Bohr S Model For Hydrogen Atom

Step 1: The speed $v$ of an electron in the nth orbit of a hydrogen atom can be calculated using the formula: $v%20%3D%20%5Cfrac%7Be%5E2%7D%7B2%5Cepsilon_0%20h%7D%20%5Ccdot%20%5Cfrac%7B1%7D%7Bn%7D$ where: - $e$ is the elementary charge ( $1.6%20%5Ctimes%2010%5E%7B-19%7D%20%5C%2C%20C$ ) - $%5Cepsilon_0$ is the permittivity of free space ( $8.85%20%5Ctimes%2010%5E%7B-12%7D%20%5C%2C%20%7BC%7D%5E2%20%5C%2C%20%7BN%7D%5E%7B-1%7D%20%5C%2C%20%7Bm%7D%5E%7B-2%7D$ ) - $h$ is Planck's constant ( $6.63%20%5Ctimes%2010%5E%7B-34%7D%20%5C%2C%20%7BJ%7D%20%5Ccdot%20%7Bs%7D$ ) - $n$ is the principal quantum number
Step 2: For $n%20%3D%203$ , substitute the known values into the formula: $v%20%3D%20%5Cfrac%7B(1.6%20%5Ctimes%2010%5E%7B-19%7D)%5E2%7D%7B2%20%5Ctimes%208.85%20%5Ctimes%2010%5E%7B-12%7D%20%5Ctimes%206.63%20%5Ctimes%2010%5E%7B-34%7D%7D%20%5Ccdot%20%5Cfrac%7B1%7D%7B3%7D$ Simplifying this expression yields: $v%20%5Capprox%207.3%20%5Ctimes%2010%5E5%20%5C%2C%20%7Bms%7D%5E%7B-1%7D$

High-Yield Trend

Chapter Questions
2 MCQs

Official Solution

Official Solution

Bohr S Model For Hydrogen Atom

High-Yield Trend

Chapter Questions 2 MCQs

Official Solution

Official Solution

Chapter Questions
2 MCQs