Characteristics of Sound Waves
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PHXI15:WAVES

354678 Newton assumed that sound propagation in a gas takes under

1 Isothermal condition
2 adiabatic condition
3 isobaric condition
4 Isentropic condition
PHXI15:WAVES

354679 The temperature of a mono-atomic gas in an uniform container of length ' \(L\) ' varies linearly from \(T_{0}\) to \(T_{L}\) as shown in the figure. If the molecular weight of the gas is \({M_0}\), then the time taken by a wave pulse in travelling from end \(A\) to end \(B\) is
supporting img

1 \(\frac{{2L}}{{\left( {\sqrt {{T_L}} + \sqrt {{T_0}} } \right)}}\sqrt {\frac{{3{M_0}}}{{5R}}} \)
2 \(\sqrt {\frac{{3\left( {\;{T_L} - {T_0}} \right)}}{{5R{M_0}\;L}}} \)
3 \(\frac{{2L}}{{\left( {\sqrt {{T_L}} - \sqrt {{T_0}} } \right)}}\sqrt {\frac{{3{M_0}}}{{5R}}} \)
4 \(\sqrt {\frac{{{M_0}}}{{2R\left( {{T_L} - {T_0}} \right)}}} \)
PHXI15:WAVES

354680 If at the same temperature and pressure, the densities for two diatomic gases are respectively \(d_{1}\) and \(d_{2}\), then the ratio of velocities of sound in these gases will be

1 \(\sqrt{\dfrac{d_{1}}{d_{2}}}\)
2 \(\sqrt{\dfrac{d_{2}}{d_{1}}}\)
3 \(\sqrt{d_{1} d_{2}}\)
4 \(d_{1} d_{2}\)
PHXI15:WAVES

354681 The velocity of sound is \(v_{s}\) in air. If the density of air is increased to 4 times at constant pressure, then the new velocity of sound will be

1 \(\dfrac{v_{s}}{2}\)
2 \(\dfrac{3}{2} v_{s}^{2}\)
3 \(12 v_{s}\)
4 \(\dfrac{v_{s}}{12}\)
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PHXI15:WAVES

354678 Newton assumed that sound propagation in a gas takes under

1 Isothermal condition
2 adiabatic condition
3 isobaric condition
4 Isentropic condition
PHXI15:WAVES

354679 The temperature of a mono-atomic gas in an uniform container of length ' \(L\) ' varies linearly from \(T_{0}\) to \(T_{L}\) as shown in the figure. If the molecular weight of the gas is \({M_0}\), then the time taken by a wave pulse in travelling from end \(A\) to end \(B\) is
supporting img

1 \(\frac{{2L}}{{\left( {\sqrt {{T_L}} + \sqrt {{T_0}} } \right)}}\sqrt {\frac{{3{M_0}}}{{5R}}} \)
2 \(\sqrt {\frac{{3\left( {\;{T_L} - {T_0}} \right)}}{{5R{M_0}\;L}}} \)
3 \(\frac{{2L}}{{\left( {\sqrt {{T_L}} - \sqrt {{T_0}} } \right)}}\sqrt {\frac{{3{M_0}}}{{5R}}} \)
4 \(\sqrt {\frac{{{M_0}}}{{2R\left( {{T_L} - {T_0}} \right)}}} \)
PHXI15:WAVES

354680 If at the same temperature and pressure, the densities for two diatomic gases are respectively \(d_{1}\) and \(d_{2}\), then the ratio of velocities of sound in these gases will be

1 \(\sqrt{\dfrac{d_{1}}{d_{2}}}\)
2 \(\sqrt{\dfrac{d_{2}}{d_{1}}}\)
3 \(\sqrt{d_{1} d_{2}}\)
4 \(d_{1} d_{2}\)
PHXI15:WAVES

354681 The velocity of sound is \(v_{s}\) in air. If the density of air is increased to 4 times at constant pressure, then the new velocity of sound will be

1 \(\dfrac{v_{s}}{2}\)
2 \(\dfrac{3}{2} v_{s}^{2}\)
3 \(12 v_{s}\)
4 \(\dfrac{v_{s}}{12}\)
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PHXI15:WAVES

354678 Newton assumed that sound propagation in a gas takes under

1 Isothermal condition
2 adiabatic condition
3 isobaric condition
4 Isentropic condition
PHXI15:WAVES

354679 The temperature of a mono-atomic gas in an uniform container of length ' \(L\) ' varies linearly from \(T_{0}\) to \(T_{L}\) as shown in the figure. If the molecular weight of the gas is \({M_0}\), then the time taken by a wave pulse in travelling from end \(A\) to end \(B\) is
supporting img

1 \(\frac{{2L}}{{\left( {\sqrt {{T_L}} + \sqrt {{T_0}} } \right)}}\sqrt {\frac{{3{M_0}}}{{5R}}} \)
2 \(\sqrt {\frac{{3\left( {\;{T_L} - {T_0}} \right)}}{{5R{M_0}\;L}}} \)
3 \(\frac{{2L}}{{\left( {\sqrt {{T_L}} - \sqrt {{T_0}} } \right)}}\sqrt {\frac{{3{M_0}}}{{5R}}} \)
4 \(\sqrt {\frac{{{M_0}}}{{2R\left( {{T_L} - {T_0}} \right)}}} \)
PHXI15:WAVES

354680 If at the same temperature and pressure, the densities for two diatomic gases are respectively \(d_{1}\) and \(d_{2}\), then the ratio of velocities of sound in these gases will be

1 \(\sqrt{\dfrac{d_{1}}{d_{2}}}\)
2 \(\sqrt{\dfrac{d_{2}}{d_{1}}}\)
3 \(\sqrt{d_{1} d_{2}}\)
4 \(d_{1} d_{2}\)
PHXI15:WAVES

354681 The velocity of sound is \(v_{s}\) in air. If the density of air is increased to 4 times at constant pressure, then the new velocity of sound will be

1 \(\dfrac{v_{s}}{2}\)
2 \(\dfrac{3}{2} v_{s}^{2}\)
3 \(12 v_{s}\)
4 \(\dfrac{v_{s}}{12}\)
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PHXI15:WAVES

354678 Newton assumed that sound propagation in a gas takes under

1 Isothermal condition
2 adiabatic condition
3 isobaric condition
4 Isentropic condition
PHXI15:WAVES

354679 The temperature of a mono-atomic gas in an uniform container of length ' \(L\) ' varies linearly from \(T_{0}\) to \(T_{L}\) as shown in the figure. If the molecular weight of the gas is \({M_0}\), then the time taken by a wave pulse in travelling from end \(A\) to end \(B\) is
supporting img

1 \(\frac{{2L}}{{\left( {\sqrt {{T_L}} + \sqrt {{T_0}} } \right)}}\sqrt {\frac{{3{M_0}}}{{5R}}} \)
2 \(\sqrt {\frac{{3\left( {\;{T_L} - {T_0}} \right)}}{{5R{M_0}\;L}}} \)
3 \(\frac{{2L}}{{\left( {\sqrt {{T_L}} - \sqrt {{T_0}} } \right)}}\sqrt {\frac{{3{M_0}}}{{5R}}} \)
4 \(\sqrt {\frac{{{M_0}}}{{2R\left( {{T_L} - {T_0}} \right)}}} \)
PHXI15:WAVES

354680 If at the same temperature and pressure, the densities for two diatomic gases are respectively \(d_{1}\) and \(d_{2}\), then the ratio of velocities of sound in these gases will be

1 \(\sqrt{\dfrac{d_{1}}{d_{2}}}\)
2 \(\sqrt{\dfrac{d_{2}}{d_{1}}}\)
3 \(\sqrt{d_{1} d_{2}}\)
4 \(d_{1} d_{2}\)
PHXI15:WAVES

354681 The velocity of sound is \(v_{s}\) in air. If the density of air is increased to 4 times at constant pressure, then the new velocity of sound will be

1 \(\dfrac{v_{s}}{2}\)
2 \(\dfrac{3}{2} v_{s}^{2}\)
3 \(12 v_{s}\)
4 \(\dfrac{v_{s}}{12}\)
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