Two waves represented by y = a sin(ωt - kx) and y = a cos(ωt - kx) are superposed. The resultant wave will have an amplitude

Solution: cos x + sinx = √ 2 cos x , then (√2 -1 ) cos  x = sin x on multiplying both sides by (√2+1) , we get (√2+1)(√2-1) cos x  = ...

Solution: cos(π/4 - x) cos(π/4 - y) - sin(π/4 - x)sin(π/4 - y) Using formula: cosA.cosB-sinA.sinB=cos(A+B) cos(π/4 - x) cos(π/4 - y) - sin(π/4 - x)sin(π/4 - y) =cos{(π/4 - x)+(π/4 - y)} =cos{π/4 -...

We have cos(n+1)xcos(n+2)x + sin(n+1)xsin(n+2)x it is from the identity cos(a-b) = cosa * cosb + sina * sinb here a= (n+1)x  and b= (n+2)x so, = cos((n+1)x-(n+2)x) = cos(nx+x-nx-2x) = cos(-x) = cosx { since cos(-x) = cosx...

Ultrasonic waves are those waves which have frequency more than 20 kHz.  Bats use ultrasonic waves to fly and search for their prey at night without colliding.  Bat produces ultrasound waves in...

Find the value​ of it

(d) between 0 and 2A. EXPLANATION:  The amplitude of the resultant wave depends on the phase difference between the two waves. If the phase difference is zero then the resultant amplitude is...

The correct answer is (a) A EXPLANATION:   The resultant amplitude   y = A sin(⍵t-kx) + A sin(⍵t-kx+120°)    →y = 2A Sin(⍵t-kx+60°)*cos60°    →y = A sin(⍵t-kx+60°)      Hence the resultant amplitude is A.

(i) Heat waves: As heat waves are transverse or electromagnetic in nature.

To avoid mixing up of signals from different transmitters. This can be done by modulating the signals on high frequency carrier waves, e.g. frequency band for satellite communication is 5.925–...