If `y=5(mm) sin pi t` is equation of oscillation of source `S_(1)` and `y_(2) = 5 (mm) sin pi//6)` be that of `S_(2)` and it takes `1 sec` and `^(1//_(2 sec)` for the transverse waves to reach point `A` from source `S_(1)` and `S_(2)` respectively then the resulting amplitude at point `A`, is
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Two waves are represented by y_(1)= a sin (omega t + ( pi)/(6)) and y_(2) = a cos omega t . What will be their resultant amplitude

In the case of light waves from two coherent sources S_(1) and S_(2) , there will be constructive interference at an arbitrary point P, the path difference S_(1)P - S_(2)P is

Ratio waves originating from sources S_(1) and S_(2) having zero phase difference and common wavelength lambda will show completely destructive interference at a point P is S_(1)P-S_(2)P is

Find the ratio of intensities at the two points X and Y on a screen in Young's double slit experiment, where waves from the two source S_(1) and S_(2) have path difference of zero, and lambda//4 respectively.

The phase difference between two waves reaching a point is pi//2 . What is the resultant amplitude, if the individual amplitudes are 3mm and 4mm ?

S_1 and S_2 are two coherent sources of radiations separated by distance 100.25 lambda , where lambda is the wave length of radiation. S_1 leads S_2 in phase by pi//2 .A and B are two points on the line joining S_1 and S_2 as shown in figure.The ratio of amplitudes of component waves from source S_1 and S_2 at A and B are in ratio 1:2. The ratio of intensity at A to that of B (I_A/I_B) is

The resultant loudness at a point P is n dB higher than the loudness of S_1 whoch is one of the two identical sound sources S_1 and S_2 reaching at that point in phase. Find the value of n.

In the figure shown A and B are two ends of a string of length 100m . S_(1) and S_(2) are two sources due to which point 'A' and 'B' oscillate in 'y' and 'z' directions respectively according to the equation y = 2 sin (100 pi t + 30^(@)) and z = 3 sin (100 pi t + 60^(@)) where t is in sec and y is in mm . The speed of propagation of disturbance along the string is 50 m//s . Find the instantaneous positions vector (in mm ) and velocity vector in (m//s) of a particle 'P' of string which is at 25m from A . You have to find these parameters after both the disturbance from S_(1) and S_(2) have reached 'P' . Also find the phase difference between the waves at the point 'P' when they meet at 'P' first time.