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question_answer1) A musician using an open flute of length 50 cm produces second harmonic sound waves. A person runs towards the musician from another end of a hall at a speed of 10 km/h. If the wave speed is 330 m/s, the frequency (in Hz) heard by the running person shall be
question_answer2) A closed organ pipe has a fundamental frequency of 1.5 kHz. The number of overtones that can be distinctly heard by a person with this organ pipe will be: (Assume that the highest frequency a person can hear is 20,000 Hz)
question_answer3) Equation of travelling wave on a stretched string of linear density 5 g/m is \[y=0.03\text{ }sin\left( 450t-9x \right)\]where distance and time are measured in SI units. The tension (in N) in the string is:
question_answer4) A source of sound is moving along a circular orbit of radius 3 m with an angular velocity of 10 rad/s. A sound detector located far away from the source is executing linear simple harmonic motion along the line BD with an amplitude\[BC=CD=6\text{ }m\]. The frequency of oscillation of the detector is \[5/\pi \] per second. The source is at the point A when the detector is at the point B. If the source emits a continuous sound wave of frequency 340 Hz, find the minimum frequencies (in Hz) recorded by the detector.
question_answer5) Two cars A and B are moving away from each other in opposite directions. Both the cars are moving with a speed of 20 \[m{{s}^{-1}}\] with respect to the ground. If an observer in car A detects a frequency 2000 Hz of the sound coming from car B, what is the natural frequency (in Hz) of the sound source in car B? (speed of sound in air\[=340m{{s}^{-1}}\])
question_answer6) The amplitude of a wave disturbance propagating along positive x - axis is given by \[y=\frac{1}{(1+{{x}^{2}})}\] at t = 0 and \[y=\frac{1}{1+{{(x-2)}^{2}}}\] at \[t=4\text{ }s\], where x and y are in metre. The shape of wave disturbance does not change with time. Find velocity (in m/s) of the wave.
question_answer7) A tuning fork of frequency 220 Hz produces sound waves of wavelength 1.5 m in air at STP. Calculate the increase in wavelength, (in metre) when temperature of air is \[27\text{ }{}^\circ C.\]
question_answer8) A sample of oxygen at NTP has volume V and a sample of hydrogen at NTP has volume 4 V. Both the gases are mixed and the mixture is maintained at NTP. If the speed of sound in hydrogen at NTP is 1270 m/s, calculate the speed of sound (in m/s) in the mixture.
question_answer9) A glass tube 1.0 m length is filled with water. The water can be drained out slowly at the bottom of the tube. If a vibrating tunning fork of frequency 500 c/s is brought at the upper end of the tube and the velocity of sound is 330 m/s, then the total number of resonances obtained will be
question_answer10) Pipe A has length twice the pipe B. Pipe A has both ends open and pipe B has one end open. Which harmonics of pipe A have a frequency that matches a resonance frequency of pipe B
question_answer11) A string is clamped at both the ends and it is vibrating in its \[{{4}^{th}}\] harmonic. The equation of the stationary wave is\[Y=0.3\sin (0.157x)cos(200\pi t)\]. The length (in metre) of the string is: (All quantities are in SI units.)
question_answer12) A road runs between two parallel rows of buildings. A motorist moving just in the middle with a velocity of 30 km/ h, sounds the hom. He hears an echo one second after sounding the horn. Find the distance (in metre) between the two rows of the buildings. The velocity of sound\[=330\text{ }m/s.\]
question_answer13) One metre long wire is fixed between two rigid supports. The tension is the wire is 200 N and mass per unit length of the wire is\[\mu =2x\], where x is the distance from one end of the wire. Find the time (in second) the pulse takes to reach the other end of the wire.
question_answer14) A train approaching a railway crossing at a speed of 120 km/h sounds a short whistle at frequency 640 Hz when it is 300 m away from the crossing. The speed of sound in air is 340 m/s. What will be the frequency (in Hz) heard by a person standing on a road perpendicular to the track through the crossing at a distance of 400 m from the crossing?
question_answer15) A string of length 40 cm and weighing 10 g is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of 160 N/m and is stretched by cm. If a wave pulse is produced on the string near the wall, the time it will take to reach the spring is\[\frac{1}{x}\]. The value of x (in second) is
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