The mean of y and 1/`gamma` is z. Find the mean of `gamma ^(2)` and `(1)/(gamma ^(2)).`

Explain the equation:- sin^2 gamma + cos^2 gamma=1 .

Calculate the value of gamma for a gaseous mixture consisting of n_(1) moles of oxygen and n_(2) moles of carbon of carbon dioxide. The values of gamma for oxygen and carbon dioxide are gamma_(1) and gamma_(2) respectively. Assume the gases to be ideal. [Hint: U_(m) = U_(1) + U_(2) and U = (nRT)/(gamma-1) ]

Calculate the value of gamma for a gaseous mixture consisting n_(1) moles of oxygen and n_(2) moles of carbon dioxide. The values of gamma for oxygen and carbon dioxide are gamma_(1) and gamma_(2) respectively. Assume the gases to be ideal.

If [(0,2beta,gamma),(alpha,beta,-gamma),(alpha,-beta,gamma)] is orthogonal, then find the value of 2alpha^(2)+6beta^(2)+3gamma^(2).

Three moles of an ideal gas having gamma = 1.67 are mixed with 2 moles of another ideal gas having gamma = 1.4 . Find the equivalent value of gamma for the mixture.

4 mol of an ideal gas having (gamma = 1.67) are mixed with 2 mol of another ideal gas having (gamma =1.4). Find the equivalent value of gamma for the mixture.

If alpha,beta,gamma are three geometric means between n and n+1 and theta is the arithmetic mean then the value of alpha^(4)+2 beta^(4)+gamma^(4)+16 theta^(4) equals

If gamma cos theta =1 and gamma sin theta =sqrt3 , find the positive value of gamma