Characteristics of Progressive Waves
PHXI15:WAVES

354519 A transverse wave is represented by :
\(y=\dfrac{10}{\pi} \sin \left(\dfrac{2 \pi}{T} t-\dfrac{2 \pi}{\lambda} x\right)\)
For what value of the wavelength the wave velocity is twice the maximum particle velocity?

1 \(40\;cm\)
2 \(10\;cm\)
3 \(60\;cm\)
4 \(20\;cm\)
PHXI15:WAVES

354520 The wave described by \(y=0.25 \sin (10 \pi x-2 \pi t)\), where \(x\) and \(\) are in metre and \(t\) in second, is a wave travelling along the

1 \( - ve\,x - \) direction with frequency \(1\,Hz\)
2 \( + ve\,x - \) direction with frequency \(\pi \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
3 \( + ve\,x - \) direction with frequency \(1 \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
4 \( + ve\,x - \) direction with frequency \(0.25 \) \(m\) and the wavelength \(\lambda = 0.2\,m\)
PHXI15:WAVES

354521 \(y = 3\sin \pi \left( {\frac{t}{2} - \frac{x}{4}} \right)\) represents an equation of a progressive wave, where \(t\) is in second and \(x\) is in metre. The distance travelled by the wave in 5 seconds is

1 \(8\;m\)
2 \(10\;m\)
3 \(5\;m\)
4 \(32\;m\)
PHXI15:WAVES

354522 When a wave travels in a medium, displacement of a particle is given by \(y=a \sin 2 \pi(b t-c x)\), where \(a,\,b,\,c\) are constants. The maximum particle velocity will be twice the wave velocity if

1 \(c=\dfrac{1}{\pi a}\)
2 \(b=\dfrac{1}{a c}\)
3 \(b=a c\)
4 \(c=\pi a\)
PHXI15:WAVES

354523 A transverse wave is represnted by \(y=A \sin (\omega t-k x)\). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

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

354519 A transverse wave is represented by :
\(y=\dfrac{10}{\pi} \sin \left(\dfrac{2 \pi}{T} t-\dfrac{2 \pi}{\lambda} x\right)\)
For what value of the wavelength the wave velocity is twice the maximum particle velocity?

1 \(40\;cm\)
2 \(10\;cm\)
3 \(60\;cm\)
4 \(20\;cm\)
PHXI15:WAVES

354520 The wave described by \(y=0.25 \sin (10 \pi x-2 \pi t)\), where \(x\) and \(\) are in metre and \(t\) in second, is a wave travelling along the

1 \( - ve\,x - \) direction with frequency \(1\,Hz\)
2 \( + ve\,x - \) direction with frequency \(\pi \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
3 \( + ve\,x - \) direction with frequency \(1 \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
4 \( + ve\,x - \) direction with frequency \(0.25 \) \(m\) and the wavelength \(\lambda = 0.2\,m\)
PHXI15:WAVES

354521 \(y = 3\sin \pi \left( {\frac{t}{2} - \frac{x}{4}} \right)\) represents an equation of a progressive wave, where \(t\) is in second and \(x\) is in metre. The distance travelled by the wave in 5 seconds is

1 \(8\;m\)
2 \(10\;m\)
3 \(5\;m\)
4 \(32\;m\)
PHXI15:WAVES

354522 When a wave travels in a medium, displacement of a particle is given by \(y=a \sin 2 \pi(b t-c x)\), where \(a,\,b,\,c\) are constants. The maximum particle velocity will be twice the wave velocity if

1 \(c=\dfrac{1}{\pi a}\)
2 \(b=\dfrac{1}{a c}\)
3 \(b=a c\)
4 \(c=\pi a\)
PHXI15:WAVES

354523 A transverse wave is represnted by \(y=A \sin (\omega t-k x)\). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

1 \(\pi / / 2\)
2 \(\pi A\)
3 \(2\pi A\)
4 \(A\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI15:WAVES

354519 A transverse wave is represented by :
\(y=\dfrac{10}{\pi} \sin \left(\dfrac{2 \pi}{T} t-\dfrac{2 \pi}{\lambda} x\right)\)
For what value of the wavelength the wave velocity is twice the maximum particle velocity?

1 \(40\;cm\)
2 \(10\;cm\)
3 \(60\;cm\)
4 \(20\;cm\)
PHXI15:WAVES

354520 The wave described by \(y=0.25 \sin (10 \pi x-2 \pi t)\), where \(x\) and \(\) are in metre and \(t\) in second, is a wave travelling along the

1 \( - ve\,x - \) direction with frequency \(1\,Hz\)
2 \( + ve\,x - \) direction with frequency \(\pi \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
3 \( + ve\,x - \) direction with frequency \(1 \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
4 \( + ve\,x - \) direction with frequency \(0.25 \) \(m\) and the wavelength \(\lambda = 0.2\,m\)
PHXI15:WAVES

354521 \(y = 3\sin \pi \left( {\frac{t}{2} - \frac{x}{4}} \right)\) represents an equation of a progressive wave, where \(t\) is in second and \(x\) is in metre. The distance travelled by the wave in 5 seconds is

1 \(8\;m\)
2 \(10\;m\)
3 \(5\;m\)
4 \(32\;m\)
PHXI15:WAVES

354522 When a wave travels in a medium, displacement of a particle is given by \(y=a \sin 2 \pi(b t-c x)\), where \(a,\,b,\,c\) are constants. The maximum particle velocity will be twice the wave velocity if

1 \(c=\dfrac{1}{\pi a}\)
2 \(b=\dfrac{1}{a c}\)
3 \(b=a c\)
4 \(c=\pi a\)
PHXI15:WAVES

354523 A transverse wave is represnted by \(y=A \sin (\omega t-k x)\). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

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

354519 A transverse wave is represented by :
\(y=\dfrac{10}{\pi} \sin \left(\dfrac{2 \pi}{T} t-\dfrac{2 \pi}{\lambda} x\right)\)
For what value of the wavelength the wave velocity is twice the maximum particle velocity?

1 \(40\;cm\)
2 \(10\;cm\)
3 \(60\;cm\)
4 \(20\;cm\)
PHXI15:WAVES

354520 The wave described by \(y=0.25 \sin (10 \pi x-2 \pi t)\), where \(x\) and \(\) are in metre and \(t\) in second, is a wave travelling along the

1 \( - ve\,x - \) direction with frequency \(1\,Hz\)
2 \( + ve\,x - \) direction with frequency \(\pi \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
3 \( + ve\,x - \) direction with frequency \(1 \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
4 \( + ve\,x - \) direction with frequency \(0.25 \) \(m\) and the wavelength \(\lambda = 0.2\,m\)
PHXI15:WAVES

354521 \(y = 3\sin \pi \left( {\frac{t}{2} - \frac{x}{4}} \right)\) represents an equation of a progressive wave, where \(t\) is in second and \(x\) is in metre. The distance travelled by the wave in 5 seconds is

1 \(8\;m\)
2 \(10\;m\)
3 \(5\;m\)
4 \(32\;m\)
PHXI15:WAVES

354522 When a wave travels in a medium, displacement of a particle is given by \(y=a \sin 2 \pi(b t-c x)\), where \(a,\,b,\,c\) are constants. The maximum particle velocity will be twice the wave velocity if

1 \(c=\dfrac{1}{\pi a}\)
2 \(b=\dfrac{1}{a c}\)
3 \(b=a c\)
4 \(c=\pi a\)
PHXI15:WAVES

354523 A transverse wave is represnted by \(y=A \sin (\omega t-k x)\). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

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

354519 A transverse wave is represented by :
\(y=\dfrac{10}{\pi} \sin \left(\dfrac{2 \pi}{T} t-\dfrac{2 \pi}{\lambda} x\right)\)
For what value of the wavelength the wave velocity is twice the maximum particle velocity?

1 \(40\;cm\)
2 \(10\;cm\)
3 \(60\;cm\)
4 \(20\;cm\)
PHXI15:WAVES

354520 The wave described by \(y=0.25 \sin (10 \pi x-2 \pi t)\), where \(x\) and \(\) are in metre and \(t\) in second, is a wave travelling along the

1 \( - ve\,x - \) direction with frequency \(1\,Hz\)
2 \( + ve\,x - \) direction with frequency \(\pi \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
3 \( + ve\,x - \) direction with frequency \(1 \) \(Hz\) and the wavelength \(\lambda = 0.2\,m\)
4 \( + ve\,x - \) direction with frequency \(0.25 \) \(m\) and the wavelength \(\lambda = 0.2\,m\)
PHXI15:WAVES

354521 \(y = 3\sin \pi \left( {\frac{t}{2} - \frac{x}{4}} \right)\) represents an equation of a progressive wave, where \(t\) is in second and \(x\) is in metre. The distance travelled by the wave in 5 seconds is

1 \(8\;m\)
2 \(10\;m\)
3 \(5\;m\)
4 \(32\;m\)
PHXI15:WAVES

354522 When a wave travels in a medium, displacement of a particle is given by \(y=a \sin 2 \pi(b t-c x)\), where \(a,\,b,\,c\) are constants. The maximum particle velocity will be twice the wave velocity if

1 \(c=\dfrac{1}{\pi a}\)
2 \(b=\dfrac{1}{a c}\)
3 \(b=a c\)
4 \(c=\pi a\)
PHXI15:WAVES

354523 A transverse wave is represnted by \(y=A \sin (\omega t-k x)\). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

1 \(\pi / / 2\)
2 \(\pi A\)
3 \(2\pi A\)
4 \(A\)