Given below are some functions of x and t to represent the displacement the displacement ( transverseor longitudinal ) of an elasticwave. State which of these represent (i) atravelling wave, (ii) a stationary wave or ( iii) none at all : (a)y = 2cos ( 3x ) sin ( 10 t ) (b)y= 2 sqrt(x-vt) (c ) y =3 sin ( 5x - 0.5 t ) + 4 cos ( 5x- 0.5 t ) (d)y cos x sin t+ cos 2x sin 2t

Given below are some functions of x and t to represent the displacemen

1.	Given below are some functions of x and t to represent the displacement the displacement ( transverseor longitudinal ) of an elasticwave. State which of these represent (i) atravelling wave, (ii) a stationary wave or ( iii) none at all : (a)y = 2cos ( 3x ) sin ( 10 t ) (b)y= 2 sqrt(x-vt) (c ) y =3 sin ( 5x - 0.5 t ) + 4 cos ( 5x- 0.5 t ) (d)y cos x sin t+ cos 2x sin 2t
Answer» Solution :(a) It represents a stationary wave as harmonicfunctions of x & t are contained separately in the equation . (b) It cannot represent any type of wave. (c ) It represents a PROGRESSIVE `//` travelling harmonic wave. (d ) This equation is SUM of two FUNCTIONS each representing a stationary wave. Therefore it represents SUPERPOSITION of two stationary waves.

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