Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

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

MCQ

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

#### Options

• A

• B

• A + B

• $\sqrt{A^2 + B^2} .$

#### Solution

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

Is there an error in this question or solution?

#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 12 Simple Harmonics Motion
MCQ | Q 9 | Page 250