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Pratik Somani Grade: 12

Two coherent sources S1 and S2 are placed along the diameter of a circle symmetrically about the center at a distance x from each other(x= 5y,y=wavelength of light).Find the no. of points on the circle having maxima.

7 years ago

Answers : (1)

879 Points

Dear student,

A simple harmonic motion is a vibratory motion in a line between two points. The speed at both the end points is 0, and maximum at the center. The motion is driven by an elastic restoring force proportional to the distance from the center. Acceleration being proportional to the force, hence it is always proportional to the distance from the center also and always is in the negative direction of the motion, as the force is a restoring force, always trying to draw the particle under motion to the center or the equilibrium position. If a particle undergoes a motion of uniform speed along a circle, its projection on a particular diameter undergoes a simple harmonic motion. Suppose the radius vector of the particle on the circle makes an angle theta = wt with a fixed radius and if the radius is of length A, ( the diameter being 2A) and if the fixed radius vector makes an angle Φ with fixed diameter, the radius vector of any point on the circle makes an angle wt + Φ with the fixed diameter and Acos(wt + Φ) is the projection of the revolving radius vector on the fixed diameter.


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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

7 years ago
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