### Class XI

Two sinusoidal waves on the same string exhibit interference, adding or cancelling according to the principle of superposition. If the two are travelling in the same direction and have the same amplitude a and frequency but differ in phase by a phase constant φφ, the result is a single wave with the same frequency ωω :If φφ = 0 or an integral multiple of 2 ππ ,
1. the waves are exactly out of phase and the interference is desstructive.
2. the waves are exactly in phase and the interference is constructive.
3. the waves are exactly in phase and the interference is destructive.
4. the waves are exactly out of phase and the interference is constructive.
The air column in a pipe which is closed at one end will be in resonance with a vibrating tuning fork at a frequency 250 Hz, if the length of the air column is
1. 33 cm.
2. 62.5 cm
3. 12.5 cm.
4. 45 cm.
When two or more waves traverse the same medium, the displacement of any element of the medium is the algebraic sum of the displacements due to each wave. This is known as
1. the Huygens principle for waves
2. the principle of reciprocity of waves
3. the principle of superposition of waves
4. the principle of conservation of waves
in open end organ pipe
1. only odd harmonics are produced
2. only even harmonics are produced
3. None of these
4. both odd and even harmonics are produced
If y(x, t) = a sin (kx + ωωt + φφ) represents a wave function
1. travelling in the -ve x direction
2. direction of travel is sometimes –ve x and +x at other times
3. the equation does not tell the direction
4. travelling in the +ve x direction
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