How many orbitals are there in the seventh shell ?
You can determine the number of orbitals you have in a particular shell by using the principal quantum number,
More specifically, the number of orbitals that can be found in each shell is given by
#"no. of orbitals" = n^2#
So, for the first shell you have
#"no. of orbitals" = 1^2 = 1#
For the second shell you have
#"no. of orbitals" = 2^2 = 4#
In your case, the seventh shell will contain
#"no. of orbitals" = 7^2 = 49#
Notice that you can easily find the number of electrons that an atom can accomodate on a particular shell, or energy level, by using the fact that each orbital can hold a maximum of two electrons.
In the case of the seventh shell, those
#"no. of electrons" = 2 * 49 = "98 e"^(-)#