A helical gear with 20° pressure angle and 30° helix angle mounted at the midspan of a shaft that is supported between two bearings at the ends. The nature of the stresses induced in the shaft is

Match the following.

Heat treatment		Effect
P:	Tempering	1.	Strengthening
Q:	Quenching	2.	Toughening
R:	Annealing	3.	Hardening
S:	Normalizing	4.	Softening

Joule-Thompson coefficient for an ideal gas is

For three vectors $$\vec A = 2\hat j - 3\hat k,\vec B = - 2\hat i + \hat k\ and\;\vec C = 3\hat i - \hat j,$$ where î, ĵ and k̂ are unit vectors along the axes of a right-handed rectangular/Cartesian coordinate system, the value of $$\left( {\vec {A.} \left( {\vec B \times \vec C} \right) + 6} \right)$$ is _______.