Question

Some of the learning outcomes of this course are to "describe vibrations, waves, sound, and musical sounds both qualitatively and quantitatively" and to "describe light, light waves, color and image formation both qualitatively and quantitatively." This assignment will specifically address applications of these concepts. Several situations will be described and you will arrange certain situations in a particular order There is a separate worksheet supplied with this assignment where you will write your answers. There five questions in this assignment and it will be graded out of 10 points. There is a solved example at the end of this document which should be helpful for answering the questions. are 1. Frequency of a wave is defined as the number of vibrations per second. Arrange the following tuning forks in order of increasing frequency. If frequencies are equal in some cases, put an equa sign between them. A. The tuning fork vibrates 5000 times in 25 seconds. B. The tuning fork vibrates a million times in one hour C. The tuning fork vibrates two times in four seconds D. The tuning fork vibrates a thousand times in one second 2. Arrange the following sound waves in order of increasing wavelength. A. Sound wave of frequency 20000 Hz at 20° Celsius B. Sound wave of frequency 1000 Hz at 20° Celsius C. Sound wave of frequency 0.5 Hz at 20° Celsius D. Sound wave of frequency 2880 Hz at 20° Celsius 3. Rank the beat frequencies from lowest to highest for the following pairs of sounds: A. 132 Hz, 136 Hz. B. 264 Hz, 258 Hz C. 528 Hz, 531 Hz D. 1056 Hz, 1058 Hz 4. Wavelengths and frequencies given for the following random waves. Rank the waves in order of increasing velocities. If velocities are equal in some cases, put an equal sign between them. A. 1000 Hz, 16 m B. 500 Hz, 0.5 m C. 10000 Hz, 1 cnm D. 10 Hz, 10 m 5. Identical rays of light enter three transparent blocks composed of different materials. Light slows down upon entering the blocks. Rank the blocks according to the speed light travel in each, from lowest to highest

Vibration - Wave - Light

Answer 1

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no. of i iaton gene to tel time S0002o 200 Hz 2.S 10 350277 z 1000 E (000 H2.1 2 rEquent oavelengt iverse to ve locit wave length tow ร์"equen y and vir e versa a : 20000Hz 1000 Hz ④ , 32 H2, 136 Hz Hz

Answer 2

	No of vibrations	Time	Frequency( Hz)
A	5000	25s	5000 200 25
B	1000000	1hr	1000000-= 278
C	2	4s	2 4 =0.5
D	1000	1s	1000 = 1000

Hence ranking in increasing order of frequency is

C<A<B<D

2.At 20℃ velocity of sound is 343 m/s

	Velocity (m/s)	Frequency (Hz)	Wavelength=Velocity/Frequency (m)
A	343	20000	20000 0.01715
B	343	1000	343 0.343 1000 = 0.343
C	343	0.5	5 343-686 0.5
D	343	2880	343 - 0.1191

Hence ranking in increasing order of wavelength is

A<D<B<C

3. Beat frequency is given the difference of the frequencies of the two waves.

Beat frequencies for each case is

(136-132) Hz=4 Hz

(264-258) Hz=6 Hz

(531-528) Hz=3 Hz

(1058-1056) Hz=2 Hz

Hence ranking in order of increasing beat frequency is

D<C<A<B

4.

	Frequency (Hz)	Wavelength(m)	Velocity=Freq X Wavelength (m/s)
A	1000	16	1000 × 16 = 16000
B	500	0.5	500 × 0.5 250
C	10000	0.01	10000 × 0.01 = 100
D	10	10	10 × 10-100

Hence ranking in increasing order of velocity is

C=D<B<A

5.From Snell’s law

sin i sin r

i and r denotes the angle of incidence and refraction

For a constant angle of incidence,

IOC -OC- sinr r

As sinr is proportional to r

Again Refractive index is

velocity of light in air velocity of light in the medium v

velocity of light is constant

i.e.,

larger the angle of refraction is velocity of light in that medium is higher

From the figure we see that block A has smallest angle of refraction and block B has the largest. C is in intermediate of the two.

block A has smallest angle of refraction, velocity of light in that medium is least and greatest in B.

Hence ranking according to velocity is

A<C<B