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P a Particle Moves on the X-axis According to the Equation X = a + B Sin ωT. the Motion is Simple Harmonic with Amplitude

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प्रश्न

A particle moves on the X-axis according to the equation x = A + B sin ωt. The motion is simple harmonic with amplitude

पर्याय

  • A

  • B

  • A + B

  • \[\sqrt{A^2 + B^2} .\]

MCQ
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उत्तर

B

At t = 0,

Displacement \[\left( x_0 \right)\]  is given by,   x0 = A + sin ω(0) = A

Displacement x will be maximum when sinωt is 1 or,
 xm = A + B

Amplitude will be:
xm \[-\]xo = A + B \[-\] A = B

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पाठ 12: Simple Harmonics Motion - MCQ [पृष्ठ २५०]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 12 Simple Harmonics Motion
MCQ | Q 9 | पृष्ठ २५०

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