From the first law of thermodynamics derive the relation Cp-Cv =R whwre the symbols have their usual menaings .

Establish the relation C_p-C_v=R

Show that the projection angle thetha_0 for a projectile launched from the origin is given by theta_0 =tan^1(4h_m//R) Where the symbols have their usual meaning.

(Attempt any nine of the following questions)A current carrying solenoid is shown be low. Show that the magnetic field intensity at point P be B= mu_0/(4pi) (2m)/r^3 Where the symbols have their usual meaning.

The equations of light wave from two sources are y_1=a_1sinomegat and y_2=a_2sin(omegat+phi) where the symbols have their usual meaning. The individual intesities are I_1 and I_2 . Show that the minimum resultant intesity due to superposition is I_(min)=I_1+I_2-2sqrt(I_1I_2) .

obatain the adiabiatic equation PV^(gamma) =constatnt from the first law of thermodynamics .