Question

The table below compares the radioactive decay rates of two materials.

Material Original mass of material (in grams)
1 100
2 200
Mass of material after 11,460 years (in grams)
1 25
2 25
Based on the table, which of these conclusions is most likely correct?

A. The half-life of Material 2 is double the half life of Material 1.
B. The half-life of Material 1 and Material 2 are equal.
C. The half-life of Material 1 is 1,910 years more than the half-life of Material 2.
D. The half-life of Material 2 is 1,910 years more than the half-life of Material 1.

Answer 1

C. is the answer

Answer 2

can u explain pls

Answer 3

Half life is the time taken for a radioactive material to get reduced to half of the initial amount.
Material 1 initial=100 g , final=25 grams
so it has got reduced by a factor of 4 so the period 11460 is actually two half lives of this one
so half life of material 1 = 11460/2=5730 years
doing the same for material 2
initial=200 g, final=25 grams
it's got reduced by a factor of 8, this is equivalent to a period of 3 half lives
so half life of material 2= 11460/3=3820 years
@vivsss I think you can find the answer now, can't you?