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A S.H.M. is represented by $x = 5 \sqrt{2} (\sin 2 πt + \cos 2 πt) .$ The amplitude of the S.H.M. is

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Correct option is A

x=52sin2π t+cos2π t=52sin2π t+52cos2π tx=52sin2πt+52sin 2π t+π2Phase difference between constituent waves φ=π2∴Resultant amplitude A=(52)2+(52)2=10 cm.

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A S.H.M. is represented by x=52(sin2πt+cos2πt). The amplitude of the S.H.M. is

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A S.H.M. is represented by $x = 5 \sqrt{2} (\sin 2 πt + \cos 2 πt) .$ The amplitude of the S.H.M. is