Characteristics of Progressive Waves
PHXI15:WAVES

354506 Two points on a travelling wave having frequency \(500\;Hz\) and velocity \(300\;m/s\) are \(60^{\circ}\) out of phase, then the minimum distance between the two points is

1 0.2
2 0.1
3 0.5
4 0.4
PHXI15:WAVES

354507 In a transverse wave the distance between crest and neighbouring trough at the same instant is 4 \(cm\) and the distance between a crest and trough at the same place is \(1.0\;cm\). The next crest appears at the same place after a time intervel of \(0.4\;s\). The maximum speed of the vibrating particles in the medium is:

1 \(\frac{{3\pi }}{2}\;cm/s\)
2 \(\frac{{5\pi }}{2}\;cm/s\)
3 \(\frac{\pi }{2}\;cm/s\)
4 \(2\pi \,cm/s\)
PHXI15:WAVES

354508 The path difference between the two waves \(y_{1}=a_{1} \sin \left(\omega t-\dfrac{2 \pi x}{\lambda}\right)\) and \(y_{2}=a_{2} \cos \left(\omega t-\dfrac{2 \pi x}{\lambda}+\phi\right)\) is

1 \(\dfrac{\lambda}{2 \pi} \phi\)
2 \(\dfrac{\lambda}{2 \pi}\left(\phi+\dfrac{\pi}{2}\right)\)
3 \(\dfrac{2 \pi}{\lambda}\left(\phi-\dfrac{\pi}{2}\right)\)
4 \(\dfrac{2 \pi}{\lambda} \phi\)
PHXI15:WAVES

354509 The phase difference between two waves, represented by
\({y_1} = {10^{ - 6}}\sin \{ 100t + (x/50) + 0.5\} m\)
\({y_2} = {10^{ - 6}}\cos \{ 100t + (x/50)\} m\)
Where \(x\) is expressed in meters and \(t\) is expressed in seconds, is approximately:

1 1.07 radians
2 1.5 radians
3 0.5 radians
4 2.07 radians
PHXI15:WAVES

354510 The equation \(y=A \cos ^{2}\left(2 \pi n t-2 \pi \dfrac{x}{\lambda}\right)\) represents a wave with

1 Amplitude \(A\), frequaency \(n\) and wavelength \(\lambda\)
2 Amplitude \(A/2,\) frequency \(2n\) and wavelength \(\dfrac{\lambda}{2}\)
3 Amplitude \(A / 2\), frequency \(2 n\) and wavelength \(\lambda\)
4 Amplitude \(A/2\), frequency \(2n\) and wavelength \(2 \lambda s\)
PHXI15:WAVES

354506 Two points on a travelling wave having frequency \(500\;Hz\) and velocity \(300\;m/s\) are \(60^{\circ}\) out of phase, then the minimum distance between the two points is

1 0.2
2 0.1
3 0.5
4 0.4
PHXI15:WAVES

354507 In a transverse wave the distance between crest and neighbouring trough at the same instant is 4 \(cm\) and the distance between a crest and trough at the same place is \(1.0\;cm\). The next crest appears at the same place after a time intervel of \(0.4\;s\). The maximum speed of the vibrating particles in the medium is:

1 \(\frac{{3\pi }}{2}\;cm/s\)
2 \(\frac{{5\pi }}{2}\;cm/s\)
3 \(\frac{\pi }{2}\;cm/s\)
4 \(2\pi \,cm/s\)
PHXI15:WAVES

354508 The path difference between the two waves \(y_{1}=a_{1} \sin \left(\omega t-\dfrac{2 \pi x}{\lambda}\right)\) and \(y_{2}=a_{2} \cos \left(\omega t-\dfrac{2 \pi x}{\lambda}+\phi\right)\) is

1 \(\dfrac{\lambda}{2 \pi} \phi\)
2 \(\dfrac{\lambda}{2 \pi}\left(\phi+\dfrac{\pi}{2}\right)\)
3 \(\dfrac{2 \pi}{\lambda}\left(\phi-\dfrac{\pi}{2}\right)\)
4 \(\dfrac{2 \pi}{\lambda} \phi\)
PHXI15:WAVES

354509 The phase difference between two waves, represented by
\({y_1} = {10^{ - 6}}\sin \{ 100t + (x/50) + 0.5\} m\)
\({y_2} = {10^{ - 6}}\cos \{ 100t + (x/50)\} m\)
Where \(x\) is expressed in meters and \(t\) is expressed in seconds, is approximately:

1 1.07 radians
2 1.5 radians
3 0.5 radians
4 2.07 radians
PHXI15:WAVES

354510 The equation \(y=A \cos ^{2}\left(2 \pi n t-2 \pi \dfrac{x}{\lambda}\right)\) represents a wave with

1 Amplitude \(A\), frequaency \(n\) and wavelength \(\lambda\)
2 Amplitude \(A/2,\) frequency \(2n\) and wavelength \(\dfrac{\lambda}{2}\)
3 Amplitude \(A / 2\), frequency \(2 n\) and wavelength \(\lambda\)
4 Amplitude \(A/2\), frequency \(2n\) and wavelength \(2 \lambda s\)
PHXI15:WAVES

354506 Two points on a travelling wave having frequency \(500\;Hz\) and velocity \(300\;m/s\) are \(60^{\circ}\) out of phase, then the minimum distance between the two points is

1 0.2
2 0.1
3 0.5
4 0.4
PHXI15:WAVES

354507 In a transverse wave the distance between crest and neighbouring trough at the same instant is 4 \(cm\) and the distance between a crest and trough at the same place is \(1.0\;cm\). The next crest appears at the same place after a time intervel of \(0.4\;s\). The maximum speed of the vibrating particles in the medium is:

1 \(\frac{{3\pi }}{2}\;cm/s\)
2 \(\frac{{5\pi }}{2}\;cm/s\)
3 \(\frac{\pi }{2}\;cm/s\)
4 \(2\pi \,cm/s\)
PHXI15:WAVES

354508 The path difference between the two waves \(y_{1}=a_{1} \sin \left(\omega t-\dfrac{2 \pi x}{\lambda}\right)\) and \(y_{2}=a_{2} \cos \left(\omega t-\dfrac{2 \pi x}{\lambda}+\phi\right)\) is

1 \(\dfrac{\lambda}{2 \pi} \phi\)
2 \(\dfrac{\lambda}{2 \pi}\left(\phi+\dfrac{\pi}{2}\right)\)
3 \(\dfrac{2 \pi}{\lambda}\left(\phi-\dfrac{\pi}{2}\right)\)
4 \(\dfrac{2 \pi}{\lambda} \phi\)
PHXI15:WAVES

354509 The phase difference between two waves, represented by
\({y_1} = {10^{ - 6}}\sin \{ 100t + (x/50) + 0.5\} m\)
\({y_2} = {10^{ - 6}}\cos \{ 100t + (x/50)\} m\)
Where \(x\) is expressed in meters and \(t\) is expressed in seconds, is approximately:

1 1.07 radians
2 1.5 radians
3 0.5 radians
4 2.07 radians
PHXI15:WAVES

354510 The equation \(y=A \cos ^{2}\left(2 \pi n t-2 \pi \dfrac{x}{\lambda}\right)\) represents a wave with

1 Amplitude \(A\), frequaency \(n\) and wavelength \(\lambda\)
2 Amplitude \(A/2,\) frequency \(2n\) and wavelength \(\dfrac{\lambda}{2}\)
3 Amplitude \(A / 2\), frequency \(2 n\) and wavelength \(\lambda\)
4 Amplitude \(A/2\), frequency \(2n\) and wavelength \(2 \lambda s\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI15:WAVES

354506 Two points on a travelling wave having frequency \(500\;Hz\) and velocity \(300\;m/s\) are \(60^{\circ}\) out of phase, then the minimum distance between the two points is

1 0.2
2 0.1
3 0.5
4 0.4
PHXI15:WAVES

354507 In a transverse wave the distance between crest and neighbouring trough at the same instant is 4 \(cm\) and the distance between a crest and trough at the same place is \(1.0\;cm\). The next crest appears at the same place after a time intervel of \(0.4\;s\). The maximum speed of the vibrating particles in the medium is:

1 \(\frac{{3\pi }}{2}\;cm/s\)
2 \(\frac{{5\pi }}{2}\;cm/s\)
3 \(\frac{\pi }{2}\;cm/s\)
4 \(2\pi \,cm/s\)
PHXI15:WAVES

354508 The path difference between the two waves \(y_{1}=a_{1} \sin \left(\omega t-\dfrac{2 \pi x}{\lambda}\right)\) and \(y_{2}=a_{2} \cos \left(\omega t-\dfrac{2 \pi x}{\lambda}+\phi\right)\) is

1 \(\dfrac{\lambda}{2 \pi} \phi\)
2 \(\dfrac{\lambda}{2 \pi}\left(\phi+\dfrac{\pi}{2}\right)\)
3 \(\dfrac{2 \pi}{\lambda}\left(\phi-\dfrac{\pi}{2}\right)\)
4 \(\dfrac{2 \pi}{\lambda} \phi\)
PHXI15:WAVES

354509 The phase difference between two waves, represented by
\({y_1} = {10^{ - 6}}\sin \{ 100t + (x/50) + 0.5\} m\)
\({y_2} = {10^{ - 6}}\cos \{ 100t + (x/50)\} m\)
Where \(x\) is expressed in meters and \(t\) is expressed in seconds, is approximately:

1 1.07 radians
2 1.5 radians
3 0.5 radians
4 2.07 radians
PHXI15:WAVES

354510 The equation \(y=A \cos ^{2}\left(2 \pi n t-2 \pi \dfrac{x}{\lambda}\right)\) represents a wave with

1 Amplitude \(A\), frequaency \(n\) and wavelength \(\lambda\)
2 Amplitude \(A/2,\) frequency \(2n\) and wavelength \(\dfrac{\lambda}{2}\)
3 Amplitude \(A / 2\), frequency \(2 n\) and wavelength \(\lambda\)
4 Amplitude \(A/2\), frequency \(2n\) and wavelength \(2 \lambda s\)
PHXI15:WAVES

354506 Two points on a travelling wave having frequency \(500\;Hz\) and velocity \(300\;m/s\) are \(60^{\circ}\) out of phase, then the minimum distance between the two points is

1 0.2
2 0.1
3 0.5
4 0.4
PHXI15:WAVES

354507 In a transverse wave the distance between crest and neighbouring trough at the same instant is 4 \(cm\) and the distance between a crest and trough at the same place is \(1.0\;cm\). The next crest appears at the same place after a time intervel of \(0.4\;s\). The maximum speed of the vibrating particles in the medium is:

1 \(\frac{{3\pi }}{2}\;cm/s\)
2 \(\frac{{5\pi }}{2}\;cm/s\)
3 \(\frac{\pi }{2}\;cm/s\)
4 \(2\pi \,cm/s\)
PHXI15:WAVES

354508 The path difference between the two waves \(y_{1}=a_{1} \sin \left(\omega t-\dfrac{2 \pi x}{\lambda}\right)\) and \(y_{2}=a_{2} \cos \left(\omega t-\dfrac{2 \pi x}{\lambda}+\phi\right)\) is

1 \(\dfrac{\lambda}{2 \pi} \phi\)
2 \(\dfrac{\lambda}{2 \pi}\left(\phi+\dfrac{\pi}{2}\right)\)
3 \(\dfrac{2 \pi}{\lambda}\left(\phi-\dfrac{\pi}{2}\right)\)
4 \(\dfrac{2 \pi}{\lambda} \phi\)
PHXI15:WAVES

354509 The phase difference between two waves, represented by
\({y_1} = {10^{ - 6}}\sin \{ 100t + (x/50) + 0.5\} m\)
\({y_2} = {10^{ - 6}}\cos \{ 100t + (x/50)\} m\)
Where \(x\) is expressed in meters and \(t\) is expressed in seconds, is approximately:

1 1.07 radians
2 1.5 radians
3 0.5 radians
4 2.07 radians
PHXI15:WAVES

354510 The equation \(y=A \cos ^{2}\left(2 \pi n t-2 \pi \dfrac{x}{\lambda}\right)\) represents a wave with

1 Amplitude \(A\), frequaency \(n\) and wavelength \(\lambda\)
2 Amplitude \(A/2,\) frequency \(2n\) and wavelength \(\dfrac{\lambda}{2}\)
3 Amplitude \(A / 2\), frequency \(2 n\) and wavelength \(\lambda\)
4 Amplitude \(A/2\), frequency \(2n\) and wavelength \(2 \lambda s\)