Characteristics of Progressive Waves
PHXI15:WAVES

354541 The equation of a wave is given by \(y = 10\sin \left( {\frac{{2\pi }}{{45}}t + \alpha } \right)\). If the displacement is \(5\;cm\) at \(t = 0\), then the total phase at \(t = 7.5\sec \) is

1 \(\pi / 3\)
2 \(\pi / 2\)
3 \(\pi / 6\)
4 \(\pi\)
PHXI15:WAVES

354542 A transverse wave along a string is given by \(y=2 \sin \left(2 \pi(3 t-x)+\dfrac{\pi}{4}\right)\), where \(x\) and \(y\) are in \(\mathrm{cm}\) and ' \(t\) ' is in second. The acceleration of a particle located at \(x = 4\;\,cm\) at \(t = 1\;s\) is

1 \(36\sqrt 2 {\pi ^2}\;cm{\rm{/}}{s^2}\)
2 \(36{\pi ^2}\;cm{\rm{/}}{s^2}\)
3 \( - 36\sqrt 2 {\pi ^2}\;cm{\rm{/}}{s^2}\)
4 \( - 36{\pi ^2}\;cm{\rm{/}}{s^2}\)
PHXI15:WAVES

354543 The equation of a travelling wave is \(y=60 \cos (180 t-6 x)\) where \(y\) is in \(\mu m, t\) in second and \(x\) in meters. the ratio of maximum particle velocity to velocity of wave propagation is

1 \(3.6 \times 10^{-4}\)
2 \(3.6 \times 10^{-2}\)
3 \(3.6 \times 10^{-11}\)
4 \(3.6 \times 10^{-6}\)
PHXI15:WAVES

354544 A plane progressive wave is given by \({y=2 \cos 2 \pi(330 t-x) m}\). The frequency of the wave is ____ .

1 \(340\,Hz\)
2 \(660\,Hz\)
3 \(330\,Hz\)
4 \(165\,Hz\)
PHXI15:WAVES

354541 The equation of a wave is given by \(y = 10\sin \left( {\frac{{2\pi }}{{45}}t + \alpha } \right)\). If the displacement is \(5\;cm\) at \(t = 0\), then the total phase at \(t = 7.5\sec \) is

1 \(\pi / 3\)
2 \(\pi / 2\)
3 \(\pi / 6\)
4 \(\pi\)
PHXI15:WAVES

354542 A transverse wave along a string is given by \(y=2 \sin \left(2 \pi(3 t-x)+\dfrac{\pi}{4}\right)\), where \(x\) and \(y\) are in \(\mathrm{cm}\) and ' \(t\) ' is in second. The acceleration of a particle located at \(x = 4\;\,cm\) at \(t = 1\;s\) is

1 \(36\sqrt 2 {\pi ^2}\;cm{\rm{/}}{s^2}\)
2 \(36{\pi ^2}\;cm{\rm{/}}{s^2}\)
3 \( - 36\sqrt 2 {\pi ^2}\;cm{\rm{/}}{s^2}\)
4 \( - 36{\pi ^2}\;cm{\rm{/}}{s^2}\)
PHXI15:WAVES

354543 The equation of a travelling wave is \(y=60 \cos (180 t-6 x)\) where \(y\) is in \(\mu m, t\) in second and \(x\) in meters. the ratio of maximum particle velocity to velocity of wave propagation is

1 \(3.6 \times 10^{-4}\)
2 \(3.6 \times 10^{-2}\)
3 \(3.6 \times 10^{-11}\)
4 \(3.6 \times 10^{-6}\)
PHXI15:WAVES

354544 A plane progressive wave is given by \({y=2 \cos 2 \pi(330 t-x) m}\). The frequency of the wave is ____ .

1 \(340\,Hz\)
2 \(660\,Hz\)
3 \(330\,Hz\)
4 \(165\,Hz\)
PHXI15:WAVES

354541 The equation of a wave is given by \(y = 10\sin \left( {\frac{{2\pi }}{{45}}t + \alpha } \right)\). If the displacement is \(5\;cm\) at \(t = 0\), then the total phase at \(t = 7.5\sec \) is

1 \(\pi / 3\)
2 \(\pi / 2\)
3 \(\pi / 6\)
4 \(\pi\)
PHXI15:WAVES

354542 A transverse wave along a string is given by \(y=2 \sin \left(2 \pi(3 t-x)+\dfrac{\pi}{4}\right)\), where \(x\) and \(y\) are in \(\mathrm{cm}\) and ' \(t\) ' is in second. The acceleration of a particle located at \(x = 4\;\,cm\) at \(t = 1\;s\) is

1 \(36\sqrt 2 {\pi ^2}\;cm{\rm{/}}{s^2}\)
2 \(36{\pi ^2}\;cm{\rm{/}}{s^2}\)
3 \( - 36\sqrt 2 {\pi ^2}\;cm{\rm{/}}{s^2}\)
4 \( - 36{\pi ^2}\;cm{\rm{/}}{s^2}\)
PHXI15:WAVES

354543 The equation of a travelling wave is \(y=60 \cos (180 t-6 x)\) where \(y\) is in \(\mu m, t\) in second and \(x\) in meters. the ratio of maximum particle velocity to velocity of wave propagation is

1 \(3.6 \times 10^{-4}\)
2 \(3.6 \times 10^{-2}\)
3 \(3.6 \times 10^{-11}\)
4 \(3.6 \times 10^{-6}\)
PHXI15:WAVES

354544 A plane progressive wave is given by \({y=2 \cos 2 \pi(330 t-x) m}\). The frequency of the wave is ____ .

1 \(340\,Hz\)
2 \(660\,Hz\)
3 \(330\,Hz\)
4 \(165\,Hz\)
PHXI15:WAVES

354541 The equation of a wave is given by \(y = 10\sin \left( {\frac{{2\pi }}{{45}}t + \alpha } \right)\). If the displacement is \(5\;cm\) at \(t = 0\), then the total phase at \(t = 7.5\sec \) is

1 \(\pi / 3\)
2 \(\pi / 2\)
3 \(\pi / 6\)
4 \(\pi\)
PHXI15:WAVES

354542 A transverse wave along a string is given by \(y=2 \sin \left(2 \pi(3 t-x)+\dfrac{\pi}{4}\right)\), where \(x\) and \(y\) are in \(\mathrm{cm}\) and ' \(t\) ' is in second. The acceleration of a particle located at \(x = 4\;\,cm\) at \(t = 1\;s\) is

1 \(36\sqrt 2 {\pi ^2}\;cm{\rm{/}}{s^2}\)
2 \(36{\pi ^2}\;cm{\rm{/}}{s^2}\)
3 \( - 36\sqrt 2 {\pi ^2}\;cm{\rm{/}}{s^2}\)
4 \( - 36{\pi ^2}\;cm{\rm{/}}{s^2}\)
PHXI15:WAVES

354543 The equation of a travelling wave is \(y=60 \cos (180 t-6 x)\) where \(y\) is in \(\mu m, t\) in second and \(x\) in meters. the ratio of maximum particle velocity to velocity of wave propagation is

1 \(3.6 \times 10^{-4}\)
2 \(3.6 \times 10^{-2}\)
3 \(3.6 \times 10^{-11}\)
4 \(3.6 \times 10^{-6}\)
PHXI15:WAVES

354544 A plane progressive wave is given by \({y=2 \cos 2 \pi(330 t-x) m}\). The frequency of the wave is ____ .

1 \(340\,Hz\)
2 \(660\,Hz\)
3 \(330\,Hz\)
4 \(165\,Hz\)