Waves Questions and Answers

A broad source of light 1 680 nm illuminates normally two glass plates 120 mm long that touch at one end and are separated by a wire 0 034 mm in diameter at the other end The total number of bright fringes that appear over the 120 mm distance is A 50 B 100 incident light It 120 mm 0 034 mm C 200 D 400

In the figure the intensity of waves arriving at The D from two coherent sources S and S is Io wavelength of the wave is 4m Resultant intensity at D will be 4m S 1 3m S 5m D 3 21 A

The speed of light in media 1 5 x 108 m s and 2 0 x 108 m s respectively A ray of light enters from medium M to M at an incidence angle i If the ray suffers total internal reflection the value of i is 1 Equal to or less than sin 1 fequal Equal to or greater than sin 1 2 3 3 Less than sin 1 4 Equal to sin 1 3 5 3 3 4 in

In closed end pipe of length 105 cm sta What distance from the closed end amongst the following 4 45 1 20 cm 2 60 cm 3 85 cm The tension length diameter and density of a string B are double than that of another string A Which of the following overtones of B is same as the fundamental frequency of A the strings are fixed at both ends 1 1st 2 2nd L 3 3rd 4 4th linear mass density 0 1 Kg m is kept under a tension of 490 N It is observed that it ut higher frequency is 450 Hz Find the length of the wire

2 A ray of light travelling in air have wavelength A frequency n velocity v and intensity 1 If this ray enters into water then these parameters are X n V and I respectively Which relation is correct from following 1 2 3 v v 2 n n 4

The waves set up in a closed air pipe are a longitudinal and progressive b longitudinal and stationary c transverse and stationary d transverse and progressive

Three coherent sonic sources emitting sound of single wavelength X are placed on the x axis at points 11 6 0 0 0 2 11 6 0 The intensity reaching a point 0 5 6 from each source has the same value 5W m2 Then find the resultant intensity in W m2 at this point due to the interference of the three waves

A string that is 10 cm long is fixed at both ends At t 0 a pulse travelling from left to right at 1 cm a is 40 cm from the right end as shown in figure Determine the next two times when the pulse will be at that point again lem fem 1 8 sec 20 sec 10cm 4cm 340 425 3 34 L 4l 2 4 sec 20 sec 3 12 sec 12 sec 4 12 sec 16 sec the successive resonance frequencies are observed at 425 595 and air to be 340 m s determine the fundamental frea

D Which one of the followings is correct regarding scattering of light 1 The light of shorter wavelengths is scattered much more than that of large wavelengths if size of scatterer a K 2 The light of longer wavelengths is scattered much more than that of shorter wavelengths if size of scatterer a 3 All wavelength scattered equally if size of scatterer a 4 All wavelengths scattered equally if size of ottoror

The transverse displacement of a string is given by y x t 0 06 sin 2 3 X cos 120nt boecis where x and y are in m and t in s The length of the string is 1 5m and its mass is 3 0 x 10 2 kg Ansv following a Does the function represent a travelling wave or a stationary wave b What are the wavelength frequency and speed of each wave c Determine the tension in the string

Three waves producing displaceme same direction of same frequency and of amplitudes 10 m 4um and 7u m arrive at a point with successive phase difference of T 2 The amplitude of the resultant wave is 1 2um 2 7 m 00 3 5 m 00 4 1

The Y sin 2007 t 330 are 1 100 Hz 5 m s 2 300 Hz 100 m s 3 100 Hz 330 m s 4 30 m s 5 Hz x is in meter and f is in second The frequency and velocity of wave are SPMT 91 wave for a

3 A wave has SHM whose period is 4 s while another wave which also possess SHM has its period 3 s If both are combined then the resultant wave will have the period equal to 1 4 s 2 5 s 3 12 s 4 3 s

Each light source S S S3 S4 S5 S in a line has same power same wavelength A and all are in phase Distance between consecutive sources is a if smallest value of a is a such that point P r a has zero light Ten Internal shift due to sheet of this mester a E M 1 Shift due to play fg Mig 1 Por original an de tolto 1 for central bright Fring to come back to original pas 3 intensity find the value of for noavent minima sino 9 94 14

2 m and refractive index n 1 7 inserted in front of one of the slits in Young s double slit experiment Another plate of a transparent material of thickness 1 m and refractive index 1 55 is inserted in front of the other slit If the intensity at the center of the screen without the glass plates was 10 lo determine x it the intensity at the same point is x I after the introduction of the glass plates The wavelength of light used in vacuum is 6000 A Assume that each glass plate transmits 100 of light incident on it Throughout the experiment with and without the plates the entire system is immersed in a liquid of index 1 25

An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz What is the frequency of the microwave measured by the observer speed of light 3 x 10 ms a 12 1 GHz c 15 3 GHz b 17 3 GHz d 10 1 GHz

epposite TX 3 A string vibrate according to the equation y 5 sin t is in seconds a What is the equation of incident and reflected wave by What is the distance between the adjacent nodes cos 40nt where x and y are in centimeters and dionla 9 Te What is the velocity of the particle of the string at the position x 1 5 cm when t 8 The trans sec

195 A source of sound and a detector is shown in the figure Detector is moving along a circle with constant angular speed wo It starts from shown location at t 0 Time after which detector will Dou hear maximum frequency for first time is Detector t 0 007 10891 R 4f 30 consdo ina 7 T 1 1 R 2R Source 5m 2 elevent w 30 nen noils06001q 41

3 1 4 4 4 1 12 A wave represented by the equation y acos kx wt is superposed with another wave to form a stationa wave such that the point x 0 is a node The equation for the other wave is 1 asin kx wt 3 acos kx wt 3 A suspension bridge is to be built across all 2 acos kx wt 4 asin kx wt at the wind can gust at 5 s intervals

d 3 7 t 36 The normal density of gold is p and its modulus is B The increase in density of piece of gold when pressure P is applied uniformly from all sides 1 3 pP 2B pP B P 2 4 pB 2P pB B P PAP

What do we call the part of the wave labeled with the letter C in the image below B MW A A Compression C Frequency D W C B Rarefaction D Wave speed

23 An electromagnetic wave travelling in the x direction has frequency of 2x 10 4 Hz and electric field amplitude of 27 Vm 1 From the options given below which one describes the magnetic field for this wave 1 B x t 3x10 8T sin 2 1 5x10 8 x 2x10 4t 2 B x t 9 10 8T k si in 2 1 5x10 6x 2x10 4t 3 B x t 9x10 8T i sin 2m 1 5x10 8 x 2x10 4 t 4 B x t 9x108T

A uniform rope of mass 0 1 kg and length 2 5 m hangs from ceiling The speed of transverse wave in the rope at upper end and at a point 0 5 m distance from lower end will be 1 5 m s 2 24 m s N 2 10 m s 3 23 m s 3 7 5 m s 1 2 m s C s 18 b L 5 35 d 8

32 Two waves get superposed on a string 3 sin2 x 10t Y 3 sin2 x 10t and Y Then find the distance between two adjacent nodes on the string 1 25 cm 3 75 cm 2 50 cm 4 100 cm

VM A plane mirror is falling vertically as shown in the figure If S is a point source of light the rate of increase of the length AB is 018 Y Acceleration g m s2 Height x m a directly proportional to x c inversely proportional to x S L A B b constant but not zero d zero nd its real image is formed at a distance of 20 cm The image will shift

A Wave front moves 1 64 m in 4 00 s What is the speed of the wave 0 410 m s 1 64 m s 2 44 m s 6 56 m s Question 4 1 point On a transverse wave the distance from crest to crest is called frequency wavelength phase

Carrie is making a presentation on solar winds Her notes of the steps that must occur for solar winds to form ar below 1 The stream of electrically charged particles collide with gas atoms causing the latter to give off light 2 The electrically charged particles flow outward in all directions as far as Saturn 3 The stream of electrically charged particles flows outward from the corona 4 The particles of the solar wind flow along lines of the magnetic field Which shows the correct sequence in the formation of solar winds O 1 2 3 4 O2 3 4 1 O3 2 4 1 O4 2 1 3

A wave is modeled with the function y x t 0 87m cos 0 29rad m x 0 49rad s t T 3 Find the wave speed Round your answer to 2 decimal places

19 You have a sound recording of two strings vibrating next to each other and producing a beat frequency of 2 Hz You know that one of the strings is vibrating at exactly 500 Hz How could determine if the other string is vibrating slightly above or slightly below 500 Hz You have a laboratory full of acoustic equipment so you can analyze sound but you cannot measure the tension or linear density of these strings you only have a sound recording you

Let s take the Earth to be 1 unit distance 1 AU see section V below from the Sun If the intensity of light is 1 light unit at the Earth s distance then we see that k 1 Given this and the fact that Pluto is an average distance of 39 5294 times farther away from the Sun than the Earth is calculate the Sun s intensity at Pluto s distance light units Can you see why at Pluto s distance the Sun would just look like an ordinary star

Question 2 10 Points The displacement of an object is described by this equation where x is in meters and t is in seconds x 0 62 m cos 6 2t What is the frequency Hz of the oscillating object Round your answer to 2 decimal places Add your answer

A 6 4 m long string has a mass of 2 53g What is the mass in kg of an object hung from its end if a 136 Hz wave has a wavelength of 70 cm Round your answer to 3 decimal places

A wave is turned back when it meets the boundary of the medium in which it is travel ing The wave is said to have undergone 1 reflection 2 interference 3 refraction 4 diffraction

PALTORS Consider two waves traveling through the same medium in the same time frame B Mwm Compare the wavelengths part 2 of 4 Compare the amplitudes part 3 of 4 Compare the frequencies part 4 of 4 Compare the periods O2 A has the longer wavelength 3 A and B have the same wavelength 4 B has the longer wavelength 01 Cannot be determined 2 B has the smaller amplitude 3 A has the smaller amplitude 4 A and B have the same amplitude 1 A has the higher frequency 2 Cannot be determined 3 B has the higher frequency C4 A and B have the same frequency 1 Cannot be determined 2 A has the shorter period

he Powerpuff Girls are playing jumping rope Blossom tells Buttercup and Bubbles that they are creating a transverse traveling wave with a function of y x t 4cm 10 63rad m x 998rad s t uttercup who is more practical instead measured the rope s length as 2 92 m and a mass of 23 43 g Help Bubbles determine the ension in the rope ound your answer to 2 decimal places

A positive pulse is sent along a spring A short time later a negative pulse with a smaller amplitude returns Assuming there are no frictional losses which of the following statements could account for this observation a There is not enough information to answer the question b The other end of the spring is unattached ie it is a free end c The spring is attached to a second spring of a higher density and slower speed d The spring is attached to a second spring of lower density and faster speed e The other end of the spring is attached to a fixed end

68 Calculate the speed of a wave moving with a frequency of 1242 Hz and a wavelength of 2 07m

TO A 3 m slinky rests on a table with a student holding each end The students laterally shake the ends of the slinky to generate transverse waves The student on the left shakes the slinky at 4 Hz with a 5 cm amplitude and the student on the right shakes it at 3 Hz with a 7 cm amplitude The students agree to make a standing wave with a node centered between them so they are the antinodes At what frequency in Hz must they shake the slinky if the speed of a wave in the slinky is 30 m s

An amusement park ride has a frequency of 0 05 Hz What is the ride s period 20 s O 50 s 0 05 s

A MAN B C D Which letter represents the wavelength OC OD A OB

The two pulses shown below are moving in opposite directions along the same rope When they meet what type of behavior will occur O destructive interference O constructive interference Oreflection S JEE

Which of the following behaviors are evidence that light is a WAVE Choose all that apply O polarization O diffraction Oreflection Ophotoelectric effect Orefraction

The diagram below depicts light reflecting off a planar surface If angle A is a 25 degree angle then the angle of reflection is degrees A

Blue frequencies of light are scattered by molecules in the atmosphere O Dispersion within water causes white light to separate into colors O Red frequencies are scattered the least and can penetrate more of the atmosphere O Red frequencies of light are absorbed leaving the opposite color What causes rainbows 2 po Blue frequencies of light are scattered by molecules in the atmosphere O Dispersion within water causes white light to separate into colors Red frequencies are scattered the least and can penetrate more of the atmosphere Red frequencies of light are absorbed leaving the opposite color

A beam of electrons is accelerated across a potential of 13 50 kV before passing through two slits The electrons form an interference pattern on a screen 2 00 m in front of the slits The first order maximum is 8 90 mm from the central maximum What is the distance between the slits nm

1 Which type of radiation alpha beta or gamma more than one is okay a If an atom loses this it will result in the greatest change in atomic number for the original atom Why b If an atom loses this it will result in the least change in atomic number for the original atom Why If an atom loses this it will result in the greatest change in mass number for the original atom Why ledd Gamma byload d If an atom loses this it will result in the least change in mass number for the original atom Why C

9 Below are monochromatic light rays traveling through three substances A B and C A B C 1st a Rank the speed of light in each of the materials from fastest to slowest 1st A 2nd 3rd B 1st C b Rank the index of refraction of each of the materials from highest to lowest 1st 2nd 3rd 2nd 3rd 1st 2nd 3rd c Rank the wavelength of the light in each of the materials from longest to shortest 2nd 3rd 1st 2nd 3rd d Rank the frequency of the light in each of the materials from highest to lowest

A surface ocean wave has an amplitude of 0 60 m and the distance from trough to trough is 8 00 m It moves at a constant wave speed of 1 50 m s propagating in the positive x direction At t 0 the water displacement at x 0 is zero and vy is negative Assuming the wave can be modeled as a sine wave write a wave function to model the wave in 3 ways

An astronaut has landed on Planet N 40 and conducts an experiment to determine the acceleration due to gravity on that planet She uses a simple pendulum that is 0 640 m long and measures that 10 complete oscillations 26 0 s What is the acceleration of gravity on Planet N 40 2 39 m s2 4 85 m s2 3 74 m s2 9 81 m s 1 66 m s

Why is water a blue green color O Blue frequencies of light are scattered by molecules in the atmosphere Dispersion within water causes white light to separate into colors Red frequencies are scattered the least and can penetrate more of the atmosphe Red frequencies of light are absorbed leaving the opposite color