IIT JEE , AIEEE Forum - Physics , Mechanics

sanyogita_singh2007

dear mohit ........this ques. will bk the thread of discussion so i thnk wen the topic will b over then we will discuss about questions........

sanyogita_singh2007

thw general equation of wave............

d²y/dt²= v² d²y/dx^{2 .............(i)}

^{or the general solution of this equation is}

^{y(x,t) = f (ax +bt) or f (ax - bt) .................(ii)}

^{thus, any function of x and t which can be written as eq. ii or satisfies eq. i represents a wave.}

^{And velocity of wave will be, v =coeff of t / coeff. of x = b/a}

sanyogita_singh2007

in above eqn ii (+) sign b/w ax and bt shows that wave is propagating along negative x-direction and if sign is (-) then the direction of propagation will be along positive x-axis.

tobeiitian

im giving properties of transverse and longitudinal:

TRANSVERSE WAVES:

1.Particles of medium oscillates perpendicular

2.Every particle takes same time interval to complete 1 oscillation

3.Length of oscillation is the same

4. For propagation of transverse waves, material medium should have the property of elasticity of shape

5.Transverse waves can pass through solids or surface of liquids

6.Every neighbouring particle is in a different state of motion

7.whenever transverse waves pass through a medium there is no chane in density or temperature

8.Transverse waves can be plane/ polarised

9.Transverse waves are periodic in time and space

10. Point of max. '+' displacement is crest and max. '-' displacement is trough

LONGITUDINAL WAVES

1.Particles of medium oscillates parallel

2.Every particle takes same time interval to complete 1 oscillation

3.Length of oscillation is the same

4. For propagation of longitudinal waves, material medium should have the property of elasticity of volume

5.Longitudinal waves can pass through solids,liquids or gases

6.There are compressions and rarefactions

7.Whenever longitudinal waves pass through a medium there is change in volume, density & temperature

8.Longitudinal waves cannot be plane/ polarised because they re parallel

9.Longitudinal waves are periodic in time and space

tobeiitian

if definitions, derivations etc. are needed nudge me

sanyogita_singh2007

PLANE PROGRESSIVE HARMONIC WAVES :

When y(x,t) is a sine or cosine function such as,

y(x,t) = A sin k(x-vt) or y(x,t) = A cos k(x-vt)

it is called plane progressive harmonic motion.
In this wave oscillations of y are simple harmonic in nature.

Here k is meaning ful..we can replace x by x + 2

/k , as we get the same value of y.

anandghegde

I have doubt guys......when a wave travels from 1 medium to another, is there a change in intensity??

mukulss

i think i can answer anand,,,,,
their is nothing to get confused................

see if there r not 100% reflections or transmissions,
only then intensity changes.........

mukulss

friends,
come on participate in it.........

akhil_o

total energy at any instant =1/2 mw²A²

PE=1/2 mw²x²

KE=1/2 mw²⁽A²-x²)

mukulss

i think i must close it now........................

not much seem to take interest,,
me too do not visit goiit frequently due to some electricity reasoms in
my area.........

do anyonme else want to take up this discussion?????????????????

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