Standing Waves
PHXI15:WAVES

354916 An organ pipe of length \({L}\) is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are

1 \({4 L, 2 L, L}\)
2 \({2 L, L, L / 2}\)
3 \({2 L, L, 2 L / 3}\)
4 \({4 L, 4 L / 3,4 L / 5}\)
PHXI15:WAVES

354917 A tuning fork of frequency \(340\;Hz\) is vibrated just above the tube of \(129\;cm\) height. Water is poured slowly in the tube. The minimum height of water necessary for the resonance (speed of sound in the air \( = 340\;m/\sec \)) is

1 \(25\;cm\)
2 \(15\;cm\)
3 \(45\;cm\)
4 \(30\;cm\)
PHXI15:WAVES

354918 The equation for the fundamental standing sound wave in a tube that is closed at both ends. If the tube is \(80\,cm\) long and speed of the wave is 330 \(m/s\) is (assume that amplitude of wave at antinode to be \({S_0})\)

1 \(y=S_{0} \cos (393 t) \sin (1295 x)\)
2 \(y=S_{0} \sin (768 t) \cos (1295 x)\)
3 \(y=S_{0} \cos (768 t) \sin (1295 x)\)
4 \(y=S_{0} \cos (1294 t) \sin (3.93 x)\)
PHXI15:WAVES

354919 A closed organ pipe of length \(1.2\;m\) vibrates in its first overtone mode. The pressure variation is maximum at

1 \(0.4\;m\) from the open end
2 \(0.4\;m\) from the closed end
3 Both (1) and (2)
4 \(0.8\;m\) from the open end
PHXI15:WAVES

354916 An organ pipe of length \({L}\) is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are

1 \({4 L, 2 L, L}\)
2 \({2 L, L, L / 2}\)
3 \({2 L, L, 2 L / 3}\)
4 \({4 L, 4 L / 3,4 L / 5}\)
PHXI15:WAVES

354917 A tuning fork of frequency \(340\;Hz\) is vibrated just above the tube of \(129\;cm\) height. Water is poured slowly in the tube. The minimum height of water necessary for the resonance (speed of sound in the air \( = 340\;m/\sec \)) is

1 \(25\;cm\)
2 \(15\;cm\)
3 \(45\;cm\)
4 \(30\;cm\)
PHXI15:WAVES

354918 The equation for the fundamental standing sound wave in a tube that is closed at both ends. If the tube is \(80\,cm\) long and speed of the wave is 330 \(m/s\) is (assume that amplitude of wave at antinode to be \({S_0})\)

1 \(y=S_{0} \cos (393 t) \sin (1295 x)\)
2 \(y=S_{0} \sin (768 t) \cos (1295 x)\)
3 \(y=S_{0} \cos (768 t) \sin (1295 x)\)
4 \(y=S_{0} \cos (1294 t) \sin (3.93 x)\)
PHXI15:WAVES

354919 A closed organ pipe of length \(1.2\;m\) vibrates in its first overtone mode. The pressure variation is maximum at

1 \(0.4\;m\) from the open end
2 \(0.4\;m\) from the closed end
3 Both (1) and (2)
4 \(0.8\;m\) from the open end
PHXI15:WAVES

354916 An organ pipe of length \({L}\) is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are

1 \({4 L, 2 L, L}\)
2 \({2 L, L, L / 2}\)
3 \({2 L, L, 2 L / 3}\)
4 \({4 L, 4 L / 3,4 L / 5}\)
PHXI15:WAVES

354917 A tuning fork of frequency \(340\;Hz\) is vibrated just above the tube of \(129\;cm\) height. Water is poured slowly in the tube. The minimum height of water necessary for the resonance (speed of sound in the air \( = 340\;m/\sec \)) is

1 \(25\;cm\)
2 \(15\;cm\)
3 \(45\;cm\)
4 \(30\;cm\)
PHXI15:WAVES

354918 The equation for the fundamental standing sound wave in a tube that is closed at both ends. If the tube is \(80\,cm\) long and speed of the wave is 330 \(m/s\) is (assume that amplitude of wave at antinode to be \({S_0})\)

1 \(y=S_{0} \cos (393 t) \sin (1295 x)\)
2 \(y=S_{0} \sin (768 t) \cos (1295 x)\)
3 \(y=S_{0} \cos (768 t) \sin (1295 x)\)
4 \(y=S_{0} \cos (1294 t) \sin (3.93 x)\)
PHXI15:WAVES

354919 A closed organ pipe of length \(1.2\;m\) vibrates in its first overtone mode. The pressure variation is maximum at

1 \(0.4\;m\) from the open end
2 \(0.4\;m\) from the closed end
3 Both (1) and (2)
4 \(0.8\;m\) from the open end
PHXI15:WAVES

354916 An organ pipe of length \({L}\) is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are

1 \({4 L, 2 L, L}\)
2 \({2 L, L, L / 2}\)
3 \({2 L, L, 2 L / 3}\)
4 \({4 L, 4 L / 3,4 L / 5}\)
PHXI15:WAVES

354917 A tuning fork of frequency \(340\;Hz\) is vibrated just above the tube of \(129\;cm\) height. Water is poured slowly in the tube. The minimum height of water necessary for the resonance (speed of sound in the air \( = 340\;m/\sec \)) is

1 \(25\;cm\)
2 \(15\;cm\)
3 \(45\;cm\)
4 \(30\;cm\)
PHXI15:WAVES

354918 The equation for the fundamental standing sound wave in a tube that is closed at both ends. If the tube is \(80\,cm\) long and speed of the wave is 330 \(m/s\) is (assume that amplitude of wave at antinode to be \({S_0})\)

1 \(y=S_{0} \cos (393 t) \sin (1295 x)\)
2 \(y=S_{0} \sin (768 t) \cos (1295 x)\)
3 \(y=S_{0} \cos (768 t) \sin (1295 x)\)
4 \(y=S_{0} \cos (1294 t) \sin (3.93 x)\)
PHXI15:WAVES

354919 A closed organ pipe of length \(1.2\;m\) vibrates in its first overtone mode. The pressure variation is maximum at

1 \(0.4\;m\) from the open end
2 \(0.4\;m\) from the closed end
3 Both (1) and (2)
4 \(0.8\;m\) from the open end