Home
Class 7
MATHS
Given that carbon-14 (C(14)) decays at a...

Given that carbon-14 `(C_(14))` decays at a constant rate in such a way that it is reduced to 25% in 1244 years. Find the age of a tree in which the carbon is only 6.25% of the original.

A

3122 years

B

3210 years

C

3124 years

D

3214 years

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Use formula for depreciation.
(ii) In first 1562 years, it reduces to 20%.
(iii) In next 1562 years, it reduces to 20% of 20%, i.e., 4%.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE INTEREST AND COMPOUND INTEREST

    PEARSON IIT JEE FOUNDATION|Exercise Level 2|20 Videos

  • Set theory

    PEARSON IIT JEE FOUNDATION|Exercise ASSESSMENT TEST Test 2|12 Videos

  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 3)|11 Videos

Similar Questions

Explore conceptually related problems

Given that carbon -14(C_(14)) decays at a constant rate in such a way that it reduces to 50% in 5568 years.Find the age of an old wooden piece in which the carbon is only 12.5% of the original.

Given that carbon-14 decays at a constant rate in such a way that it reduces to 50% in 5568 years, find the age of an old wooden piece in which the carbon is only 12.5% of the original. 15836 y e a r s b. 16668 y e a r s c. 16704 y e a r s d. 17552 y e a r s

Given that carbon: 14("C"_(14) ) decays at a constant rate In such a way that it reduces to 50% in 5568 yr. Then, the age of an old wooden piece In which the carbon Is only 12.5% of the original Is equal to

The half life of Uranium -233 is 160000 yr i.e. Uranium -233 decays at a constant rate in such a way that it reduces to 50% in 160000 yr. In how many years, will it reduce to 25%

If cost of 1kg sugar is reduced by 25% and is equal to Rs10 then find the original cost

Mohan purchased a house for Rs 30000 and its value is depreciating at the rate of 25% per year. Find the value of the house after 3 years.

Rate constant for a reaction is 10^(-3) S^(-1) . How much time is required to reduce the initial concentration of reactant to 25%