Characteristics of Progressive Waves
PHXI15:WAVES

354566 A moving pulse has the equation \(y=\dfrac{2 \times 10^{-2}}{(3 x-10 t)^{2}+4} m\). The speed of the pulse is \(\frac{{10}}{c}m/\sec \). The value of \(c\) is.......

1 3
2 2.5
3 4
4 2
PHXI15:WAVES

354567 The equation of a progressive wave for a wire is \({Y=4 \sin \left[\dfrac{\pi}{2}\left(8 t-\dfrac{x}{8}\right)\right]}\). If \({x}\) and \({y}\) are measured in \(cm\), then the velocity of wave is

1 \({64 {~cm} / {s}}\) along \({-x}\) direction
2 \({32 {~cm} / {s}}\) along \({-x}\) direction
3 \({32 {~cm} / {s}}\) along \({+x}\) direction
4 \({64 {~cm} / {s}}\) along \({+x}\) direction
PHXI15:WAVES

354568 A plane progressive wave is given by \(y=2 \cos 6.284(330 t-x)\). What is period of the wave?

1 \(2\pi \times 330\;s\)
2 \(\dfrac{1}{330} s\)
3 \(\dfrac{6.284}{330} s\)
4 \((2 \pi \times 330)^{-1} s\)
PHXI15:WAVES

354569 A progressive wave on a string having linear mass density \({\rho}\) is represented by
\({y=A \sin \left(\dfrac{2 \pi}{\lambda} x-\omega t\right)}\) where \({y}\) is in \({m m}\). Find the total energy (in \({\mu J}\) ) passing through origin from \({t=0}\) to \({t=\dfrac{\pi}{2 \omega}}\).
[Take: \({\rho=3 \times 10^{-2} {~kg} / {m} ; A=1 {~mm}}\); \({\omega=100 {rad} / {sec} ; \lambda=16 {~cm}]}\)

1 6
2 7
3 8
4 9
PHXI15:WAVES

354570 Figure shows the shape of a part of a long string in which transverse waves are produced by attaching one end of string to a tuning fork of frequency \(250\,Hz\). What is the velocity of the waves?
supporting img

1 \({1 {~ms}^{-1}}\)
2 \({1.5 {~ms}^{-1}}\)
3 \({2 {~ms}^{-1}}\)
4 \({2.5 {~ms}^{-1}}\)
PHXI15:WAVES

354566 A moving pulse has the equation \(y=\dfrac{2 \times 10^{-2}}{(3 x-10 t)^{2}+4} m\). The speed of the pulse is \(\frac{{10}}{c}m/\sec \). The value of \(c\) is.......

1 3
2 2.5
3 4
4 2
PHXI15:WAVES

354567 The equation of a progressive wave for a wire is \({Y=4 \sin \left[\dfrac{\pi}{2}\left(8 t-\dfrac{x}{8}\right)\right]}\). If \({x}\) and \({y}\) are measured in \(cm\), then the velocity of wave is

1 \({64 {~cm} / {s}}\) along \({-x}\) direction
2 \({32 {~cm} / {s}}\) along \({-x}\) direction
3 \({32 {~cm} / {s}}\) along \({+x}\) direction
4 \({64 {~cm} / {s}}\) along \({+x}\) direction
PHXI15:WAVES

354568 A plane progressive wave is given by \(y=2 \cos 6.284(330 t-x)\). What is period of the wave?

1 \(2\pi \times 330\;s\)
2 \(\dfrac{1}{330} s\)
3 \(\dfrac{6.284}{330} s\)
4 \((2 \pi \times 330)^{-1} s\)
PHXI15:WAVES

354569 A progressive wave on a string having linear mass density \({\rho}\) is represented by
\({y=A \sin \left(\dfrac{2 \pi}{\lambda} x-\omega t\right)}\) where \({y}\) is in \({m m}\). Find the total energy (in \({\mu J}\) ) passing through origin from \({t=0}\) to \({t=\dfrac{\pi}{2 \omega}}\).
[Take: \({\rho=3 \times 10^{-2} {~kg} / {m} ; A=1 {~mm}}\); \({\omega=100 {rad} / {sec} ; \lambda=16 {~cm}]}\)

1 6
2 7
3 8
4 9
PHXI15:WAVES

354570 Figure shows the shape of a part of a long string in which transverse waves are produced by attaching one end of string to a tuning fork of frequency \(250\,Hz\). What is the velocity of the waves?
supporting img

1 \({1 {~ms}^{-1}}\)
2 \({1.5 {~ms}^{-1}}\)
3 \({2 {~ms}^{-1}}\)
4 \({2.5 {~ms}^{-1}}\)
PHXI15:WAVES

354566 A moving pulse has the equation \(y=\dfrac{2 \times 10^{-2}}{(3 x-10 t)^{2}+4} m\). The speed of the pulse is \(\frac{{10}}{c}m/\sec \). The value of \(c\) is.......

1 3
2 2.5
3 4
4 2
PHXI15:WAVES

354567 The equation of a progressive wave for a wire is \({Y=4 \sin \left[\dfrac{\pi}{2}\left(8 t-\dfrac{x}{8}\right)\right]}\). If \({x}\) and \({y}\) are measured in \(cm\), then the velocity of wave is

1 \({64 {~cm} / {s}}\) along \({-x}\) direction
2 \({32 {~cm} / {s}}\) along \({-x}\) direction
3 \({32 {~cm} / {s}}\) along \({+x}\) direction
4 \({64 {~cm} / {s}}\) along \({+x}\) direction
PHXI15:WAVES

354568 A plane progressive wave is given by \(y=2 \cos 6.284(330 t-x)\). What is period of the wave?

1 \(2\pi \times 330\;s\)
2 \(\dfrac{1}{330} s\)
3 \(\dfrac{6.284}{330} s\)
4 \((2 \pi \times 330)^{-1} s\)
PHXI15:WAVES

354569 A progressive wave on a string having linear mass density \({\rho}\) is represented by
\({y=A \sin \left(\dfrac{2 \pi}{\lambda} x-\omega t\right)}\) where \({y}\) is in \({m m}\). Find the total energy (in \({\mu J}\) ) passing through origin from \({t=0}\) to \({t=\dfrac{\pi}{2 \omega}}\).
[Take: \({\rho=3 \times 10^{-2} {~kg} / {m} ; A=1 {~mm}}\); \({\omega=100 {rad} / {sec} ; \lambda=16 {~cm}]}\)

1 6
2 7
3 8
4 9
PHXI15:WAVES

354570 Figure shows the shape of a part of a long string in which transverse waves are produced by attaching one end of string to a tuning fork of frequency \(250\,Hz\). What is the velocity of the waves?
supporting img

1 \({1 {~ms}^{-1}}\)
2 \({1.5 {~ms}^{-1}}\)
3 \({2 {~ms}^{-1}}\)
4 \({2.5 {~ms}^{-1}}\)
PHXI15:WAVES

354566 A moving pulse has the equation \(y=\dfrac{2 \times 10^{-2}}{(3 x-10 t)^{2}+4} m\). The speed of the pulse is \(\frac{{10}}{c}m/\sec \). The value of \(c\) is.......

1 3
2 2.5
3 4
4 2
PHXI15:WAVES

354567 The equation of a progressive wave for a wire is \({Y=4 \sin \left[\dfrac{\pi}{2}\left(8 t-\dfrac{x}{8}\right)\right]}\). If \({x}\) and \({y}\) are measured in \(cm\), then the velocity of wave is

1 \({64 {~cm} / {s}}\) along \({-x}\) direction
2 \({32 {~cm} / {s}}\) along \({-x}\) direction
3 \({32 {~cm} / {s}}\) along \({+x}\) direction
4 \({64 {~cm} / {s}}\) along \({+x}\) direction
PHXI15:WAVES

354568 A plane progressive wave is given by \(y=2 \cos 6.284(330 t-x)\). What is period of the wave?

1 \(2\pi \times 330\;s\)
2 \(\dfrac{1}{330} s\)
3 \(\dfrac{6.284}{330} s\)
4 \((2 \pi \times 330)^{-1} s\)
PHXI15:WAVES

354569 A progressive wave on a string having linear mass density \({\rho}\) is represented by
\({y=A \sin \left(\dfrac{2 \pi}{\lambda} x-\omega t\right)}\) where \({y}\) is in \({m m}\). Find the total energy (in \({\mu J}\) ) passing through origin from \({t=0}\) to \({t=\dfrac{\pi}{2 \omega}}\).
[Take: \({\rho=3 \times 10^{-2} {~kg} / {m} ; A=1 {~mm}}\); \({\omega=100 {rad} / {sec} ; \lambda=16 {~cm}]}\)

1 6
2 7
3 8
4 9
PHXI15:WAVES

354570 Figure shows the shape of a part of a long string in which transverse waves are produced by attaching one end of string to a tuning fork of frequency \(250\,Hz\). What is the velocity of the waves?
supporting img

1 \({1 {~ms}^{-1}}\)
2 \({1.5 {~ms}^{-1}}\)
3 \({2 {~ms}^{-1}}\)
4 \({2.5 {~ms}^{-1}}\)
PHXI15:WAVES

354566 A moving pulse has the equation \(y=\dfrac{2 \times 10^{-2}}{(3 x-10 t)^{2}+4} m\). The speed of the pulse is \(\frac{{10}}{c}m/\sec \). The value of \(c\) is.......

1 3
2 2.5
3 4
4 2
PHXI15:WAVES

354567 The equation of a progressive wave for a wire is \({Y=4 \sin \left[\dfrac{\pi}{2}\left(8 t-\dfrac{x}{8}\right)\right]}\). If \({x}\) and \({y}\) are measured in \(cm\), then the velocity of wave is

1 \({64 {~cm} / {s}}\) along \({-x}\) direction
2 \({32 {~cm} / {s}}\) along \({-x}\) direction
3 \({32 {~cm} / {s}}\) along \({+x}\) direction
4 \({64 {~cm} / {s}}\) along \({+x}\) direction
PHXI15:WAVES

354568 A plane progressive wave is given by \(y=2 \cos 6.284(330 t-x)\). What is period of the wave?

1 \(2\pi \times 330\;s\)
2 \(\dfrac{1}{330} s\)
3 \(\dfrac{6.284}{330} s\)
4 \((2 \pi \times 330)^{-1} s\)
PHXI15:WAVES

354569 A progressive wave on a string having linear mass density \({\rho}\) is represented by
\({y=A \sin \left(\dfrac{2 \pi}{\lambda} x-\omega t\right)}\) where \({y}\) is in \({m m}\). Find the total energy (in \({\mu J}\) ) passing through origin from \({t=0}\) to \({t=\dfrac{\pi}{2 \omega}}\).
[Take: \({\rho=3 \times 10^{-2} {~kg} / {m} ; A=1 {~mm}}\); \({\omega=100 {rad} / {sec} ; \lambda=16 {~cm}]}\)

1 6
2 7
3 8
4 9
PHXI15:WAVES

354570 Figure shows the shape of a part of a long string in which transverse waves are produced by attaching one end of string to a tuning fork of frequency \(250\,Hz\). What is the velocity of the waves?
supporting img

1 \({1 {~ms}^{-1}}\)
2 \({1.5 {~ms}^{-1}}\)
3 \({2 {~ms}^{-1}}\)
4 \({2.5 {~ms}^{-1}}\)