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A particle has an equation of motion given by: x = cos^2wt – sin^2wt. Select the correct statement regarding the same.(a) It is not a SHM(b) It is a SHM with T = π/w(c) It is an SHM with T = 2π/w(d) Amplitude of motion is 1/√2 mI got this question in an international level competition.The query is from Simple Harmonic Motion topic in chapter Oscillations of Physics – Class 11

Answer»

Right ANSWER is (B) It is a SHM with T = π/w

The best EXPLANATION: X = cos^2wt – sin^2wt = cos 2wt.Thus, TIME period T = 2π/2w = π/w.Also the amplitude of motion is 1m.



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