03. DISPLACEMENT RELATION IN A PROGRESSIVE WAVE
WAVES (NCERT)

274449 A wave travelling in the + ve $x$-direction having displacement along $y$-direction as $1\text{m}$, wavelength $2\pi \text{m}$ and frequency $\frac{1}{\pi }\text{Hz}$ is represented by

1 $y=\text{sin}\left( 2\pi x-2\pi t \right)$
2 $y=\text{sin}\left( 2\pi x+2\pi t \right)$
3 $y=\text{sin}\left( 10\pi x-20\pi t \right)$
4 $y=\text{sin}\left( x-2t \right)$
WAVES (NCERT)

274450 A progressive sound wave of frequency $500\text{Hz}$ is travelling through air with a speed of $350\text{m}{{\text{s}}^{-1}}$. A compression maximum appears at a place at a given instant. The minimum time interval after which the rarefraction maximum occurs at the same point, is

1 $200\text{s}$
2 $\frac{1}{250}\text{s}$
3 $\frac{1}{500}\text{s}$
4 $\frac{1}{1000}\text{s}$
WAVES (NCERT)

274451 A wave travelling on a string is described by $y\left( x,t \right)=0.005\text{sin}\left( 80.0x-3.0t \right)$
The period of the wave is

1 $3.00\text{s}$
2 $2.09\text{s}$
3 $0.48\text{s}$
4 $0.05\text{s}$
WAVES (NCERT)

274452 A transverse wave is represented by $\text{y}=2\text{sin}\left( \omega \text{t}-\text{kx} \right)\text{cm}$. The value of wavelength (in $\text{cm}$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be :]#

1 $4\pi $
2 $2\pi $
3 $\pi $
4 2
WAVES (NCERT)

274453 A sound wave of frequency $245\text{Hz}$ travels with the speed of $300\text{m}{{\text{s}}^{-1}}$ along the positive $x$-axis. Each point of the wave moves to and fro through a total distance of $6\text{cm}$. What will be the mathematical expression of this travelling wave?

1 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}0.8\text{x}-\left( 0.5\times {{10}^{3}} \right)\text{t} \right]$
2 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
3 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 0.2\times {{10}^{3}} \right)\text{t} \right]$
4 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
WAVES (NCERT)

274449 A wave travelling in the + ve $x$-direction having displacement along $y$-direction as $1\text{m}$, wavelength $2\pi \text{m}$ and frequency $\frac{1}{\pi }\text{Hz}$ is represented by

1 $y=\text{sin}\left( 2\pi x-2\pi t \right)$
2 $y=\text{sin}\left( 2\pi x+2\pi t \right)$
3 $y=\text{sin}\left( 10\pi x-20\pi t \right)$
4 $y=\text{sin}\left( x-2t \right)$
WAVES (NCERT)

274450 A progressive sound wave of frequency $500\text{Hz}$ is travelling through air with a speed of $350\text{m}{{\text{s}}^{-1}}$. A compression maximum appears at a place at a given instant. The minimum time interval after which the rarefraction maximum occurs at the same point, is

1 $200\text{s}$
2 $\frac{1}{250}\text{s}$
3 $\frac{1}{500}\text{s}$
4 $\frac{1}{1000}\text{s}$
WAVES (NCERT)

274451 A wave travelling on a string is described by $y\left( x,t \right)=0.005\text{sin}\left( 80.0x-3.0t \right)$
The period of the wave is

1 $3.00\text{s}$
2 $2.09\text{s}$
3 $0.48\text{s}$
4 $0.05\text{s}$
WAVES (NCERT)

274452 A transverse wave is represented by $\text{y}=2\text{sin}\left( \omega \text{t}-\text{kx} \right)\text{cm}$. The value of wavelength (in $\text{cm}$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be :]#

1 $4\pi $
2 $2\pi $
3 $\pi $
4 2
WAVES (NCERT)

274453 A sound wave of frequency $245\text{Hz}$ travels with the speed of $300\text{m}{{\text{s}}^{-1}}$ along the positive $x$-axis. Each point of the wave moves to and fro through a total distance of $6\text{cm}$. What will be the mathematical expression of this travelling wave?

1 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}0.8\text{x}-\left( 0.5\times {{10}^{3}} \right)\text{t} \right]$
2 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
3 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 0.2\times {{10}^{3}} \right)\text{t} \right]$
4 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
WAVES (NCERT)

274449 A wave travelling in the + ve $x$-direction having displacement along $y$-direction as $1\text{m}$, wavelength $2\pi \text{m}$ and frequency $\frac{1}{\pi }\text{Hz}$ is represented by

1 $y=\text{sin}\left( 2\pi x-2\pi t \right)$
2 $y=\text{sin}\left( 2\pi x+2\pi t \right)$
3 $y=\text{sin}\left( 10\pi x-20\pi t \right)$
4 $y=\text{sin}\left( x-2t \right)$
WAVES (NCERT)

274450 A progressive sound wave of frequency $500\text{Hz}$ is travelling through air with a speed of $350\text{m}{{\text{s}}^{-1}}$. A compression maximum appears at a place at a given instant. The minimum time interval after which the rarefraction maximum occurs at the same point, is

1 $200\text{s}$
2 $\frac{1}{250}\text{s}$
3 $\frac{1}{500}\text{s}$
4 $\frac{1}{1000}\text{s}$
WAVES (NCERT)

274451 A wave travelling on a string is described by $y\left( x,t \right)=0.005\text{sin}\left( 80.0x-3.0t \right)$
The period of the wave is

1 $3.00\text{s}$
2 $2.09\text{s}$
3 $0.48\text{s}$
4 $0.05\text{s}$
WAVES (NCERT)

274452 A transverse wave is represented by $\text{y}=2\text{sin}\left( \omega \text{t}-\text{kx} \right)\text{cm}$. The value of wavelength (in $\text{cm}$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be :]#

1 $4\pi $
2 $2\pi $
3 $\pi $
4 2
WAVES (NCERT)

274453 A sound wave of frequency $245\text{Hz}$ travels with the speed of $300\text{m}{{\text{s}}^{-1}}$ along the positive $x$-axis. Each point of the wave moves to and fro through a total distance of $6\text{cm}$. What will be the mathematical expression of this travelling wave?

1 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}0.8\text{x}-\left( 0.5\times {{10}^{3}} \right)\text{t} \right]$
2 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
3 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 0.2\times {{10}^{3}} \right)\text{t} \right]$
4 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
WAVES (NCERT)

274449 A wave travelling in the + ve $x$-direction having displacement along $y$-direction as $1\text{m}$, wavelength $2\pi \text{m}$ and frequency $\frac{1}{\pi }\text{Hz}$ is represented by

1 $y=\text{sin}\left( 2\pi x-2\pi t \right)$
2 $y=\text{sin}\left( 2\pi x+2\pi t \right)$
3 $y=\text{sin}\left( 10\pi x-20\pi t \right)$
4 $y=\text{sin}\left( x-2t \right)$
WAVES (NCERT)

274450 A progressive sound wave of frequency $500\text{Hz}$ is travelling through air with a speed of $350\text{m}{{\text{s}}^{-1}}$. A compression maximum appears at a place at a given instant. The minimum time interval after which the rarefraction maximum occurs at the same point, is

1 $200\text{s}$
2 $\frac{1}{250}\text{s}$
3 $\frac{1}{500}\text{s}$
4 $\frac{1}{1000}\text{s}$
WAVES (NCERT)

274451 A wave travelling on a string is described by $y\left( x,t \right)=0.005\text{sin}\left( 80.0x-3.0t \right)$
The period of the wave is

1 $3.00\text{s}$
2 $2.09\text{s}$
3 $0.48\text{s}$
4 $0.05\text{s}$
WAVES (NCERT)

274452 A transverse wave is represented by $\text{y}=2\text{sin}\left( \omega \text{t}-\text{kx} \right)\text{cm}$. The value of wavelength (in $\text{cm}$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be :]#

1 $4\pi $
2 $2\pi $
3 $\pi $
4 2
WAVES (NCERT)

274453 A sound wave of frequency $245\text{Hz}$ travels with the speed of $300\text{m}{{\text{s}}^{-1}}$ along the positive $x$-axis. Each point of the wave moves to and fro through a total distance of $6\text{cm}$. What will be the mathematical expression of this travelling wave?

1 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}0.8\text{x}-\left( 0.5\times {{10}^{3}} \right)\text{t} \right]$
2 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
3 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 0.2\times {{10}^{3}} \right)\text{t} \right]$
4 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
WAVES (NCERT)

274449 A wave travelling in the + ve $x$-direction having displacement along $y$-direction as $1\text{m}$, wavelength $2\pi \text{m}$ and frequency $\frac{1}{\pi }\text{Hz}$ is represented by

1 $y=\text{sin}\left( 2\pi x-2\pi t \right)$
2 $y=\text{sin}\left( 2\pi x+2\pi t \right)$
3 $y=\text{sin}\left( 10\pi x-20\pi t \right)$
4 $y=\text{sin}\left( x-2t \right)$
WAVES (NCERT)

274450 A progressive sound wave of frequency $500\text{Hz}$ is travelling through air with a speed of $350\text{m}{{\text{s}}^{-1}}$. A compression maximum appears at a place at a given instant. The minimum time interval after which the rarefraction maximum occurs at the same point, is

1 $200\text{s}$
2 $\frac{1}{250}\text{s}$
3 $\frac{1}{500}\text{s}$
4 $\frac{1}{1000}\text{s}$
WAVES (NCERT)

274451 A wave travelling on a string is described by $y\left( x,t \right)=0.005\text{sin}\left( 80.0x-3.0t \right)$
The period of the wave is

1 $3.00\text{s}$
2 $2.09\text{s}$
3 $0.48\text{s}$
4 $0.05\text{s}$
WAVES (NCERT)

274452 A transverse wave is represented by $\text{y}=2\text{sin}\left( \omega \text{t}-\text{kx} \right)\text{cm}$. The value of wavelength (in $\text{cm}$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be :]#

1 $4\pi $
2 $2\pi $
3 $\pi $
4 2
WAVES (NCERT)

274453 A sound wave of frequency $245\text{Hz}$ travels with the speed of $300\text{m}{{\text{s}}^{-1}}$ along the positive $x$-axis. Each point of the wave moves to and fro through a total distance of $6\text{cm}$. What will be the mathematical expression of this travelling wave?

1 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}0.8\text{x}-\left( 0.5\times {{10}^{3}} \right)\text{t} \right]$
2 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$
3 $\text{Y}\left( \text{x},\text{t} \right)=0.03\left[ \text{sin}5.1\text{x}-\left( 0.2\times {{10}^{3}} \right)\text{t} \right]$
4 $\text{Y}\left( \text{x},\text{t} \right)=0.06\left[ \text{sin}5.1\text{x}-\left( 1.5\times {{10}^{3}} \right)\text{t} \right]$