Question

What is the smallest positive phase constant which is equivalent to 7.5π?

Answer 1

Answer ⇒ 1.5π

Explanation ⇒ First of all before answering this question we should know what exactly the wave is?

''Wave is defined as the disturbance which moves and the not the actually particles are there which moves.''

We know that the displaces of the any particle or the equation of the wave is given by the expression,

  y = A.sin[⍵(t-x/v) + Ф ]

where Ф is the Initial phase.

Since a value of the phase constant will be unique for one oscillation and it will be repeated at each 2π angle.

So the smallest positive value of Ф equivalent to 7.5π will be

= 7.5π - 2nπ

By Substituting,

n = 3

This means, 7.5π - 6π = 1.5π

Hope it helps.

Answer 2

The displacement of a particle on the string is given as y = A.sin[⍵(t-x/v) + ⲫ] where ⲫ is the phase constant. Since a value of the phase constant will be unique for one oscillation and it will be repeated at each 2π angle. So the smallest positive value of ⲫ equivalent to 7.5π will be = 7.5π-2nπ by putting n = 3 i.e., 7.5π-6π = 1.5π.

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