The pelvic girdle of birds is attached to a complex structure formed by the fusion of the last thoracic,all lumbar,and the first five caudal vertebrae. This structure is called:

$A$ conducting rod with resistance $r$ per unit length is moving inside a vertical magnetic field $\vec B$ at constant speed $v$ on two horizontal parallel ideal conductor rails. The ends of the rails are connected to a resistor $R$. The separation between the rails is $d$. The rod maintains a tilted angle $\theta$ to the rails. Find the external force required to keep the rod moving.

Product $(A)$ is

The condition for the function $f(x)=x^3+p x^2+q x+r$ $(x \in R)$ to have no extreme value is

The $INCORRECT$ statement about the dissolution of an alkali metal in liquid ammonia is

What is formed when $PCl_3$ reacts with water?