πt+ sin ⁡ πt ) given ∴x=4 2( 1 2 cos ⁡ πt+ 1 2 sin ⁡ πt) =4 2( sin ⁡ 4 cos ⁡ πt+ cos ⁡ 4 sin ⁡ πt) or ,x=4 2 sin ⁡( πt+ 4) ∴ amplitudea=4 2

$The displacement of a particle is given by the relation x = 4 (cos πt + sin πt) . The amplitude of the particle is$

Solution

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