1.Pressure of air decreases exponentially with height y.....



      P = P₀ e^ -(Mgy/RT)....
Po = Pressure at sea level....

2.Coefficient of performance....(of a refrigerator) = (1- )/.....
where = efficiency of CARNOT'S CYCLE....


3.Time (t) taken by ice to grow a thickness(y) .....on the surface of the ponds when temperature goes below 0 degree celcius....


  t = (*Lf*y*y)/(2kT)
where...
T = (-atmospheric temperature....it is below 0 degree celcius)
Lf = latent heat of fusion....


4.Mean free path = (kT)/(2 * * * * )
= diameter of molecule..
k = Boltzmann's constant....

5.Doppler effect formula for light n for sound is different....
In sound...it is not just the relative motion of source n observer tht determines the frequency change.Even when the relative motion is the same...we can obtain different results...depending on whether the source or the observer is moving...
For light , however ...it is the relative motion between the source n observer which matters...

HOPE U LIKE IT....