Draw the shapes (boundary surfaces) of the following orbitals:
(a) `2p_(y)` (b) `3d_(z^(2))` (c) `3d_(x^(2) - y^(2))` (Show coordinate axes in your sketches)

How many atomic orbitals of the following have more than one node? 1s, 2s, 3p_(x), 3d_(xy), 3_(z^(2)), 4p_(z), 4d_(x^(2)-y^(2))

Consider the following orbitals (i) 3p_(x) (ii) 4d_(x^(2)) (iii) 3d_(x^(2)-y^(2)) (iv) 3d_(yz) Then, calculate value of " x+y-z " here x is total number of gerade orbital and y is total number of ungerade orbitals and z is total number of axial orbitals in given above orbitals.

Which of the following orbitals are valid? 1s, 2p_(x),3d_(x^(2)-z^(2)),4p_(z),2p_(y),3d_(x^(2)),2d_(x^(2)-y^(2)),4d_(z^(2))

Write down the quantum numbers n, l and m for the following orbitals: (i) 3d_(x^(2) - y^(2)) (ii) 4d_(z^(2)) (iii) 3d_(xy) (iv) 4d_(xz) (v) 2p_(z) (vi) 3p_(x)

How many of the following atomic orbitals of H atom are degenerate? 3s, 3p_(x), 3p_(z), 3d_(xy), 3d_(xz), 3d_(x^(2)-y^(2)), 3d_(z^(2)).

Consider the following orbitals 3s, 2p_(x), 4d_(xy),4d_(z^(2)), 3d_(x^(2)-y^(2)),3p_(y),4s,4p_(z) and find total number of orbital (s) having even number of nodal plane.

What values are assigned to quantum numbers n, l, m for ? (a) 3s, (b) 4 p_z, (c ) 4 d_(x^2 -y^2) , (d) 5d_(z^2) .

What is the relation between the shapes of 3d_(xy) and 3d_(x^2y^2) orbitals?