if velocity of an electron in third energy level of hydrogen like atom is v, then velocity of electron in fifth energy level is
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Given: Velocity of an electron in third energy level of hydrogen like atom is v.
To find: Velocity of electron in fifth energy level
Explanation: In a hydrogen like atom the velocity is directly proportional to the atomic number of hydrogen like atom and inversely proportional to the energy level(n).
In this case, the atomic number is same. The relation required in this case is:
v is indirectly proportional to 1/n
=> v1/v2= n2/n1
Here, n1=3, v1= v, n2= 5 , v2=?
=> v/v2 = 5/3
=> 3v= 5 v2 ( cross multiplication)
=> 3v/5 = v2
Therefore, the velocity of electron in fifth energy level is 3v/5.
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