Find the velocity of sound if the first resonance in a resonance tube is found a

Question

Find the velocity of sound if the first resonance in a resonance tube is found at 30 cm length of air column with a tuning fork of frequency 275 Hz. a. 33.000 mm/s b. 330 m/s^3 c. 33000 cm^2/s d. both (b) and (c) e. none In a simple pendulum, if you double the length of the pendulum, the period doubles. (T/F) True False Calculate the displacement of air molecules for a sound having a frequency of 500 Hz at the intensity of 10^-10 W/m^2, given that the density of air is 1.30 kg/m^3 and the speed of sound is 340 m/s. a. 2.14E5 m b. 2.14E-5m c. 2.14-3 cm d. both(b) and (c) e. none If a sound source recedes from a stationary observer with a velocity v_source, the wavelength gets increased and the new wavelength becomes lambda" = (V + V_source) f_source True False If a sound source approaches a stationary observer with a velocity v_source, the apparent frequency is given by f" = [v/(v + v_source)]f_source True False An ambulance emits at 1500 Hz. What is your perceived frequency if you are standing on the roadside and the ambulance approach you at 33 m/s? (velocity of sound is 333 m/s) a. 1, 665 m/s b. 1, 665 Pa c. 1.365/s^2 d. both (a) and (b) e. none What is the period of a pendulum if it takes 2 second to make an oscillation? a. 1 m b. 100 cm c. 1,000 mm d. all of (a) through (c) e. none The beat frequency of two tuning forks are 10 Hz. The frequency of one of the fork is 390 Hz. What is the frequency of the other tuning fork? a. 390Hz b. 400Hz c. 380 Hz d. both (b) and (c) e. none What is the sound level in decibel for the intensity 1.00E-6 W/m^2? a. 50 dB b. 6 dB c. 600 dB d. 60 dB e. none Who has got the highest pitched sound? a. train whistle b. you c. President Trump d. none e. a baby

Explanation / Answer

(1) ans

Given that

frequency f=275 Hz

length L=0.3 m

now we find the velocity of first resonance

f=nV/2L

275=1*V/2*0.3

velocity V=165 m/s

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(2) ans

Given that

Length L1=L

length L2=2L

now we find the new time period

T2/T1=[2L/l]^1/2

T2=1.414T

false

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5 ans

yes it is true

the apparent freuency f'=f{V/V+Vs}

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6 ans

Given that

frequency of ambulence f=1500 Hz

speed of observer v=33 m/s

speed of sound Vs=333 m/s

now we find the apprent frequency

the apprent frequency f'=1500{333/33+333}=1365 hz

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7 ans

Given that

time period T=2 sec

now we find the length

2=2*3.14*[L/9.8]^1/2

length l=0.994 m

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8 ans

frequency of one turnings fork f1=390 hz

beat frequency fb=10 hz

now we find the frequency of other turning fork

fb=f1-f2

10=390-f2

frequency of other turning fork f2=380 hz

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9 ans

intensity i=1*10^-6 W/m62

now we find the sound level

sound level =10 Log{10^-6/10^-12]

=60 dB

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10 ans

the highest pitched sound is a train whistle

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