Which is the major product of the following reaction?

The height of the cone of maximum volume inscribed in a sphere of radius $R$ is

Assume each reaction is carried out in an open container. For which reaction will $\Delta H = \Delta E$?

The point collinear with $(1, -2, -3)$ and $(2, 0, 0)$ among the following is

The angle between the pair of straight lines formed by joining the points of intersection of $x^2+y^2=4$ and $y=3x+c$ to the origin is a right angle. Then $c^2$ is equal to

The decay rate for a certain mass of a radioactive substance measured at different times varies with time as shown in the figure. The count rate at $t = 8 \, hr$ will be: