Home
Class 12
PHYSICS
Determine the resultant of two waves giv...

Determine the resultant of two waves given by `y_(1) = 4 sin(200 pi t) and y_(2) = 3 sin(200 pi t + pi//2)`.

Text Solution

AI Generated Solution

To determine the resultant of the two waves given by \( y_1 = 4 \sin(200 \pi t) \) and \( y_2 = 3 \sin(200 \pi t + \frac{\pi}{2}) \), we can follow these steps: ### Step 1: Rewrite the second wave The second wave \( y_2 \) can be rewritten using the sine and cosine identity. We know that: \[ \sin(x + \frac{\pi}{2}) = \cos(x) \] Thus, we can express \( y_2 \) as: ...
Promotional Banner

Topper's Solved these Questions

  • WAVE OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Solved Examples|10 Videos

  • WAVE OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 2.1|12 Videos

  • SOURCES OF MAGNETIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise single correct Ansewer type|12 Videos

Similar Questions

Explore conceptually related problems

Two sounding bolies are producing progressive waves given by y_(1) = 2 sin (400 pi t) and y_(2) = sin (404 pi t) where t is in second, which superpose near the ears of a persion. The person will hear

Two vibrating tuning forks produce progressive waves given by , y_(1) = 4 sin (500 pi t) and y_(2) = 2 sin (506 pi t) . These tuning forks are held near the ear of person . The person will hear

Two sounding bodies are producing progressive waves given by y_1 = 4 sin (400 pi t) and y_2 = 3 sin (404 pi t) , where t is in second which superpose near the ears of a person. The person will hear

Two vibrating tuning fork produce progressive waves given by y_(1) = 4 sin 500 pi t and y_(2) = 2 sin 506 pi t . Number of beats produced per minute is :-

Two standing bodies producing progressive waves are given by y_(1) = 4 sin 400 pi t and y_(2) = 3 sin 404 pi t One of these bodies situated very near to the ears of a person who will hear :

Two vibrating tuning forks producing waves given by y_(1) = 27 "sin" 600 pi t "and" y_(2) = 27 "sin" 604 pi t are held near the ear of a person, how many beats will be heard in three seconds by him ?

On the superposition of two waves [y_1 = 3 sin (50 pi t - 20x)] and [y_2 = 3sin (50pi t -20 x +(pi/3)] the equation resultant wave will be

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes