CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Intro to Standing Waves

If the two wa...

Question

If the two waves represented by $y_{1} = 4 s i n ω t$ and $y_{2} = 3 s i n (ω t + π / 3)$ interfere at a point, the amplitude of the resulting wave will be about

A

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

3.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $6$
$ϕ = π / 3, a_{1} = 4, a_{2} = 3$
So, $A = \sqrt{a_{1}^{2} + a_{2}^{2} + 2 a_{1} . a_{2} cos ϕ} \Rightarrow A \approx 6$

Suggest Corrections

thumbs-up

0

Similar questions

Q. If two waves, originating from sources represented by

y_{1} = 4 sin (ω t)

y_{2} = 3 sin (ω t + \frac{π}{3})

interfere at a point. The amplitude of that point will be about,

Q. Two light waves are represented by

y_{1} = 3 sin ω t

y_{2} = 4 sin (ω t + \frac{π}{3})

. The resultant amplitude due to interference will be

Q. Two waves interfere at a point. Vibrations due to the waves at that point can be represented by

y_{1} = 4 sin ω t

y_{2} = 3 sin (ω t + \frac{π}{3})

. The amplitude of the resulting wave is nearly

Q. Two waves interfere at a point. Vibrations due to the waves at that point can be represented by

y_{1} = 4 sin ω t

y_{2} = 3 sin (ω t + \frac{π}{3})

. The amplitude of the resulting wave is nearly

Q. If two waves represented by

y_{1} = 4 sin ω t

y_{2} = 3 sin (ω t + \frac{π}{3})

y_{1}, y_{2}

cm

t

sec

),
interfere at a point, the resultant amplitude of that point will be about,

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Standing Waves

PHYSICS

Watch in App

explore_more_icon

Explore more

Intro to Standing Waves

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon