Home
Class 12
PHYSICS
A wave travels out in all direction from...

A wave travels out in all direction from a point source. Justify the expression `y=(a_(0)/r) sin k (r-vt)`, at a distance r from the source. Find the speed, periodicity and intensity of the wave.what are the dimensions of `a_(0)`?

Text Solution

AI Generated Solution

To justify the expression \( y = \frac{a_0}{r} \sin(k(r - vt)) \) for a wave traveling out in all directions from a point source, we will analyze the components of the equation and derive the speed, periodicity, intensity, and dimensions of \( a_0 \). ### Step 1: Understanding the Wave Equation The general wave equation can be expressed as: \[ y = A \sin(kx - \omega t) \] where: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Spherical sound waves are emitted uniformly in all direction from a point source. The variation in sound level SL. As a function of distance r from the source can be written as where a and b are positive constants.

The intensity of sound from a point source is 1.0 xx 10^-8 Wm^-2 , at a distance of 5.0 m from the source. What will be the intensity at a distance of 25 m from the source ?

A point source emits sound equally in all directions in a non-absorbing medium. Two point P and Q are at distance of 2 m and 3 m respectively from the source. The ratio of the intensities of the wave at P and Q is :

If the amplitude of waves at a distance r from line source is A . The amplitude at a distance 4r will be

Sound waves are emitted uniformly in all directions from a point source. The dependence of sound level beta in decibels on the radial distance r can be expressed as [Given a and b are positive constants]

The intensity produced by a long cylindrical light source at a small distance r from the source is proportional to

A person standing at distance r from a point source listen the sound emitted by the source. When person move to another point having distance (r )/(10) from the point source, then increase in sound intensity level is nxx10^(1) decibles value of n is ?

The intensity of a point source emitting sound at distance 3 from the source is 0.707 W//m^2? What is the average power output of the source ?

The speed of a certain compressional wave in air at standard temperature and pressure is 330 m//s . A point source of frequency 300 H_(Z) radiates energy uniformly in all directions at the rate of 5 Watt. (a) What is the intensity of the wave at a distance of 20 m from the source? (b) What is the amplitude of the wave there? [ Density of air at STP = 1.29 kg //m^(3) ]

A: The speed of light in vaccum doesn't depend on nature of the source, direction of propagation nature of the source, direction of propagation, motion of the source , or observer wavelength and intensity of the wave. R: The speed of light in vaccum is a universal constant independent of all the factors listed and anything else.