The total allowed values of $l$ for a given value of n are equal to :

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2n + 1

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2n - 1

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Solution

The correct option is D n
The azimuthal quantum number, l (the sublevel)
designates the overall shape of the orbital within a shell
affects orbital energies (larger = higher energy)
all electrons in an atom with the same value of are said to belong to the same sublevels
only integer values between 0 and n-1 are allowed so total allowed values are n.

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1 - 2 n + \frac{2 n (2 n - 1)}{2!} - \frac{2 n (2 n - 1) (2 n - 1)}{3!} + . . . + (- 1)^{n - 1} \frac{2 n (n - 1) . . . (n + 2)}{(n - 1)}

= (- 1)^{n + 1} \frac{(2 n)}{2 (n!)^{2}},

Find the value of $\sum_{r = 0}^{n} r^{n} C_{r}$

Find the value of $^{n} C_{1} + 2^{n} C_{2} + 3^{n} C_{3} . . . . . . . . . n^{n} C_{n}$

z_{n} = cos \frac{π}{(2 n + 1) (2 n + 3)} + i sin \frac{π}{(2 n + 1) (2 n + 3)}, n \in N,

lim k \to \infty (z_{1} \cdot z_{2} \cdot z_{3} \dots z_{k})

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