Characteristics of Progressive Waves
PHXI15:WAVES

354558 The equation of a transverse wave is given by \({y=10 \sin \pi(0.01 x-2 t)}\) where \({x}\) and \({y}\) are in cm and \({t}\) is in seconds. Its frequency is

1 \({0.01 {~s}^{-1}}\)
2 \(1.0\;{s^{ - 1}}\)
3 \({2 {~s}^{-1}}\)
4 \({10 {~s}^{-1}}\)
PHXI15:WAVES

354559 A longitudinal harmonic wave is travelling along positive \(x\) direction. The amplitude, wavelength and frequency of the wave are \(8.0 \times 10^{-3} {~m}, 12 {~cm}\) and 6800 \(Hz\) respectively. The displacement (\(s\)) versus position graph for particles on the \(x\)-axis at an instant of time has been shown in the figure. Find the separation at the instant shown, between the particles which were originally at \(x_{1}=1 {~cm}\) and \(x_{2}=3 {~cm}\).
supporting img

1 \(3.5\,cm\)
2 \(7.2\,cm\)
3 \(2.4\,cm\)
4 \(1.5\,cm\)
PHXI15:WAVES

354560 The equation of a simple harmonic wave is given by
\({y=3 \sin \dfrac{\pi}{2}(50 t-x)}\), where \({x}\) and \({y}\) are in metres and \({t}\) is in seconds. The ratio of maximum particle velocity to the wave velocity is

1 \({3 \pi}\)
2 \({\dfrac{2}{3} \pi}\)
3 \({2 \pi}\)
4 \({\dfrac{3}{2} \pi}\)
PHXI15:WAVES

354561 A wave equation which gives the displacement along \(y\)-direction is given by \(y=10^{-4} \sin (60 t+x)\), where \(x\) and \(y\) are in metre and \(t\) is time in second. This represents as wave

1 Travelling with a velocity of \(300\;m{s^{ - 1}}\) in the -ve \(x\)-direction
2 Of wavelength \(\pi\) metre
3 Of frequency \(\frac{{30}}{\pi }Hz\)
4 Of amplitude \({10^4}\;m\) travelling along the positive \(x\)-direction
PHXI15:WAVES

354558 The equation of a transverse wave is given by \({y=10 \sin \pi(0.01 x-2 t)}\) where \({x}\) and \({y}\) are in cm and \({t}\) is in seconds. Its frequency is

1 \({0.01 {~s}^{-1}}\)
2 \(1.0\;{s^{ - 1}}\)
3 \({2 {~s}^{-1}}\)
4 \({10 {~s}^{-1}}\)
PHXI15:WAVES

354559 A longitudinal harmonic wave is travelling along positive \(x\) direction. The amplitude, wavelength and frequency of the wave are \(8.0 \times 10^{-3} {~m}, 12 {~cm}\) and 6800 \(Hz\) respectively. The displacement (\(s\)) versus position graph for particles on the \(x\)-axis at an instant of time has been shown in the figure. Find the separation at the instant shown, between the particles which were originally at \(x_{1}=1 {~cm}\) and \(x_{2}=3 {~cm}\).
supporting img

1 \(3.5\,cm\)
2 \(7.2\,cm\)
3 \(2.4\,cm\)
4 \(1.5\,cm\)
PHXI15:WAVES

354560 The equation of a simple harmonic wave is given by
\({y=3 \sin \dfrac{\pi}{2}(50 t-x)}\), where \({x}\) and \({y}\) are in metres and \({t}\) is in seconds. The ratio of maximum particle velocity to the wave velocity is

1 \({3 \pi}\)
2 \({\dfrac{2}{3} \pi}\)
3 \({2 \pi}\)
4 \({\dfrac{3}{2} \pi}\)
PHXI15:WAVES

354561 A wave equation which gives the displacement along \(y\)-direction is given by \(y=10^{-4} \sin (60 t+x)\), where \(x\) and \(y\) are in metre and \(t\) is time in second. This represents as wave

1 Travelling with a velocity of \(300\;m{s^{ - 1}}\) in the -ve \(x\)-direction
2 Of wavelength \(\pi\) metre
3 Of frequency \(\frac{{30}}{\pi }Hz\)
4 Of amplitude \({10^4}\;m\) travelling along the positive \(x\)-direction
PHXI15:WAVES

354558 The equation of a transverse wave is given by \({y=10 \sin \pi(0.01 x-2 t)}\) where \({x}\) and \({y}\) are in cm and \({t}\) is in seconds. Its frequency is

1 \({0.01 {~s}^{-1}}\)
2 \(1.0\;{s^{ - 1}}\)
3 \({2 {~s}^{-1}}\)
4 \({10 {~s}^{-1}}\)
PHXI15:WAVES

354559 A longitudinal harmonic wave is travelling along positive \(x\) direction. The amplitude, wavelength and frequency of the wave are \(8.0 \times 10^{-3} {~m}, 12 {~cm}\) and 6800 \(Hz\) respectively. The displacement (\(s\)) versus position graph for particles on the \(x\)-axis at an instant of time has been shown in the figure. Find the separation at the instant shown, between the particles which were originally at \(x_{1}=1 {~cm}\) and \(x_{2}=3 {~cm}\).
supporting img

1 \(3.5\,cm\)
2 \(7.2\,cm\)
3 \(2.4\,cm\)
4 \(1.5\,cm\)
PHXI15:WAVES

354560 The equation of a simple harmonic wave is given by
\({y=3 \sin \dfrac{\pi}{2}(50 t-x)}\), where \({x}\) and \({y}\) are in metres and \({t}\) is in seconds. The ratio of maximum particle velocity to the wave velocity is

1 \({3 \pi}\)
2 \({\dfrac{2}{3} \pi}\)
3 \({2 \pi}\)
4 \({\dfrac{3}{2} \pi}\)
PHXI15:WAVES

354561 A wave equation which gives the displacement along \(y\)-direction is given by \(y=10^{-4} \sin (60 t+x)\), where \(x\) and \(y\) are in metre and \(t\) is time in second. This represents as wave

1 Travelling with a velocity of \(300\;m{s^{ - 1}}\) in the -ve \(x\)-direction
2 Of wavelength \(\pi\) metre
3 Of frequency \(\frac{{30}}{\pi }Hz\)
4 Of amplitude \({10^4}\;m\) travelling along the positive \(x\)-direction
PHXI15:WAVES

354558 The equation of a transverse wave is given by \({y=10 \sin \pi(0.01 x-2 t)}\) where \({x}\) and \({y}\) are in cm and \({t}\) is in seconds. Its frequency is

1 \({0.01 {~s}^{-1}}\)
2 \(1.0\;{s^{ - 1}}\)
3 \({2 {~s}^{-1}}\)
4 \({10 {~s}^{-1}}\)
PHXI15:WAVES

354559 A longitudinal harmonic wave is travelling along positive \(x\) direction. The amplitude, wavelength and frequency of the wave are \(8.0 \times 10^{-3} {~m}, 12 {~cm}\) and 6800 \(Hz\) respectively. The displacement (\(s\)) versus position graph for particles on the \(x\)-axis at an instant of time has been shown in the figure. Find the separation at the instant shown, between the particles which were originally at \(x_{1}=1 {~cm}\) and \(x_{2}=3 {~cm}\).
supporting img

1 \(3.5\,cm\)
2 \(7.2\,cm\)
3 \(2.4\,cm\)
4 \(1.5\,cm\)
PHXI15:WAVES

354560 The equation of a simple harmonic wave is given by
\({y=3 \sin \dfrac{\pi}{2}(50 t-x)}\), where \({x}\) and \({y}\) are in metres and \({t}\) is in seconds. The ratio of maximum particle velocity to the wave velocity is

1 \({3 \pi}\)
2 \({\dfrac{2}{3} \pi}\)
3 \({2 \pi}\)
4 \({\dfrac{3}{2} \pi}\)
PHXI15:WAVES

354561 A wave equation which gives the displacement along \(y\)-direction is given by \(y=10^{-4} \sin (60 t+x)\), where \(x\) and \(y\) are in metre and \(t\) is time in second. This represents as wave

1 Travelling with a velocity of \(300\;m{s^{ - 1}}\) in the -ve \(x\)-direction
2 Of wavelength \(\pi\) metre
3 Of frequency \(\frac{{30}}{\pi }Hz\)
4 Of amplitude \({10^4}\;m\) travelling along the positive \(x\)-direction