Superposition of Transverse Waves
PHXI15:WAVES

355199 Assertion :
A standing wave pattern is formed in a string. The power transfer through a point (other than node and antinode) is zero always.
Reason :
At antinode displacement is maximum

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355200 The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by \(y = 2\;cm\sin \left[ {\left( {0.6\;c{m^{ - 1}}} \right)x} \right]\cos \left[ {\left( {500\pi {s^{ - 1}}} \right)t} \right]\) The length of the string is

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

355201 The length of the wire shown in Fig. between the pulley and fixed support is \(1.5\;m\) and mass is \(12.0\;g\) the frequency of vibration with which the wire vibrate in two loops leaving the middle point of the wire between the pulleys at rest is:
supporting img

1 \(100\;Hz\)
2 \(300\;Hz\)
3 \(1000\;Hz\)
4 \(700\;Hz\)
PHXI15:WAVES

355202 Superposition of two waves \(y_{1}=A \sin (\omega t-k x)\) and \(y_{2}=-A \sin (\omega t+k x)\) gives \(a\) :

1 Wave of constant amplitude
2 Stationary wave
3 Travelling wave
4 Beating wave
PHXI15:WAVES

355199 Assertion :
A standing wave pattern is formed in a string. The power transfer through a point (other than node and antinode) is zero always.
Reason :
At antinode displacement is maximum

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355200 The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by \(y = 2\;cm\sin \left[ {\left( {0.6\;c{m^{ - 1}}} \right)x} \right]\cos \left[ {\left( {500\pi {s^{ - 1}}} \right)t} \right]\) The length of the string is

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

355201 The length of the wire shown in Fig. between the pulley and fixed support is \(1.5\;m\) and mass is \(12.0\;g\) the frequency of vibration with which the wire vibrate in two loops leaving the middle point of the wire between the pulleys at rest is:
supporting img

1 \(100\;Hz\)
2 \(300\;Hz\)
3 \(1000\;Hz\)
4 \(700\;Hz\)
PHXI15:WAVES

355202 Superposition of two waves \(y_{1}=A \sin (\omega t-k x)\) and \(y_{2}=-A \sin (\omega t+k x)\) gives \(a\) :

1 Wave of constant amplitude
2 Stationary wave
3 Travelling wave
4 Beating wave
PHXI15:WAVES

355199 Assertion :
A standing wave pattern is formed in a string. The power transfer through a point (other than node and antinode) is zero always.
Reason :
At antinode displacement is maximum

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355200 The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by \(y = 2\;cm\sin \left[ {\left( {0.6\;c{m^{ - 1}}} \right)x} \right]\cos \left[ {\left( {500\pi {s^{ - 1}}} \right)t} \right]\) The length of the string is

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

355201 The length of the wire shown in Fig. between the pulley and fixed support is \(1.5\;m\) and mass is \(12.0\;g\) the frequency of vibration with which the wire vibrate in two loops leaving the middle point of the wire between the pulleys at rest is:
supporting img

1 \(100\;Hz\)
2 \(300\;Hz\)
3 \(1000\;Hz\)
4 \(700\;Hz\)
PHXI15:WAVES

355202 Superposition of two waves \(y_{1}=A \sin (\omega t-k x)\) and \(y_{2}=-A \sin (\omega t+k x)\) gives \(a\) :

1 Wave of constant amplitude
2 Stationary wave
3 Travelling wave
4 Beating wave
PHXI15:WAVES

355199 Assertion :
A standing wave pattern is formed in a string. The power transfer through a point (other than node and antinode) is zero always.
Reason :
At antinode displacement is maximum

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355200 The equation for the vibration of a string fixed at both ends vibrating in its third harmonic is given by \(y = 2\;cm\sin \left[ {\left( {0.6\;c{m^{ - 1}}} \right)x} \right]\cos \left[ {\left( {500\pi {s^{ - 1}}} \right)t} \right]\) The length of the string is

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

355201 The length of the wire shown in Fig. between the pulley and fixed support is \(1.5\;m\) and mass is \(12.0\;g\) the frequency of vibration with which the wire vibrate in two loops leaving the middle point of the wire between the pulleys at rest is:
supporting img

1 \(100\;Hz\)
2 \(300\;Hz\)
3 \(1000\;Hz\)
4 \(700\;Hz\)
PHXI15:WAVES

355202 Superposition of two waves \(y_{1}=A \sin (\omega t-k x)\) and \(y_{2}=-A \sin (\omega t+k x)\) gives \(a\) :

1 Wave of constant amplitude
2 Stationary wave
3 Travelling wave
4 Beating wave