If the uncertainty in velocity is $\frac{1}{2m} \sqrt{\frac{h}{\pi}}$, then the ratio of uncertainty in position and momentum is (in $: 1$)

In the polar coordinates of the Schrodinger equation,the angle between the radius vector and the $Z$-axis is known as ..........

The uncertainty in the position of an electron and a helium atom is the same. If the uncertainty in the momentum of the electron is $32 \times 10^5$,then the uncertainty in the momentum of the helium atom is:

The possibility of finding an electron in an orbital was conceived by

Given below are two statements:
Statement $I:$ According to Bohr's model of hydrogen atom,the angular momentum of an electron in a given stationary state is quantised.
Statement $II:$ The concept of electron in Bohr's orbit,violates the Heisenberg uncertainty principle.
In the light of the above statements,choose the most appropriate answer from the options given below:

Given: The mass of an electron is $9.1 \times 10^{-31} \ kg$,Planck's constant is $6.62 \times 10^{-34} \ J \cdot s$. The uncertainty involved in the measurement of velocity within a distance of $0.1 \ \mathring{A}$ is: