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Half-life (Modern physics)
T½ = ln 2 / λ = 0.693/λ
Where: T½ = half-life (s), λ = wavelength (m) / decay constant
Solved example
Given: lamda = 7
Find: T_half (half-life (s))
- Formula: T½ = ln(2)/λ
- Substitute the values: T½ = ln(2)/7
- Result: T½ = 0.099021 s
Answer: T_half = 0.099021 s
Calculator
How to calculate Half-life (Modern physics)
- Write down the formula: T½ = ln 2 / λ = 0.693/λ.
- Note the known values (λ).
- Substitute them and simplify to find T_half.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Half-life (Modern physics)?
The formula is T½ = ln 2 / λ = 0.693/λ, where T½ = half-life (s), λ = wavelength (m) / decay constant.
What is Half-life (Modern physics) when lamda = 7?
T_half = 0.099021 s. Substitute the values into T½ = ln 2 / λ = 0.693/λ and simplify.