Standing Waves
PHXI15:WAVES

354882 A massless rod is suspended by two identical strings \(AB\) and \(CD\) of equal length. A block of mass \(m\) is suspended from point \(O\) such that \(BO\) is equal to ' \(x\) 'Further, it is observed that the frequency of \(1^{\text {st }}\) harmonic (fundamental frequency) in \(AB\) is equal to \(2^{\text {nd }}\) harmonic frequency in \(CD\). Then, length of \(BO\) is
supporting img

1 \(L / 4\)
2 \(L/5\)
3 \(4\;L/5\)
4 \(3\;L/4\)
PHXI15:WAVES

354883 If two antinodes are observed on either side of \(C\), the frequency of the mode in which the rod is vibrating will be
\(\left( {Y = 2 \times {{10}^{11}}\;N/{m^2},d = 8 \times {{10}^3}\;kg/{m^2}} \right)\)
supporting img

1 \(1000\;Hz\)
2 \(6000\;Hz\)
3 \(7000\;Hz\)
4 \(1500\;Hz\)
PHXI15:WAVES

354884 A \(100\,cm\) long steel rod is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod is \(2.53\,kHz\). What is the speed of sound in steel?

1 \({2.53 {~km} / {s}}\)
2 \({5.06 {~km} / {s}}\)
3 \({10.12 {~km} / {s}}\)
4 \({20.24 {~km} / {s}}\)
PHXI15:WAVES

354885 Assertion :
The speed of sound in solids is maximum though their density is large.
Reason :
The coefficient of elasticity of solid is large.

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.
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PHXI15:WAVES

354882 A massless rod is suspended by two identical strings \(AB\) and \(CD\) of equal length. A block of mass \(m\) is suspended from point \(O\) such that \(BO\) is equal to ' \(x\) 'Further, it is observed that the frequency of \(1^{\text {st }}\) harmonic (fundamental frequency) in \(AB\) is equal to \(2^{\text {nd }}\) harmonic frequency in \(CD\). Then, length of \(BO\) is
supporting img

1 \(L / 4\)
2 \(L/5\)
3 \(4\;L/5\)
4 \(3\;L/4\)
PHXI15:WAVES

354883 If two antinodes are observed on either side of \(C\), the frequency of the mode in which the rod is vibrating will be
\(\left( {Y = 2 \times {{10}^{11}}\;N/{m^2},d = 8 \times {{10}^3}\;kg/{m^2}} \right)\)
supporting img

1 \(1000\;Hz\)
2 \(6000\;Hz\)
3 \(7000\;Hz\)
4 \(1500\;Hz\)
PHXI15:WAVES

354884 A \(100\,cm\) long steel rod is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod is \(2.53\,kHz\). What is the speed of sound in steel?

1 \({2.53 {~km} / {s}}\)
2 \({5.06 {~km} / {s}}\)
3 \({10.12 {~km} / {s}}\)
4 \({20.24 {~km} / {s}}\)
PHXI15:WAVES

354885 Assertion :
The speed of sound in solids is maximum though their density is large.
Reason :
The coefficient of elasticity of solid is large.

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

354882 A massless rod is suspended by two identical strings \(AB\) and \(CD\) of equal length. A block of mass \(m\) is suspended from point \(O\) such that \(BO\) is equal to ' \(x\) 'Further, it is observed that the frequency of \(1^{\text {st }}\) harmonic (fundamental frequency) in \(AB\) is equal to \(2^{\text {nd }}\) harmonic frequency in \(CD\). Then, length of \(BO\) is
supporting img

1 \(L / 4\)
2 \(L/5\)
3 \(4\;L/5\)
4 \(3\;L/4\)
PHXI15:WAVES

354883 If two antinodes are observed on either side of \(C\), the frequency of the mode in which the rod is vibrating will be
\(\left( {Y = 2 \times {{10}^{11}}\;N/{m^2},d = 8 \times {{10}^3}\;kg/{m^2}} \right)\)
supporting img

1 \(1000\;Hz\)
2 \(6000\;Hz\)
3 \(7000\;Hz\)
4 \(1500\;Hz\)
PHXI15:WAVES

354884 A \(100\,cm\) long steel rod is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod is \(2.53\,kHz\). What is the speed of sound in steel?

1 \({2.53 {~km} / {s}}\)
2 \({5.06 {~km} / {s}}\)
3 \({10.12 {~km} / {s}}\)
4 \({20.24 {~km} / {s}}\)
PHXI15:WAVES

354885 Assertion :
The speed of sound in solids is maximum though their density is large.
Reason :
The coefficient of elasticity of solid is large.

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

354882 A massless rod is suspended by two identical strings \(AB\) and \(CD\) of equal length. A block of mass \(m\) is suspended from point \(O\) such that \(BO\) is equal to ' \(x\) 'Further, it is observed that the frequency of \(1^{\text {st }}\) harmonic (fundamental frequency) in \(AB\) is equal to \(2^{\text {nd }}\) harmonic frequency in \(CD\). Then, length of \(BO\) is
supporting img

1 \(L / 4\)
2 \(L/5\)
3 \(4\;L/5\)
4 \(3\;L/4\)
PHXI15:WAVES

354883 If two antinodes are observed on either side of \(C\), the frequency of the mode in which the rod is vibrating will be
\(\left( {Y = 2 \times {{10}^{11}}\;N/{m^2},d = 8 \times {{10}^3}\;kg/{m^2}} \right)\)
supporting img

1 \(1000\;Hz\)
2 \(6000\;Hz\)
3 \(7000\;Hz\)
4 \(1500\;Hz\)
PHXI15:WAVES

354884 A \(100\,cm\) long steel rod is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod is \(2.53\,kHz\). What is the speed of sound in steel?

1 \({2.53 {~km} / {s}}\)
2 \({5.06 {~km} / {s}}\)
3 \({10.12 {~km} / {s}}\)
4 \({20.24 {~km} / {s}}\)
PHXI15:WAVES

354885 Assertion :
The speed of sound in solids is maximum though their density is large.
Reason :
The coefficient of elasticity of solid is large.

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.