Assertion [A]: Refractory BCC metals like W and Mo are less ductile than FCC metals like Ni and Pt at room temperature
Reason [R]: BCC metals have fewer independent slip systems than FCC metals
Assertion [A] states that refractory BCC metals like Tungsten (W) and Molybdenum (Mo) are less ductile than FCC metals like Nickel (Ni) and Platinum (Pt) at room temperature. This statement is considered true. BCC metals, particularly refractory ones, often exhibit lower ductility at room temperature compared to FCC metals, which generally display good ductility.
Reason [R] claims that BCC metals have fewer independent slip systems than FCC metals. This statement is considered false. FCC metals possess 12 primary slip systems. While BCC metals have many potential slip systems ({110}, {112}, {123} planes), the statement that they inherently have *fewer* independent slip systems than FCC metals is inaccurate. The factors contributing to ductility differences are more complex than just the number of slip systems.
Since Assertion [A] is true and Reason [R] is false, the correct option is that [A] is true but [R] is false.
The Burger's vector of a dislocation in a cubic crystal (with lattice parameter a) is $\frac{a}{2}[110]$ and dislocation line is along $[112]$ direction. The angle (in degrees) between the dislocation line and its Burger's vector is _________