Answer:
option c = 2n²
Step-by-step explanation:
Principle energy levels are represented by n. The number of orbital per energy level are determine through n². While the number of electrons in per energy level are determine through 2n².
For example:
Principle energy level n number of orbitals n² number of electrons 2n².
1 1² = 1 2(1)² =2
2 2² = 4 2(2)² = 8
3 3² = 9 2(3)² = 18
while the number of electrons in subshell can be determine through Aufbau principal.We know that there four subshells s, p, d and f. The maximum number of electrons in these subshells can be calculated by following formula:
2 (2l +1 )
and l = 0,1,2,3,....
maximum numbers of electrons in s subshell are,
l=0
2 ( 2(0) + 1)
2
so maximum electrons in s subshell are 2.
maximum numbers of electrons in p subshell are,
l = 1
2 ( 2(1) + 1)
2( 2 + 1
6
so maximum electrons in p subshell are 6.
maximum numbers of electrons in d subshell are,
l = 2
2 ( 2(2) + 1)
2( 4 + 1)
10
so maximum electrons in d subshell are 10.
maximum numbers of electrons in f subshell are,
l = 3
2 ( 2(3) + 1)
2( 6 + 1)
14
so maximum electrons in f subshell are 14.