Super Position Principle of Wave
WAVES

172350 The equations of two waves are given by:
$\mathrm{y}_{1}=5 \sin 2 \pi(\mathrm{x}-\mathrm{vt}) \mathrm{cm}$
$y_{2}=3 \sin 2 \pi(x-v t+1.5) \mathrm{cm}$
These waves are simultaneously passing through a string. The amplitude of the resulting waves is:

1 $2 \mathrm{~cm}$
2 $4 \mathrm{~cm}$
3 $5.8 \mathrm{~cm}$
4 $8 \mathrm{~cm}$
WAVES

172351 Two waves of amplitudes $A_{1}$ and $A_{2}$ respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is 9: 4. The value of $\frac{A_{2}}{A_{1}}$ is [Assume $A_{1}>A_{2}$ ]

1 0.66
2 0.20
3 0.75
4 0.44
WAVES

172352 The sources of sound $A$ and $B$ produce a wave of $350 \mathrm{~Hz}$ in same phase. A particle $P$ is vibrating under an influence of these two waves. If the amplitudes at $P$ produced by the two waves is $0.3 \mathrm{~mm}$ and $0.4 \mathrm{~mm}$, the resultant amplitude of the point will be, when $A P-B P=$ $25 \mathrm{~cm}$ and the velocity of sound is $350 \mathrm{~m} . \mathrm{s}^{-1}$,

1 $0.7 \mathrm{~mm}$
2 $0.1 \mathrm{~mm}$
3 $0.2 \mathrm{~mm}$
4 $0.5 \mathrm{~mm}$
WAVES

172354 The amplitude of the wave resulting from the superposition of three waves given by
$x_{1}=A \cos \omega t, x_{2}=2 A \sin \omega t$ and
$x_{3}=\sqrt{2} A \cos \left(\omega t+\frac{\pi}{4}\right)$ is

1 $\sqrt{7} \mathrm{~A}$
2 $\sqrt{5} \mathrm{~A}$
3 $(3+\sqrt{2}) \mathrm{A}$
4 $\sqrt{2} \mathrm{~A}$
WAVES

172355 Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelengths of each progressive wave is ' $\lambda$ '. The wavelength of the stationary wave is

1 $\frac{\lambda}{4}$
2 $2 \lambda$
3 $\frac{\lambda}{2}$
4 $\lambda$
WAVES

172350 The equations of two waves are given by:
$\mathrm{y}_{1}=5 \sin 2 \pi(\mathrm{x}-\mathrm{vt}) \mathrm{cm}$
$y_{2}=3 \sin 2 \pi(x-v t+1.5) \mathrm{cm}$
These waves are simultaneously passing through a string. The amplitude of the resulting waves is:

1 $2 \mathrm{~cm}$
2 $4 \mathrm{~cm}$
3 $5.8 \mathrm{~cm}$
4 $8 \mathrm{~cm}$
WAVES

172351 Two waves of amplitudes $A_{1}$ and $A_{2}$ respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is 9: 4. The value of $\frac{A_{2}}{A_{1}}$ is [Assume $A_{1}>A_{2}$ ]

1 0.66
2 0.20
3 0.75
4 0.44
WAVES

172352 The sources of sound $A$ and $B$ produce a wave of $350 \mathrm{~Hz}$ in same phase. A particle $P$ is vibrating under an influence of these two waves. If the amplitudes at $P$ produced by the two waves is $0.3 \mathrm{~mm}$ and $0.4 \mathrm{~mm}$, the resultant amplitude of the point will be, when $A P-B P=$ $25 \mathrm{~cm}$ and the velocity of sound is $350 \mathrm{~m} . \mathrm{s}^{-1}$,

1 $0.7 \mathrm{~mm}$
2 $0.1 \mathrm{~mm}$
3 $0.2 \mathrm{~mm}$
4 $0.5 \mathrm{~mm}$
WAVES

172354 The amplitude of the wave resulting from the superposition of three waves given by
$x_{1}=A \cos \omega t, x_{2}=2 A \sin \omega t$ and
$x_{3}=\sqrt{2} A \cos \left(\omega t+\frac{\pi}{4}\right)$ is

1 $\sqrt{7} \mathrm{~A}$
2 $\sqrt{5} \mathrm{~A}$
3 $(3+\sqrt{2}) \mathrm{A}$
4 $\sqrt{2} \mathrm{~A}$
WAVES

172355 Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelengths of each progressive wave is ' $\lambda$ '. The wavelength of the stationary wave is

1 $\frac{\lambda}{4}$
2 $2 \lambda$
3 $\frac{\lambda}{2}$
4 $\lambda$
WAVES

172350 The equations of two waves are given by:
$\mathrm{y}_{1}=5 \sin 2 \pi(\mathrm{x}-\mathrm{vt}) \mathrm{cm}$
$y_{2}=3 \sin 2 \pi(x-v t+1.5) \mathrm{cm}$
These waves are simultaneously passing through a string. The amplitude of the resulting waves is:

1 $2 \mathrm{~cm}$
2 $4 \mathrm{~cm}$
3 $5.8 \mathrm{~cm}$
4 $8 \mathrm{~cm}$
WAVES

172351 Two waves of amplitudes $A_{1}$ and $A_{2}$ respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is 9: 4. The value of $\frac{A_{2}}{A_{1}}$ is [Assume $A_{1}>A_{2}$ ]

1 0.66
2 0.20
3 0.75
4 0.44
WAVES

172352 The sources of sound $A$ and $B$ produce a wave of $350 \mathrm{~Hz}$ in same phase. A particle $P$ is vibrating under an influence of these two waves. If the amplitudes at $P$ produced by the two waves is $0.3 \mathrm{~mm}$ and $0.4 \mathrm{~mm}$, the resultant amplitude of the point will be, when $A P-B P=$ $25 \mathrm{~cm}$ and the velocity of sound is $350 \mathrm{~m} . \mathrm{s}^{-1}$,

1 $0.7 \mathrm{~mm}$
2 $0.1 \mathrm{~mm}$
3 $0.2 \mathrm{~mm}$
4 $0.5 \mathrm{~mm}$
WAVES

172354 The amplitude of the wave resulting from the superposition of three waves given by
$x_{1}=A \cos \omega t, x_{2}=2 A \sin \omega t$ and
$x_{3}=\sqrt{2} A \cos \left(\omega t+\frac{\pi}{4}\right)$ is

1 $\sqrt{7} \mathrm{~A}$
2 $\sqrt{5} \mathrm{~A}$
3 $(3+\sqrt{2}) \mathrm{A}$
4 $\sqrt{2} \mathrm{~A}$
WAVES

172355 Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelengths of each progressive wave is ' $\lambda$ '. The wavelength of the stationary wave is

1 $\frac{\lambda}{4}$
2 $2 \lambda$
3 $\frac{\lambda}{2}$
4 $\lambda$
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WAVES

172350 The equations of two waves are given by:
$\mathrm{y}_{1}=5 \sin 2 \pi(\mathrm{x}-\mathrm{vt}) \mathrm{cm}$
$y_{2}=3 \sin 2 \pi(x-v t+1.5) \mathrm{cm}$
These waves are simultaneously passing through a string. The amplitude of the resulting waves is:

1 $2 \mathrm{~cm}$
2 $4 \mathrm{~cm}$
3 $5.8 \mathrm{~cm}$
4 $8 \mathrm{~cm}$
WAVES

172351 Two waves of amplitudes $A_{1}$ and $A_{2}$ respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is 9: 4. The value of $\frac{A_{2}}{A_{1}}$ is [Assume $A_{1}>A_{2}$ ]

1 0.66
2 0.20
3 0.75
4 0.44
WAVES

172352 The sources of sound $A$ and $B$ produce a wave of $350 \mathrm{~Hz}$ in same phase. A particle $P$ is vibrating under an influence of these two waves. If the amplitudes at $P$ produced by the two waves is $0.3 \mathrm{~mm}$ and $0.4 \mathrm{~mm}$, the resultant amplitude of the point will be, when $A P-B P=$ $25 \mathrm{~cm}$ and the velocity of sound is $350 \mathrm{~m} . \mathrm{s}^{-1}$,

1 $0.7 \mathrm{~mm}$
2 $0.1 \mathrm{~mm}$
3 $0.2 \mathrm{~mm}$
4 $0.5 \mathrm{~mm}$
WAVES

172354 The amplitude of the wave resulting from the superposition of three waves given by
$x_{1}=A \cos \omega t, x_{2}=2 A \sin \omega t$ and
$x_{3}=\sqrt{2} A \cos \left(\omega t+\frac{\pi}{4}\right)$ is

1 $\sqrt{7} \mathrm{~A}$
2 $\sqrt{5} \mathrm{~A}$
3 $(3+\sqrt{2}) \mathrm{A}$
4 $\sqrt{2} \mathrm{~A}$
WAVES

172355 Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelengths of each progressive wave is ' $\lambda$ '. The wavelength of the stationary wave is

1 $\frac{\lambda}{4}$
2 $2 \lambda$
3 $\frac{\lambda}{2}$
4 $\lambda$
WAVES

172350 The equations of two waves are given by:
$\mathrm{y}_{1}=5 \sin 2 \pi(\mathrm{x}-\mathrm{vt}) \mathrm{cm}$
$y_{2}=3 \sin 2 \pi(x-v t+1.5) \mathrm{cm}$
These waves are simultaneously passing through a string. The amplitude of the resulting waves is:

1 $2 \mathrm{~cm}$
2 $4 \mathrm{~cm}$
3 $5.8 \mathrm{~cm}$
4 $8 \mathrm{~cm}$
WAVES

172351 Two waves of amplitudes $A_{1}$ and $A_{2}$ respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is 9: 4. The value of $\frac{A_{2}}{A_{1}}$ is [Assume $A_{1}>A_{2}$ ]

1 0.66
2 0.20
3 0.75
4 0.44
WAVES

172352 The sources of sound $A$ and $B$ produce a wave of $350 \mathrm{~Hz}$ in same phase. A particle $P$ is vibrating under an influence of these two waves. If the amplitudes at $P$ produced by the two waves is $0.3 \mathrm{~mm}$ and $0.4 \mathrm{~mm}$, the resultant amplitude of the point will be, when $A P-B P=$ $25 \mathrm{~cm}$ and the velocity of sound is $350 \mathrm{~m} . \mathrm{s}^{-1}$,

1 $0.7 \mathrm{~mm}$
2 $0.1 \mathrm{~mm}$
3 $0.2 \mathrm{~mm}$
4 $0.5 \mathrm{~mm}$
WAVES

172354 The amplitude of the wave resulting from the superposition of three waves given by
$x_{1}=A \cos \omega t, x_{2}=2 A \sin \omega t$ and
$x_{3}=\sqrt{2} A \cos \left(\omega t+\frac{\pi}{4}\right)$ is

1 $\sqrt{7} \mathrm{~A}$
2 $\sqrt{5} \mathrm{~A}$
3 $(3+\sqrt{2}) \mathrm{A}$
4 $\sqrt{2} \mathrm{~A}$
WAVES

172355 Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelengths of each progressive wave is ' $\lambda$ '. The wavelength of the stationary wave is

1 $\frac{\lambda}{4}$
2 $2 \lambda$
3 $\frac{\lambda}{2}$
4 $\lambda$