Characteristics of Progressive Waves
PHXI15:WAVES

354562 The equation of a wave travelling on a string stretched along the -x-axis is given by \(y(m)=A e^{-\left(\dfrac{x}{4}+\dfrac{t}{T}\right)^{2}}\). Where is the position of maximum of pulse located at \(t = T\) on \(x\)-axis?

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

354563 The displacement of a wave travelling in the \(x\) direction is \(y=10^{-4} \sin \left[600 t-2 x+\dfrac{\pi}{3}\right] m\), where \(x\) is in metre and \(t\) in second. The speed of the wave is

1 \(300\;m{\rm{/}}s\)
2 \(200\;m{\rm{/}}s\)
3 \(150\;m{\rm{/}}s\)
4 \(600\;m{\rm{/}}s\)
PHXI15:WAVES

354564 A transverse wave is represented 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 \(\dfrac{\pi A}{2}\)
2 \(\pi \mathrm{A}\)
3 \(2 \pi A\)
4 \(A\)
PHXI15:WAVES

354565 The equation of simple harmonic progressive
wave is given by \(Y=a \sin 2 \pi(b t-c x)\). The maximum particle velocity will be twice the wave velocity if

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

354562 The equation of a wave travelling on a string stretched along the -x-axis is given by \(y(m)=A e^{-\left(\dfrac{x}{4}+\dfrac{t}{T}\right)^{2}}\). Where is the position of maximum of pulse located at \(t = T\) on \(x\)-axis?

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

354563 The displacement of a wave travelling in the \(x\) direction is \(y=10^{-4} \sin \left[600 t-2 x+\dfrac{\pi}{3}\right] m\), where \(x\) is in metre and \(t\) in second. The speed of the wave is

1 \(300\;m{\rm{/}}s\)
2 \(200\;m{\rm{/}}s\)
3 \(150\;m{\rm{/}}s\)
4 \(600\;m{\rm{/}}s\)
PHXI15:WAVES

354564 A transverse wave is represented 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 \(\dfrac{\pi A}{2}\)
2 \(\pi \mathrm{A}\)
3 \(2 \pi A\)
4 \(A\)
PHXI15:WAVES

354565 The equation of simple harmonic progressive
wave is given by \(Y=a \sin 2 \pi(b t-c x)\). The maximum particle velocity will be twice the wave velocity if

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

354562 The equation of a wave travelling on a string stretched along the -x-axis is given by \(y(m)=A e^{-\left(\dfrac{x}{4}+\dfrac{t}{T}\right)^{2}}\). Where is the position of maximum of pulse located at \(t = T\) on \(x\)-axis?

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

354563 The displacement of a wave travelling in the \(x\) direction is \(y=10^{-4} \sin \left[600 t-2 x+\dfrac{\pi}{3}\right] m\), where \(x\) is in metre and \(t\) in second. The speed of the wave is

1 \(300\;m{\rm{/}}s\)
2 \(200\;m{\rm{/}}s\)
3 \(150\;m{\rm{/}}s\)
4 \(600\;m{\rm{/}}s\)
PHXI15:WAVES

354564 A transverse wave is represented 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 \(\dfrac{\pi A}{2}\)
2 \(\pi \mathrm{A}\)
3 \(2 \pi A\)
4 \(A\)
PHXI15:WAVES

354565 The equation of simple harmonic progressive
wave is given by \(Y=a \sin 2 \pi(b t-c x)\). The maximum particle velocity will be twice the wave velocity if

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

354562 The equation of a wave travelling on a string stretched along the -x-axis is given by \(y(m)=A e^{-\left(\dfrac{x}{4}+\dfrac{t}{T}\right)^{2}}\). Where is the position of maximum of pulse located at \(t = T\) on \(x\)-axis?

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

354563 The displacement of a wave travelling in the \(x\) direction is \(y=10^{-4} \sin \left[600 t-2 x+\dfrac{\pi}{3}\right] m\), where \(x\) is in metre and \(t\) in second. The speed of the wave is

1 \(300\;m{\rm{/}}s\)
2 \(200\;m{\rm{/}}s\)
3 \(150\;m{\rm{/}}s\)
4 \(600\;m{\rm{/}}s\)
PHXI15:WAVES

354564 A transverse wave is represented 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 \(\dfrac{\pi A}{2}\)
2 \(\pi \mathrm{A}\)
3 \(2 \pi A\)
4 \(A\)
PHXI15:WAVES

354565 The equation of simple harmonic progressive
wave is given by \(Y=a \sin 2 \pi(b t-c x)\). The maximum particle velocity will be twice the wave velocity if

1 \(c=\pi a\)
2 \(c=\dfrac{1}{2 \pi a}\)
3 \(c=\dfrac{1}{\pi a}\)
4 \(c=2 \pi a\)