The interval in which the function $f(x) = 2x^2 - \log x$,for $x > 0$ decreases,is

If $u+iv = \frac{3i}{x+iy+2}$,then $y=$

Which of the following is an example of a new crop?

The effect due to a uniform magnetic field on a freely suspended magnetic needle is as follows:

$EAN$ of complex $[Fe(C_2O_4)_3]^{3-}$ is

Two rigid boxes containing different ideal gases are placed on a table. Box $A$ contains one mole of nitrogen at temperature $T_0$,while box $B$ contains one mole of helium at temperature $\left( \frac{7}{3} \right) T_0$. The boxes are then put into thermal contact with each other,and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of the boxes). The final temperature of the gases,$T_f$,in terms of $T_0$ is: