Superposition of Transverse Waves
PHXI15:WAVES

355147 Consider a string fixed at one end and free at the other end. The frequency of the 3rd overtone is ( \(l\) is the length and \(v\) is the velocity)

1 \(\dfrac{7 v}{4 l}\)
2 \(\dfrac{3 v}{4 l}\)
3 \(\dfrac{5 v}{4 l}\)
4 \(\dfrac{v}{4 l}\)
PHXI15:WAVES

355148 The particle displacement (in \(cm\) ) in a stationary wave is given by \(y(x, t)=2 \sin (0.1 \pi x) \cos (100 \pi t)\). The distance between a node and the next antiode is

1 \(10\,cm\)
2 \(5\,cm\)
3 \(2.5\,cm\)
4 \(7.5\,cm\)
PHXI15:WAVES

355149 Assertion :
Velocity of particles while crossing mean position (in stationary waves) is maximum at anti-nodes and zero at nodes.
Reason :
Amplitude of vibration at anti - nodes is maximum and at nodes, the amplitude is zero and all particles between two successive nodes cross the mean position together.

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 Both Assertion and Reason are incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355150 At a certain instant a stationary transverse wave is found to have maximum potential energy. The appearance of the string at that instant is a (each of the component waves have amplitude \(A\))

1 Sinusoidal shape with amplitude \(A/3\)
2 Sinusoidal shape with amplitude \(A / 2\)
3 Sinusoidal shape with amplitude \(2\;A\)
4 Straight line
PHXI15:WAVES

355151 Assertion :
In a small segment of string carrying sinusoidal wave, total energy is conserved.
Reason :
The stretch in the string is maximum at the mean position

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

355147 Consider a string fixed at one end and free at the other end. The frequency of the 3rd overtone is ( \(l\) is the length and \(v\) is the velocity)

1 \(\dfrac{7 v}{4 l}\)
2 \(\dfrac{3 v}{4 l}\)
3 \(\dfrac{5 v}{4 l}\)
4 \(\dfrac{v}{4 l}\)
PHXI15:WAVES

355148 The particle displacement (in \(cm\) ) in a stationary wave is given by \(y(x, t)=2 \sin (0.1 \pi x) \cos (100 \pi t)\). The distance between a node and the next antiode is

1 \(10\,cm\)
2 \(5\,cm\)
3 \(2.5\,cm\)
4 \(7.5\,cm\)
PHXI15:WAVES

355149 Assertion :
Velocity of particles while crossing mean position (in stationary waves) is maximum at anti-nodes and zero at nodes.
Reason :
Amplitude of vibration at anti - nodes is maximum and at nodes, the amplitude is zero and all particles between two successive nodes cross the mean position together.

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 Both Assertion and Reason are incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355150 At a certain instant a stationary transverse wave is found to have maximum potential energy. The appearance of the string at that instant is a (each of the component waves have amplitude \(A\))

1 Sinusoidal shape with amplitude \(A/3\)
2 Sinusoidal shape with amplitude \(A / 2\)
3 Sinusoidal shape with amplitude \(2\;A\)
4 Straight line
PHXI15:WAVES

355151 Assertion :
In a small segment of string carrying sinusoidal wave, total energy is conserved.
Reason :
The stretch in the string is maximum at the mean position

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

355147 Consider a string fixed at one end and free at the other end. The frequency of the 3rd overtone is ( \(l\) is the length and \(v\) is the velocity)

1 \(\dfrac{7 v}{4 l}\)
2 \(\dfrac{3 v}{4 l}\)
3 \(\dfrac{5 v}{4 l}\)
4 \(\dfrac{v}{4 l}\)
PHXI15:WAVES

355148 The particle displacement (in \(cm\) ) in a stationary wave is given by \(y(x, t)=2 \sin (0.1 \pi x) \cos (100 \pi t)\). The distance between a node and the next antiode is

1 \(10\,cm\)
2 \(5\,cm\)
3 \(2.5\,cm\)
4 \(7.5\,cm\)
PHXI15:WAVES

355149 Assertion :
Velocity of particles while crossing mean position (in stationary waves) is maximum at anti-nodes and zero at nodes.
Reason :
Amplitude of vibration at anti - nodes is maximum and at nodes, the amplitude is zero and all particles between two successive nodes cross the mean position together.

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 Both Assertion and Reason are incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355150 At a certain instant a stationary transverse wave is found to have maximum potential energy. The appearance of the string at that instant is a (each of the component waves have amplitude \(A\))

1 Sinusoidal shape with amplitude \(A/3\)
2 Sinusoidal shape with amplitude \(A / 2\)
3 Sinusoidal shape with amplitude \(2\;A\)
4 Straight line
PHXI15:WAVES

355151 Assertion :
In a small segment of string carrying sinusoidal wave, total energy is conserved.
Reason :
The stretch in the string is maximum at the mean position

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.
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI15:WAVES

355147 Consider a string fixed at one end and free at the other end. The frequency of the 3rd overtone is ( \(l\) is the length and \(v\) is the velocity)

1 \(\dfrac{7 v}{4 l}\)
2 \(\dfrac{3 v}{4 l}\)
3 \(\dfrac{5 v}{4 l}\)
4 \(\dfrac{v}{4 l}\)
PHXI15:WAVES

355148 The particle displacement (in \(cm\) ) in a stationary wave is given by \(y(x, t)=2 \sin (0.1 \pi x) \cos (100 \pi t)\). The distance between a node and the next antiode is

1 \(10\,cm\)
2 \(5\,cm\)
3 \(2.5\,cm\)
4 \(7.5\,cm\)
PHXI15:WAVES

355149 Assertion :
Velocity of particles while crossing mean position (in stationary waves) is maximum at anti-nodes and zero at nodes.
Reason :
Amplitude of vibration at anti - nodes is maximum and at nodes, the amplitude is zero and all particles between two successive nodes cross the mean position together.

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 Both Assertion and Reason are incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355150 At a certain instant a stationary transverse wave is found to have maximum potential energy. The appearance of the string at that instant is a (each of the component waves have amplitude \(A\))

1 Sinusoidal shape with amplitude \(A/3\)
2 Sinusoidal shape with amplitude \(A / 2\)
3 Sinusoidal shape with amplitude \(2\;A\)
4 Straight line
PHXI15:WAVES

355151 Assertion :
In a small segment of string carrying sinusoidal wave, total energy is conserved.
Reason :
The stretch in the string is maximum at the mean position

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

355147 Consider a string fixed at one end and free at the other end. The frequency of the 3rd overtone is ( \(l\) is the length and \(v\) is the velocity)

1 \(\dfrac{7 v}{4 l}\)
2 \(\dfrac{3 v}{4 l}\)
3 \(\dfrac{5 v}{4 l}\)
4 \(\dfrac{v}{4 l}\)
PHXI15:WAVES

355148 The particle displacement (in \(cm\) ) in a stationary wave is given by \(y(x, t)=2 \sin (0.1 \pi x) \cos (100 \pi t)\). The distance between a node and the next antiode is

1 \(10\,cm\)
2 \(5\,cm\)
3 \(2.5\,cm\)
4 \(7.5\,cm\)
PHXI15:WAVES

355149 Assertion :
Velocity of particles while crossing mean position (in stationary waves) is maximum at anti-nodes and zero at nodes.
Reason :
Amplitude of vibration at anti - nodes is maximum and at nodes, the amplitude is zero and all particles between two successive nodes cross the mean position together.

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 Both Assertion and Reason are incorrect.
4 Assertion is incorrect but reason is correct.
PHXI15:WAVES

355150 At a certain instant a stationary transverse wave is found to have maximum potential energy. The appearance of the string at that instant is a (each of the component waves have amplitude \(A\))

1 Sinusoidal shape with amplitude \(A/3\)
2 Sinusoidal shape with amplitude \(A / 2\)
3 Sinusoidal shape with amplitude \(2\;A\)
4 Straight line
PHXI15:WAVES

355151 Assertion :
In a small segment of string carrying sinusoidal wave, total energy is conserved.
Reason :
The stretch in the string is maximum at the mean position

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.