Resultant Amplitude

Q. Two sine waves travelling in the same direction through the same region, have equal frequencies, wavelengths and amplitudes. If the amplitude of each wave is 4 mm and the phase difference between the waves is 90${}^{\circ }$, what is the resultant amplitude?

1. 8 mm

2. 

3. 

4. 

Q. Two waves each having a frequency of 100 Hz and a wavelength of 2 cm are travelling in the same direction on a string. Both the waves were produced at the same instant but the first one was produced at a distance 4 cm behind the second one. If both waves have an amplitude of 2 mm what would be the amplitude of the resultant wave?

1. 2 mm

2. 0 mm

3. 3 mm

4. 4 mm

Q. Two waves, each having a frequency of 100 H${}_z$ and a wavelength of 2.0 cm, are travelling in the same direction on a string. What is the phase difference between the waves (a) if the second wave was produced 0.015 s later than the first one at the same place, what would be the resultant amplitude? [Given individual amplitudes = 2.0 mm]

1. 2 mm

2. 4 mm

3. 

4. zero

Q. Two waves of equal amplitude A, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is

1. 2A

2. between 0 and 2A

3. 0

4. A

Q. Two waves represented by $y=asin(\omega t-kx)$ and $y=acos(\omega t-kx)$ are superimposed. The resultant wave will have an amplitude

1. 2a

2. a

3. 

4. 0

Q.

Two waves passing through a region are represented by

$y=1.0cmsin\left[\right(3.14c{m}^{-1})x-(157s^{-1}\left)t\right]$

and $y=1.5cmsin\left[\right(1.57c{m}^{-1})x-(314s^{-1}\left)t\right]$

Find the displacement of the particle at x = 4.5 cm at time t = 5.0 ms.

1. - 0.35 cm

2. 0.35 cm

3. 

4. 

Q. Two sine waves travel in the same direction in a medium. The amplitude of each wave is A and the phase difference between the two waves is 120${}^{\circ }$. The resultant amplitude will be

1. 4A

2. A

3. 2A

4. 

Q.

Two waves represented by $y$ = $asin(wt-kx)$ and $y$ = $acos(wt-kx)$ are superposed. The resultant wave will have an amplitude

1. a

2. 2a

3. $\sqrt{2}a$

4. 0

Q. On the superposition of the two waves represented by equation,
$y_1=A\sin (\omega t-kx)$
$y_2=A\cos (\omega t-kx+\frac{\pi }{6})$
The resultant angular frequency of the oscillation will be

1. $\omega$
2. $2\omega$
3. $\frac{\omega }{2}$
4. $3\omega$

Q. Two wave with same frequency and wave number are propagating in the same direction. The ratio of their amplitude is $5:1$ . If interference occurs, the ratio of maximum and minimum intensity should be

1. $9:4$
2. $3:2$
3. $1:4$
4. $4:1$