Read before you solve · 3 min
Read Radioactive Ages: Take the Logarithm of the Ratio
This short read prepares one exact NSEP pattern: carbon dating from activity ratio. Identify the physical condition before calculating.
NSEP · Modern Physics · 1 linked question · 100% coverage
Know this first
Carbon Dating from Activity Ratio is the central idea in this question pattern. Identify the condition in the stem before applying the method below.
Study deeper: NCERT Physics · Modern Physics
Start with the physical model
Read the configuration once, state the conserved quantity or governing law, and mark any changing geometry, sign convention or limiting condition.
Build the relation
Radioactive activity follows
A = A0e-λt
Given A/ A0 = 3/5 and λ=ln2/T1/2, t = [ln(5/3)/ln2]×5570 ≈ 4105 years
Check before selecting
Check units, sign and one limiting case. A valid result must still fit the original geometry and stated constraint.
OlympIQ exam lens
- ✓Name the governing law before using a formula.
- ✓Keep the stated geometry and direction information explicit.
- ✓Use one unit or limiting-case check.
OlympIQ trap
Activity and number of undecayed nuclei have the same exponential ratio, so no separate activity formula is needed.
Ready to try the pattern?
100% coverage across the linked question.
Practise the linked questionSign in to practise — your XP, streak and analysis update as you solve.