Which of the following guards the opening of the hepatopancreatic duct into the duodenum?

If the volume of a sphere increases at the rate of $2 \pi \text{ cm}^3/\text{s}$,then the rate of increase of its radius (in $\text{cm/s}$),when the volume is $288 \pi \text{ cm}^3$,is

The colour of the bead in the borax bead test is mainly due to the formation of:

The number of integral values of $k$ for which the equation $7 \cos x + 5 \sin x = 2k + 1$ has a solution is:

The jawless vertebrate is

$A$ body is moving up an inclined plane of angle $\theta$ with an initial kinetic energy $E$. The coefficient of friction between the plane and the body is $\mu$. The work done against friction before the body comes to rest is