Ncert Exercises & Solutions

What is the ratio between the distance travelled by the oscillator in one time period and amplitude?

Hint: The oscillating particle covers a distance equal to amplitude in one-fourth of the oscillation.

Step 1: Find the distance covered by the particle in one oscillation.

The diagram represents the motion of a particle executing SHM between A and B.

The total distance travelled while it goes from A to B and returns to A = AO+OB+BO+OA

=A+A+A+A=4A [

∵

OA=A]

Amplitude =OA=A

Step 2: Find the ratio.

Hence, the ratio of distance and amplitude

= \frac{4 A}{A} = 4