The smallest positive root of the equation $\tan x - x = 0$ lies in the interval:

In the circuit shown in the figure,if the value of $R.M.S$ current is $2.2 \text{ A}$,the power factor of the box is:

Euchlorine is a mixture of

The sensitivity of a galvanometer is $60 \text{ div/A}$. When a shunt is used,its sensitivity becomes $10 \text{ div/A}$. If the resistance of the galvanometer is $20 \ \Omega$,then the value of the shunt used is: (in $\Omega$)

If $\vec{a}, \vec{b}, \vec{c}$ are non-coplanar vectors and $\lambda$ is a real number, then the vectors $\vec{a}+2 \vec{b}+3 \vec{c}$, $\lambda \vec{b}+4 \vec{c}$, and $(2 \lambda-1) \vec{c}$ are non-coplanar for:

Which one of the following ecosystem types has the highest annual net primary productivity?