Superposition of Transverse Waves
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI15:WAVES

355186 Find the wrong statement from the following about the equation of stationary wave given by \(Y=0.04 \cos (\pi x) \sin (50 \pi) m\) where \(t\) is in second. Then for the stationary wave

1 time period \( = 0.02\;s\)
2 wavelength \( = 2\;m\)
3 velocity \( = 50\;m/s\)
4 amplitude \( = 0.02\;m\)
PHXI15:WAVES

355187 A guitar string of length \(L\) is stretched between two fixed points \(P\) and \(Q\) and made to vibrate transversely as shown in the figure. Two particles \(A\) and \(B\) on the string are separated by a distance \(s\). The maximum kinetic energies of \(A\) and \(B\) are \(K_{A}\) and \(K_{B}\) respectively. Which of the following gives the correct phase difference and maximum kinetic energies of the particles?
supporting img

\[\begin{array}{*{20}{c}}
{{\text{phase}}\,{\text{difference}}}&{{\text{Maximum}}\,{\text{kinetic}}\,{\text{energy}}}
\end{array}\]

1 \[\begin{array}{*{20}{c}}
{\left( {\frac{{3s}}{{2L}}} \right) \times 360^\circ }&{{K_A} < {K_B}}
\end{array}\]
2 \[\begin{array}{*{20}{c}}
{\left( {\frac{{3s}}{{2L}}} \right) \times 360^\circ }&{{\text{same}}}
\end{array}\]
3 \[\begin{array}{*{20}{c}}
{180^\circ }&{\,\,\,\,\,\,\,\,\,\,\,{{\text{K}}_A} < {K_B}}
\end{array}\]
4 \[\begin{array}{*{20}{c}}
{180^\circ }&{\,\,\,\,\,\,\,\,\,\,\,\,{\text{same}}}
\end{array}\]
PHXI15:WAVES

355188 Which of the following statements are correct w.r.to standing waves.

1 There is no forward motion of the disturbance from one Particle to the other
2 The wavelength and time period of stationary waves are the same as for the component waves
3 The distance between two consecutive nodes is \(\dfrac{\lambda}{2}\)
4 All the above
PHXI15:WAVES

355189 The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by \(y=2 \cos (0.6 x) \sin (t)\)
The length of the string is

1 \(12.5\;cm\)
2 \(24.6\;cm\)
3 \(15.7\;cm\)
4 \(20.6\;cm\)
PHXI15:WAVES

355186 Find the wrong statement from the following about the equation of stationary wave given by \(Y=0.04 \cos (\pi x) \sin (50 \pi) m\) where \(t\) is in second. Then for the stationary wave

1 time period \( = 0.02\;s\)
2 wavelength \( = 2\;m\)
3 velocity \( = 50\;m/s\)
4 amplitude \( = 0.02\;m\)
PHXI15:WAVES

355187 A guitar string of length \(L\) is stretched between two fixed points \(P\) and \(Q\) and made to vibrate transversely as shown in the figure. Two particles \(A\) and \(B\) on the string are separated by a distance \(s\). The maximum kinetic energies of \(A\) and \(B\) are \(K_{A}\) and \(K_{B}\) respectively. Which of the following gives the correct phase difference and maximum kinetic energies of the particles?
supporting img

\[\begin{array}{*{20}{c}}
{{\text{phase}}\,{\text{difference}}}&{{\text{Maximum}}\,{\text{kinetic}}\,{\text{energy}}}
\end{array}\]

1 \[\begin{array}{*{20}{c}}
{\left( {\frac{{3s}}{{2L}}} \right) \times 360^\circ }&{{K_A} < {K_B}}
\end{array}\]
2 \[\begin{array}{*{20}{c}}
{\left( {\frac{{3s}}{{2L}}} \right) \times 360^\circ }&{{\text{same}}}
\end{array}\]
3 \[\begin{array}{*{20}{c}}
{180^\circ }&{\,\,\,\,\,\,\,\,\,\,\,{{\text{K}}_A} < {K_B}}
\end{array}\]
4 \[\begin{array}{*{20}{c}}
{180^\circ }&{\,\,\,\,\,\,\,\,\,\,\,\,{\text{same}}}
\end{array}\]
PHXI15:WAVES

355188 Which of the following statements are correct w.r.to standing waves.

1 There is no forward motion of the disturbance from one Particle to the other
2 The wavelength and time period of stationary waves are the same as for the component waves
3 The distance between two consecutive nodes is \(\dfrac{\lambda}{2}\)
4 All the above
PHXI15:WAVES

355189 The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by \(y=2 \cos (0.6 x) \sin (t)\)
The length of the string is

1 \(12.5\;cm\)
2 \(24.6\;cm\)
3 \(15.7\;cm\)
4 \(20.6\;cm\)
PHXI15:WAVES

355186 Find the wrong statement from the following about the equation of stationary wave given by \(Y=0.04 \cos (\pi x) \sin (50 \pi) m\) where \(t\) is in second. Then for the stationary wave

1 time period \( = 0.02\;s\)
2 wavelength \( = 2\;m\)
3 velocity \( = 50\;m/s\)
4 amplitude \( = 0.02\;m\)
PHXI15:WAVES

355187 A guitar string of length \(L\) is stretched between two fixed points \(P\) and \(Q\) and made to vibrate transversely as shown in the figure. Two particles \(A\) and \(B\) on the string are separated by a distance \(s\). The maximum kinetic energies of \(A\) and \(B\) are \(K_{A}\) and \(K_{B}\) respectively. Which of the following gives the correct phase difference and maximum kinetic energies of the particles?
supporting img

\[\begin{array}{*{20}{c}}
{{\text{phase}}\,{\text{difference}}}&{{\text{Maximum}}\,{\text{kinetic}}\,{\text{energy}}}
\end{array}\]

1 \[\begin{array}{*{20}{c}}
{\left( {\frac{{3s}}{{2L}}} \right) \times 360^\circ }&{{K_A} < {K_B}}
\end{array}\]
2 \[\begin{array}{*{20}{c}}
{\left( {\frac{{3s}}{{2L}}} \right) \times 360^\circ }&{{\text{same}}}
\end{array}\]
3 \[\begin{array}{*{20}{c}}
{180^\circ }&{\,\,\,\,\,\,\,\,\,\,\,{{\text{K}}_A} < {K_B}}
\end{array}\]
4 \[\begin{array}{*{20}{c}}
{180^\circ }&{\,\,\,\,\,\,\,\,\,\,\,\,{\text{same}}}
\end{array}\]
PHXI15:WAVES

355188 Which of the following statements are correct w.r.to standing waves.

1 There is no forward motion of the disturbance from one Particle to the other
2 The wavelength and time period of stationary waves are the same as for the component waves
3 The distance between two consecutive nodes is \(\dfrac{\lambda}{2}\)
4 All the above
PHXI15:WAVES

355189 The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by \(y=2 \cos (0.6 x) \sin (t)\)
The length of the string is

1 \(12.5\;cm\)
2 \(24.6\;cm\)
3 \(15.7\;cm\)
4 \(20.6\;cm\)
PHXI15:WAVES

355186 Find the wrong statement from the following about the equation of stationary wave given by \(Y=0.04 \cos (\pi x) \sin (50 \pi) m\) where \(t\) is in second. Then for the stationary wave

1 time period \( = 0.02\;s\)
2 wavelength \( = 2\;m\)
3 velocity \( = 50\;m/s\)
4 amplitude \( = 0.02\;m\)
PHXI15:WAVES

355187 A guitar string of length \(L\) is stretched between two fixed points \(P\) and \(Q\) and made to vibrate transversely as shown in the figure. Two particles \(A\) and \(B\) on the string are separated by a distance \(s\). The maximum kinetic energies of \(A\) and \(B\) are \(K_{A}\) and \(K_{B}\) respectively. Which of the following gives the correct phase difference and maximum kinetic energies of the particles?
supporting img

\[\begin{array}{*{20}{c}}
{{\text{phase}}\,{\text{difference}}}&{{\text{Maximum}}\,{\text{kinetic}}\,{\text{energy}}}
\end{array}\]

1 \[\begin{array}{*{20}{c}}
{\left( {\frac{{3s}}{{2L}}} \right) \times 360^\circ }&{{K_A} < {K_B}}
\end{array}\]
2 \[\begin{array}{*{20}{c}}
{\left( {\frac{{3s}}{{2L}}} \right) \times 360^\circ }&{{\text{same}}}
\end{array}\]
3 \[\begin{array}{*{20}{c}}
{180^\circ }&{\,\,\,\,\,\,\,\,\,\,\,{{\text{K}}_A} < {K_B}}
\end{array}\]
4 \[\begin{array}{*{20}{c}}
{180^\circ }&{\,\,\,\,\,\,\,\,\,\,\,\,{\text{same}}}
\end{array}\]
PHXI15:WAVES

355188 Which of the following statements are correct w.r.to standing waves.

1 There is no forward motion of the disturbance from one Particle to the other
2 The wavelength and time period of stationary waves are the same as for the component waves
3 The distance between two consecutive nodes is \(\dfrac{\lambda}{2}\)
4 All the above
PHXI15:WAVES

355189 The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by \(y=2 \cos (0.6 x) \sin (t)\)
The length of the string is

1 \(12.5\;cm\)
2 \(24.6\;cm\)
3 \(15.7\;cm\)
4 \(20.6\;cm\)