The amplitude of a wave is represented by y = 0 .2 sin ⁡ 4 π t 0 .08 − x 0 .8 in SI units. Find (a) wavelength, (b) frequency and (c)amplitude of the wave.

Given, The amplitude of a wave is represented by, y = 0 .2 sin ⁡ 4 π t 0 .08 − x 0 .8 y = 0 .2 sin ⁡ 2 π 2 t 0 .08 − 2 x 0 .8 y = 0 .2 sin ⁡ 2 π t 0 .04 − x 0 . 4 - - - - - - - 1 Let us compare the above equation with the equation of a simple harmonic progressive wave: y = A sin 2 π t T - x λ - - - - - 2 Comparing the Eq; 1 & 2 0 .2 sin ⁡ 2 π t 0 .04 − x 0 . 4 = A sin 2 π t T - x λ Comparing the quantities on both sides, we get, A = 0 . 2 T = 0 . 04 λ = 0 . 4 Therefore, (a) Wavelength, ( λ ) = 0 . 4 m (b) Frequency, ( n ) = 1 T = 1 0 . 04 = 25 Hz (c) Amplitude, ( A ) = 0 . 2 m .

E M B I B E

Physics Standard 12>Chapter 6 - Superposition of Waves>Exercises>Q 1

EASY

12th Maharashtra Board

IMPORTANT

Earn 100

A standing wave is produced on a string fixed at one end with the other end free. The length of the string

50% studentsanswered this correctly

Important Questions on Superposition of Waves

HARD

12th Maharashtra Board

IMPORTANT

Physics Standard 12>Chapter 6 - Superposition of Waves>Exercises>Q 2

A string is fixed at the two ends and is vibrating in its fundamental mode. It is known that the two ends will be at rest. Apart from these, is there any position on the string which can be touched so as not to disturb the motion of the string? What will be the answer to this question if the string is vibrating in its first and second overtones?