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.
Explanation:
At node \(v=0\), at antinode Tension \(\perp\) to velocity \(\therefore\) at both the points power \(=0(P=\vec{F} \cdot \vec{v})\). At other points \(P \neq 0\). At antinode displacement is maximum. So option (4) 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
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:
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.
Explanation:
At node \(v=0\), at antinode Tension \(\perp\) to velocity \(\therefore\) at both the points power \(=0(P=\vec{F} \cdot \vec{v})\). At other points \(P \neq 0\). At antinode displacement is maximum. So option (4) 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
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:
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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.
Explanation:
At node \(v=0\), at antinode Tension \(\perp\) to velocity \(\therefore\) at both the points power \(=0(P=\vec{F} \cdot \vec{v})\). At other points \(P \neq 0\). At antinode displacement is maximum. So option (4) 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
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:
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.
Explanation:
At node \(v=0\), at antinode Tension \(\perp\) to velocity \(\therefore\) at both the points power \(=0(P=\vec{F} \cdot \vec{v})\). At other points \(P \neq 0\). At antinode displacement is maximum. So option (4) 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
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: