The active mass of $64 \ g$ of $HI$ in a $2 \ L$ flask is:

Two cylinders $A$ and $B$ fitted with pistons contain equal amounts of an ideal diatomic gas at $300\ K.$ The piston of $A$ is free to move while that of $B$ is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in $A$ is $30\ K,$ then the rise in temperature of the gas in $B$ is ....... $K$

Which of the following reagents can form a hydrazone with alkanone?

The incentre of the triangle formed by the lines $x+y=1$,$x=1$,and $y=1$ is

In the electric network shown,when no current flows through the $4 \Omega$ resistor in the arm $EB$,the potential difference between the points $A$ and $D$ will be $.............\,V$.

If the normal to the curve $y(x) = \int_0^x (2t^2 - 15t + 10) dt$ at a point $(a, b)$ is parallel to the line $x + 3y = -5$ for $a > 1$,then the value of $|a + 6b|$ is equal to ...........