The displacement of a particle varies according to the relation x = 4(π t + π t) . The amplitude of the particle is: - Physics MCQ AIEEE 2003 2026 | ExamTest.live

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

Solution & Step-by-step Explanation

Equation is x = 4 cos π t + 4 sin π t .This is of form x = A_{1} sin ω t + A_{2} cos ω t .Resultant amplitude A = A_{1}^{2} + A_{2}^{2} . A = 4^{2} + 4^{2} = 16 + 16 = 32 = 42 .

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

- 4

4

42

8

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