The major product of the following reaction is:

If $\tan ^{-1} x = y$,then . . . . . . .

In printed scientific names, only the . . . . . . is capitalized.

$A$ minimum value of $\int_0^x t e^{t^2} d t$ is

$A$ thin prism $P_1$ with angle $4^o$ and made from a glass of refractive index $1.54$ is combined with another thin prism $P_2$ made from glass of refractive index $1.72$ to produce dispersion without deviation. The angle of the prism $P_2$ is.....$^o$

Which of the following pairs is mismatched?