Flag Modern Physics> Radioactive substance has 10 ^8 nuclei, i...
question mark

Radioactive substance has 10 ^8 nuclei, it`s half life is 30s the number of nuclei left after 15s is

Suraj Mishra , 7 Years ago
Grade 11
anser 2 Answers
Vikas TU

Last Activity: 7 Years ago

Dear Student,
0.693/t1/2 = k
t1/2= half life 
k=disintegration or rot consistent 
=>0.693/30 = k
=>k=0.0231 
k=2.303log(a/a-x)/t 
a=initial sum 
a-x= sum left after deterioration 
t=time of rot 
=>0.0231=2.303log(108/108-x)/15 
=>108/108-x=1.41 
=>Amount left=108-x=7,09,21,986 nuclei.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

ankit singh

Last Activity: 4 Years ago

A radioactive for the substance has 10^8 nuclei

k=0.693/t1/2

t1/2= half life (Its half life is 30s)

k=disintegration or rot consistent  0.693/30 = k

k=0.0231

k=2.303log(a/a-x)/t

a=initial sum

a-x= sum left after deterioration

t=time of rot

0.0231=2.303log(108/108-x)/15

108/108-x=1.41

Amount left=108-x=7,09,21,986 nuclei.

Therefore The no, of nuclei left after 15s is nearly = 7,09,21,986 nuclei

Provide a better Answer & Earn Cool Goodies

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free