# Resultant Amplitude

## Trending Questions

**Q.**y(x, t)=0.8[(4x+5t)2+5] represents a moving pulse where x and y are in metre and t in second. Then

- Pulse is moving in positive x−direction.
- In 2 second, it will travel a distance of 2.5 m
- Its maximum displacement is 0.16 m
- It is a symmetric pulse

**Q.**

The ratio of intensities of two waves is given by 4:1.The ratio of the amplitude of the waves is:

1:2

4:1

1:4

2:1

**Q.**

A source of sound operates at 2.0 kHz, 20 W emitting sound uniformly in all directions. The speed of sound in air is 340 m s and the density of air is 1.2kgm−3. (a) What is the intensity at a distance of 6.0 m from the source ? (b) What will be the pressure amplitude at this point ? (c) What will be the displacement amplitude at this point ?

**Q.**Two identical travelling waves, moving in the same direction, are out of phase by π2 rad. If amplitude of each wave is A, then find the resultant amplitude of the wave after superimposition.

- 1.6A
- 6A
- 2.16A
- 1.41A

**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

2A

between 0 and 2A

0

A

**Q.**

Two waves passing through a region are represented by

y = 1.0 cmsin [ (3.14 cm−1) x − (157 s−1)t]

and y = 1.5 cmsin [ (1.57 cm−1)x − (314 s−1) t]

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

- 0.35 cm

0.35 cm

**Q.**Two waves represented by equation y1=Asin(ωt−kx+ϕ1) and y2=Asin(ωt−kx+ϕ2) are superimposed such that the amplitude of resultant wave is A. Find the phase difference between them.

Given: (ϕ1>ϕ2)

- 120∘
- 135∘
- 90∘
- 60∘

**Q.**62. In ydse if intensity ratio of bright and dark fringes is 81:25 . The ratio intensity of two waves is ??

**Q.**Two sources of sound A and B produce waves of 350 Hz. The particle at point P is vibrating under the influence of these two waves. The amplitudes at the point P produced by the two waves are 0.3 mm and 0.4 mm. If AP−BP=25 cm and velocity of sound is 350 m/s, the resultant amplitude of the particle at point P will be

- 0.7 mm
- 0.2 mm
- 0.5 mm
- 0.1 mm

**Q.**

The displacement vs time graph for two waves A and B which travel along the same string are shown in the figure. Their intensity ratio IAIB is

**Q.**Three components of sinusoidal progressive waves travelling in the same direction along the same path having the same period, but with amplitudes are A, A/2 and A/3. The phase of the variation at any position x on their path at time t=0 are 0, −π/2 and π respectively. Find the amplitude and phase of the resultant wave

- 5A2, tan−1(4/3)
- 5A6, tan−1(4/3)
- 5A6, tan−1(3/4)
- 6A5, tan−1(2/3)

**Q.**Two waves are passing simultaneously through a string.

The equation of the waves are given by,

y1=A1sink(x−vt)

and y2=A2sink(x−vt+x0)

Where the wave number k=6.28 cm−1 and x0=1.50 cm The amplitudes are A1=5.0 mm and A2=4.0 mm. Find the phase difference between the waves and the amplitude of the resulting wave.

- 2π and 1 mm
- 3π and 1 mm
- π and 2 mm
- π and 0.5 mm

**Q.**Two waves y1=Asin(ωt−kx) and y2=Asin(ωt−kx+ϕ) are superimposed such that the resultant amplitude of oscillation is √2A, then the value of ϕ is

- π2
- π4
- π3
- π6

**Q.**On the superposition of the two waves represented by equation y1=Asin(ωt−kx) and y2=Asin(ωt−kx+π4), the resultant amplitude of oscillation will be:

- A√2
- A√2+√3
- A√2+√2
- A√1+√2

**Q.**On the superposition of the two waves represented by equation,

y1=Asin(ωt−kx)

y2=Acos(ωt−kx+π6)

The resultant angular frequency of the oscillation will be

- ω
- 2ω
- ω2
- 3ω

**Q.**Two waves of equal amplitude (A), frequency (f) and intensity (I) propagate along the same direction in a medium. The intensity of resultant wave will be:

- 0
- 2I
- Between 0 and 4I
- 4I

**Q.**In the YDSE, the point source is placed slightly off the central axis, as shown in the figure. Find the nature & order of the interference at point P (λ=500 nm).

- Maxima, 70
- Minima, 120
- Maxima, 120
- Minima, 70

**Q.**Two monochromatic sinusoidal waves, each of intensity I, have a constant phase difference of ϕ. These waves when superimposed, form a resultant sinusoidal wave. Then, the intensity of the resultant wave is

- 4Icosϕ
- 4Icos2ϕ
- 4I
- 4Icos2(ϕ2)

**Q.**A wave is represented by y1=10cos(5x+25t), where x and y are measured in centimetres and t in seconds. A second wave for which

y2=20cos(5x+25t+π/3) interferes with the first wave. Find the amplitude and phase of the resultant wave.

- 26.46 cm, 0.71 rad
- 28.50 cm, 1 rad
- 30.46 cm, 0.6 rad
- 30 cm, 0.71 rad

**Q.**Ratio of intensities of two light waves is given by 4 : 1. The ratio of the amplitudes of the waves is:

- 2 : 1
- 1 : 2
- 4 : 1
- 1 : 4

**Q.**Two sinusoidal waves each of amplitude 2A, travel in the same direction in a medium. If the phase difference between the two waves is 120∘, then find the resultant amplitude of the superimposed wave.

- 3√2A
- 2A
- √2A
- 3A

**Q.**Two sinusoidal waves produced by two vibrating sources A and B of equal frequencies, are propagating to the point P along a straight line. The amplitude of every wave at P is ′a′ and the phase of A is ahead by π3 than that of B. The distance AP is greater than BP by 50 cm. If the wavelength is 1 m, then the resultant amplitude at the point P will be

- 2a
- a√2
- a
- a√3

**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

- 9:4
- 3:2
- 1:4
- 4:1

**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?

2 mm

0 mm

3 mm

4 mm

**Q.**

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

a

√2a

2a

0

**Q.**In the setup shown in the figure (D>>d) and d=4λ. Find the total number of maxima on the screen.

- 5
- 6
- 7
- 8

**Q.**On the superposition of the two waves given as y1=A0sin(ωt−kx) and y2=A0cos(ωt−kx+π6) the resultant amplitude of oscillation will be

- A02
- A0
- √3A0
- 32A0

**Q.**

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

a

2a

√2a

0

**Q.**The amplitudes of two interfering waves are 4cm and 3cm respectively. If the resultant amplitude is 1cm then the interference becomes

- constructive
- Destructive
- Both constructive and destructive
- given data is insufficient

**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∘. The resultant amplitude will be

4A

A

2A