In an atom for any value of n, the values of l = 0 to (n-1)

For a given value of l, the values of m_l = -$$l$$ to 0 to +$$l$$

and the value of s = +1/2 or -1/2

In option(b), l = 2 and m_l = -3

This is not possible. as for l = 2 min value of m_l = -2

Maximum number of electrons in a subshell = 2(2l+1) = 4l + 2

According to Heisenberg uncertainty principle

$$\Delta p.\Delta x \ge {h \over {4\pi }}$$ or m$$\Delta v.\Delta x \ge {h \over {4\pi }}$$

$$ \Rightarrow $$ (m$$\Delta v$$)² $$\ge {h \over {4\pi }}$$ ($$ \because $$ $$\Delta x$$ = $$\Delta p$$)

$$ \Rightarrow $$ $$\Delta v \ge$$ $${1 \over {2m}}\sqrt {{h \over \pi }} $$

$$\Delta v$$ = $${{1 \times {{10}^{ - 18}}} \over {9 \times {{10}^{ - 28}}}} = 1.1 \times {10^9}cm\,{s^{ - 1}}$$