A vehicle sounding a whistle of frequency 256 Hz is moving on a straight road, towards a hill with a velocity of 10 ms-1 . The number of beats per second observed by a person travelling in the vehicle is : (Velocity of sound =330 ms-1)
A. 0
B. 10
C. 14
D. 16
A transverse wave propagating on a stretched string of linear density 3 x 10-4 kg m-1 is represented by the equation y = 0.2sin (1.5x - 60t) where x is in meters and t is in seconds. The tension in the string (in newton) is
A. 0.24
B. 0.48
C. 1.20
D. 1.80
Assertion (A): Propagation of light through an optical fibre is due to total internal reflection taking place at the core-clad interface.Reason (R): Refractive index of the material of the core of the optical fibre is greater than that of air.
A. both (A) and (R) are true and (R) is the correct explanation of (A)
B. both (A) and (R) are true but (R) is not the correct explanation of (A)
C. (A) is true but (R) is false
D. (A) is false but (R) is true
A light ray of wavelength λ is passing through a pin hole of diameter D and the effect is observed on a screen placed at a distance L from the pin hole. The approximations of geometrical optics are applicable if
A. D <λ
B. (Lλ / D2) = 1
C. (Lλ / D2) < < 1
D. (Lλ / D2) >> 1
The velocity of propagation of sound is 330 m/s, in air. If the third harmonic of the fundamental that can be exerted in an open ended tube is 450 Hz, the length of the tube is :
A. 3.3m
B. 1.1m
C. 2.2m
D. 4.5m
A certain number of beats are heard when two tuning forks of natural frequencies n1 and n2 are sounded together. The number of beats heard when one of the forks is loaded :
A. increases
B. Decreases
C. Remains constant
D. may increase or decrease
A whistle of frequency 540 Hz rotates in a horizontal circle of radius 2 m at an angular speed of 15 rad/s. The highest frequency heard by a listener at rest with respect to the centre of circle (velocity of sound in air = 330 ms-1)
A. 590 Hz
B. 594 Hz
C. 598Hz
D. 602 Hz
A segment of wire vibrates with a fundamental frequency of 450 Hz under a tension of 9 kg wt. Then tension at which the fundamental frequency of the same wire becomes 900 Hz is
A. 36 kg-wt
B. 27 kg-wt
C. 18 kg-wt
D. 72 kg-wt
In Resonance Column experiment with a closed pipe, the first, second and third reso-nance lengths L1, L2, L3 respectively beat the relationship
A. L3 = 2L2 = 4 L1
B. (L3 - L2) = (L2 - L1)
C. L3 = (5/3)L2 = 5L1
D. (L3 - L2 ) = 2 (L2 -L1)
when a wave traverses a medium , the displacement of a particle located at 'x' at a time 't' is given by y=a sin (bt - cx) , where a,b and c are constants of the wave , which of the following is a quantity with dimensions
A. y/a
B. bt
C. cx
D. b/c
Two strings A and B of lengths. LA = 80 cm and LB = x cm respectively are used separately in a sonometer. The ratio of their densities {dA/dB) is 0.81. The diameter of B is one-half that of A. If the strings have the same tension and fundamental frequency the value of x is :
A. 33
B. 102
C. 144
D. 130
An observer is standing 500 m away from a vertical hill. Starting between the observer and the hill, a police van sounding a siren of frequency 1000 Hz moves towards the hill with a uniform speed. If the frequency of the sound heard directly from the siren is 970 Hz, the frequency of the sound heard after reflection from the hill (in Hz) is about, (velocity of sound = 330ms-1):
A. 1042
B. 1032
C. 1022
D. 1012
In Young's double slit experiment,first slit has width four times the width of the second slit, the ratio of the maximum intensity to the minimum intensity in the interference fringe system is :
A. 2:1
B. 4:1
C. 9:1
D. 8:1
Two sources A and B are sending notes of frequency 680 Hz. A listener moves from A to B with a constant velocity V. If the speed of sound in air is 340 ms-1, what must be the value of V so that he hears 10 beats per second
A. 2.0 ms-1
B. 2.5ms-1
C. 3.0ms-1
D. 3.5ms-1
Two identical piano wires have a fundamental frequency of 600 c/s when kept under the same tension. What fractional increase in the tension of one wire will lead to the occurrence of 6 beats per second when both wires vibrate simultaneously
A. 0.01
B. 0.02
C. 0.03
D. 0.04
In the Young's double slit experiment, the intensities at two points P1, and P2 on the screen are respectively I1, and I2. If P1, is located at the centre of a bright fringe and P2 is located at a distance equal to a quarter of fringe width from P1 then I1/I2 is
A. 2
B. 1/2
C. 1/4
D. 1/16
In Young's double slit experiment, the 10th maximum of wavelength λ1 is at a distance of y1 from the central maximum. When the wavelength of the source is changed to λ2, 5th maximum is at a distance of y2 from its central maximum. then the ratio of y1 / y2 is
A. 2λ1 / λ2
B. 2λ2 / λ1
C. λ1 / 2 λ2
D. λ2 / 2 λ1
Two organ (open) pipes of lengths 50 cm and 51 cm produce 6 beats/s. Then the speed of sound is nearly
A. 350ms-1
B. 303ms-1
C. 306ms-1
D. 300ms-1
When an air column of length ‘l’ open at both ends vibrates in its fundamental note, the wavelength is given by
A. λ=3l
B. λ=4l
C. λ=2l
D. λ=l
Two organ(open)pipes of lengths 50cm and 51cm produce 6 beats/s.Then the speed of sound is nearly
A. 300ms-1
B. 306ms-1
C. 303ms-1
D. 350ms-1
A cylindrical resonance tube open at both ends has a fundamental “f” in air.If half of the length is dipped vertically in water,the fundamental frequency of the air column will be
A. f/2
B. f
C. 3f/2
D. 2f
In Youngs double slit experiment the separation between the slits is halved and the distance between the slits and screen is doubled .The fringe width is
A. Unchanged
B. Halved
C. Doubled
D. Quadrupled
The frequency of a fork is 500 Hz.Velocity of sound in air is 350ms-1.The distance through which sound travel by the time the fork makes 125 vibrations is
A. 87.5m
B. 700m
C. 1400m
D. 8.75m
The equation of wave is y=10 cos2π(t/0.02-x/10),where ‘t’ is in seconds an x in cm.The phase difference between two points separated by a distance of 5 cm at any instant is
A. π/2 rad
B. π/5 rad
C. π/3 rad
D. π rad
The bridge of a sonometer is slightly displaced so that the length of wire is decreased by 0.5% and tension in the wire is increased by 1%.The fundamental frequency of wire
A. increased by 1%
B. Decreased by 1%
C. increased by 1.5%
D. Decreased by 1.5%
A fork gives 5beats/sec with a 40cm long sonometer wire.If the length of the wire is shortened by 1 cm,the number of beats/sec is still the same.The frequency of the fork is
A. 385 Hz
B. 320 Hz
C. 395 Hz
D. 400 Hz
The frequency of a tuning fork x is 5% greater than that of a standard fork of frequency K.The frequency of another fork y is 3% less than that of K.When x and y are vibrated together 4 beats are heard per second.The frequencies of x and y are
A. 52.5Hz,48.5Hz
B. 57.5Hz,47.5Hz
C. 40.5Hz,42.5Hz
D. 38.5Hz,48.5Hz
A Tuning fork A produces 6 beats per second with another fork B.On loading B with a little wax,it produces 5 beats per second with A if the frequency of A is 256Hz,the frequency of B is
A. 262Hz
B. 250Hz
C. 256Hz
D. 261Hz
An open pipe resonates to a frequency f1 and a closed pipe resonates to a frequency f2.if they are joined together to form a longer tube, then it will resonate to a frequency of (neglect end corrections and consider fundamental frequencies)
A. (f1f2)/(2f2+f1)
B. (f1f2)/(f2+2f1)
C. (2f1f2)/(f2+f1)
D. (2f2+f1)/ (f1f2)
A steel wire of length L is stretched between two rigid supports and set in to vibration.The frequency of the second over tone produced by it is found to be f.The speed of transverse wave in the wire is
A. Lf
B. 3Lf/2
C. 2Lf/3
D. 2Lf