The adjoining diagram shows the spectral energy density distribution $E_{\lambda}$ of a black body at two different temperatures. If the areas under the curves are in the ratio $16 : 1$,the value of temperature $T$ is ........ $K$. (in $,000$)

The coefficient of $x^n$ in $\frac{1-2x}{e^x}$ is:

The solution of $x dx + y dy = x^2 y dy - x y^2 dx$ is

If the equation for the angular displacement of a particle moving on a circular path is given by $\theta(t) = 2t^3 + 0.5$,where $\theta$ is in radians and $t$ is in seconds,then the angular velocity of the particle after $2 \, s$ from its start is ......... $rad/s$.

The correct stability order of the following diazonium salts is:

In the following circuit,the equivalent resistance between $A$ and $B$ is ...... $\Omega$.