Characteristics of Progressive Waves
PHXI15:WAVES

354571 A simple harmonic progressive wave is represented as \(y=0.03 \sin \pi(2 t-0.01 x) m\). At a given instant of time, the phase difference between two particles \(25\,m\) apart is

1 \(\pi \,rad\)
2 \(\frac{\pi }{2}rad\)
3 \(\frac{\pi }{4}rad\)
4 \(\frac{\pi }{8}rad\)
PHXI15:WAVES

354572 The plane progressive wave is described by the equation \(y=3 \cos \left(\dfrac{x}{4}-10 t-\dfrac{\pi}{2}\right)\), where \(x\) and \(y\) are in meters and \(t\) in seconds. The maximum velocity of the particles of the medium due to this wave is

1 \(30\;m{\rm{/}}s\)
2 \(\left( {\frac{{3\pi }}{2}} \right)m{\rm{/}}s\)
3 \(3{\rm{/}}4\;\,m{\rm{/}}s\)
4 \(40\;m{\rm{/}}s\)
PHXI15:WAVES

354573 The tansverse wave represented by the equation \(y=\sin [3 x-15 t]\)

1 Wavelength \(=4 \dfrac{\pi}{3}\)
2 Amplitude \(=4\)
3 Period \(=\dfrac{\pi}{15}\)
4 Speed of propagation \(=5\)
PHXI15:WAVES

354574 A transverse wave is represented by \(y = 2\sin (\omega t - kx)\) The wavelength for which wave-velocity is equal to the maximum particle velocity, is

1 \(9.62\,m\)
2 \(12.56\,m\)
3 \(15.23\,m\)
4 \(18.42\,m\)
PHXI15:WAVES

354571 A simple harmonic progressive wave is represented as \(y=0.03 \sin \pi(2 t-0.01 x) m\). At a given instant of time, the phase difference between two particles \(25\,m\) apart is

1 \(\pi \,rad\)
2 \(\frac{\pi }{2}rad\)
3 \(\frac{\pi }{4}rad\)
4 \(\frac{\pi }{8}rad\)
PHXI15:WAVES

354572 The plane progressive wave is described by the equation \(y=3 \cos \left(\dfrac{x}{4}-10 t-\dfrac{\pi}{2}\right)\), where \(x\) and \(y\) are in meters and \(t\) in seconds. The maximum velocity of the particles of the medium due to this wave is

1 \(30\;m{\rm{/}}s\)
2 \(\left( {\frac{{3\pi }}{2}} \right)m{\rm{/}}s\)
3 \(3{\rm{/}}4\;\,m{\rm{/}}s\)
4 \(40\;m{\rm{/}}s\)
PHXI15:WAVES

354573 The tansverse wave represented by the equation \(y=\sin [3 x-15 t]\)

1 Wavelength \(=4 \dfrac{\pi}{3}\)
2 Amplitude \(=4\)
3 Period \(=\dfrac{\pi}{15}\)
4 Speed of propagation \(=5\)
PHXI15:WAVES

354574 A transverse wave is represented by \(y = 2\sin (\omega t - kx)\) The wavelength for which wave-velocity is equal to the maximum particle velocity, is

1 \(9.62\,m\)
2 \(12.56\,m\)
3 \(15.23\,m\)
4 \(18.42\,m\)
PHXI15:WAVES

354571 A simple harmonic progressive wave is represented as \(y=0.03 \sin \pi(2 t-0.01 x) m\). At a given instant of time, the phase difference between two particles \(25\,m\) apart is

1 \(\pi \,rad\)
2 \(\frac{\pi }{2}rad\)
3 \(\frac{\pi }{4}rad\)
4 \(\frac{\pi }{8}rad\)
PHXI15:WAVES

354572 The plane progressive wave is described by the equation \(y=3 \cos \left(\dfrac{x}{4}-10 t-\dfrac{\pi}{2}\right)\), where \(x\) and \(y\) are in meters and \(t\) in seconds. The maximum velocity of the particles of the medium due to this wave is

1 \(30\;m{\rm{/}}s\)
2 \(\left( {\frac{{3\pi }}{2}} \right)m{\rm{/}}s\)
3 \(3{\rm{/}}4\;\,m{\rm{/}}s\)
4 \(40\;m{\rm{/}}s\)
PHXI15:WAVES

354573 The tansverse wave represented by the equation \(y=\sin [3 x-15 t]\)

1 Wavelength \(=4 \dfrac{\pi}{3}\)
2 Amplitude \(=4\)
3 Period \(=\dfrac{\pi}{15}\)
4 Speed of propagation \(=5\)
PHXI15:WAVES

354574 A transverse wave is represented by \(y = 2\sin (\omega t - kx)\) The wavelength for which wave-velocity is equal to the maximum particle velocity, is

1 \(9.62\,m\)
2 \(12.56\,m\)
3 \(15.23\,m\)
4 \(18.42\,m\)
PHXI15:WAVES

354571 A simple harmonic progressive wave is represented as \(y=0.03 \sin \pi(2 t-0.01 x) m\). At a given instant of time, the phase difference between two particles \(25\,m\) apart is

1 \(\pi \,rad\)
2 \(\frac{\pi }{2}rad\)
3 \(\frac{\pi }{4}rad\)
4 \(\frac{\pi }{8}rad\)
PHXI15:WAVES

354572 The plane progressive wave is described by the equation \(y=3 \cos \left(\dfrac{x}{4}-10 t-\dfrac{\pi}{2}\right)\), where \(x\) and \(y\) are in meters and \(t\) in seconds. The maximum velocity of the particles of the medium due to this wave is

1 \(30\;m{\rm{/}}s\)
2 \(\left( {\frac{{3\pi }}{2}} \right)m{\rm{/}}s\)
3 \(3{\rm{/}}4\;\,m{\rm{/}}s\)
4 \(40\;m{\rm{/}}s\)
PHXI15:WAVES

354573 The tansverse wave represented by the equation \(y=\sin [3 x-15 t]\)

1 Wavelength \(=4 \dfrac{\pi}{3}\)
2 Amplitude \(=4\)
3 Period \(=\dfrac{\pi}{15}\)
4 Speed of propagation \(=5\)
PHXI15:WAVES

354574 A transverse wave is represented by \(y = 2\sin (\omega t - kx)\) The wavelength for which wave-velocity is equal to the maximum particle velocity, is

1 \(9.62\,m\)
2 \(12.56\,m\)
3 \(15.23\,m\)
4 \(18.42\,m\)