wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

What is the approximate age of the ancient tree sample if specific activity of C14 in it is 14 of the activity of newly felt trees? Half-life of C14 is 5570 years.

A
11,140 years
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
5570 years
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
16,710 years
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2785 years
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 11,140 years
Decay constant
λ=ln2t1/2 = ln25570

Activity of the sample is given by
A=λN=λN0eλt
and activity of a fresh sample will be
A=λN0

Given λNλN0=14
eλt=14
ln(1/4)=λt
t=2ln2λ
This gives
t=2×5570=11,140 years

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Half and Average Life
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon