Question

A transverse wave is travelling in a string. Study following statements.
(i) Equation of the wave is equal to the shape of the string at an instant t.
(ii) Equation of the wave is general equation for displacement of a particle of the string
(iii) Equation of the wave must be sinusoidal equation
(iv) Equation of the wave is an equation for displacement of the particle at one end only. Correct statements are

• A. (i) and (ii)
• B. (ii) and (iii)
• C. (i) and (iii)
• D. (ii) and (iv)

Answer 1

The correct option is A (i) and (ii)

At any instant t, the wave equation will express the variation of y with x which is equal to the shape of the string at an instant t and the wave equation of represents the displacement of the particles of the medium as function of time