Home
Class 11
PHYSICS
Waves y(1) = Acos(0.5pix - 100pit) and y...

Waves `y_(1) = Acos(0.5pix - 100pit)` and `y_(2)=Acos(0.46pix - 92pit)` are travelling along x-axis. (Here `x` is in `m` and `t` is in second)
(1) Find the number of times intensity is maximum in time interval of `1 sec`.

A

4

B

6

C

8

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
Number of maxima in `1 s` is called the beat frequency.
Hence,
`f_(b) = f_(1) -f_(2)`
=`(100 pi)/(2 pi) -(92 pi)/(2 pi) = 4 Hz`.
Promotional Banner

Topper's Solved these Questions

  • ARCHIVES 2 VOLUME 6

    CENGAGE PHYSICS|Exercise Integer|4 Videos

  • ARCHIVES 2 VOLUME 6

    CENGAGE PHYSICS|Exercise Multiple Correct|22 Videos

  • ARCHIVES 1 VOLUME 6

    CENGAGE PHYSICS|Exercise Integer|4 Videos

  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.6|20 Videos

Similar Questions

Explore conceptually related problems

Waves y_(1) = Acos(0.5pix - 100pit) and y_(2)Acos(0.46pix - 92pit) are travelling along x-axis. (Here x is in m and t is in second) (2) The wave velocity of louder sound is

Waves y_(1) = Acos(0.5pix - 100pit) and y_(2)Acos(0.46pix - 92pit) are travelling along x-axis. (Here x is in m and t is in second) (3) The number of times y_(1) + y_(2) = 0 at x = 0 in 1sec is

Two waves y_(1) = A cos (0.5 pi x - 100 pi t) and y_(2) = A cos (0.46 pi x - 92 pi t) are travelling in a pipe placed along the x - axis. Find wave velocity of louder sound

Two waves Y_(1) =A " cos " (0.5 pi x -100 pi t) and Y_(2) = Acos (0.46 pi x-92pi t) are treavelling in a pipe along x-axis. (y and x are in metre). How many times in a second does a stationary any observer hear loud sound (maximum intensity) ?

A particle is moving along the x-axis such that s=6t-t^(2) , where s in meters and t is in second. Find the displacement and distance traveled by the particle during time interval t=0 to t=5 s .

Two plane harmonic sound waves are expressed by the equations. y_(1)(x,t)-A cos (0.5 pi x-100 pit), y_(2)(x,t)=A cos(0.46 pix-92pi t) (All parameters are in MKS) : How many times does an observer hear maximum intensity in one second :-

Two plane harmonic sound waves are expressed by the equations y_(1)(x,t)=Acos((pi)/(2)x-100pit) y_(2)(x,t)=Acos((46pi)/(100)x-92pit) All quantities taken in MKS. Q. how many times does an observer hear maximum intensity in one second?

Two plane harmonic sound waves are expressed by the equations. y_(1)(x,t) = A cos(0.5 pix - 100 pit) y_(2)(x,t) = A cos (0.46 pix - 92 pit) (All parameter are in MKS ) : What is the speed of the sound ?

Two plane harmonic sound waves are expressed by the equations. y_(1)(x,t)-A cos (0.5 pi x-100 pit), y_(2)(x,t)=A cos(0.46 pix-92pi t) (All parameters are in MKS) : At x=0 how many times the amplitude of y_(1) + y_(2) is zero in one second :-

Knowledge Check

  • Waves y_(1) = Acos(0.5pix - 100pit) and y_(2)Acos(0.46pix - 92pit) are travelling along x-axis. (Here x is in m and t is in second) (2) The wave velocity of louder sound is

    A
    (a) `100m//s`
    B
    (b) `192m//s`
    C
    ( c ) `200m//s`
    D
    (d) `96m//s`

  • Waves y_(1) = Acos(0.5pix - 100pit) and y_(2)Acos(0.46pix - 92pit) are travelling along x-axis. (Here x is in m and t is in second) (3) The number of times y_(1) + y_(2) = 0 at x = 0 in 1sec is

    A
    (a) `100`
    B
    ( b) `46`
    C
    ( c ) `192`
    D
    (d) `96`

  • Two waves y_(1) = A cos (0.5 pi x - 100 pi t) and y_(2) = A cos (0.46 pi x - 92 pi t) are travelling in a pipe placed along the x - axis. Find wave velocity of louder sound

    A
    `100 m//s`
    B
    `192 m//s`
    C
    `200 m//s`
    D
    `96 m//s`