Exams › JEE Advanced › Chemistry

The price of a radioactive substance is directly proportional to its activity. If the initial price of a radioactive sample with half-life of 6 months is Rs 4096, what will be the price after 5 years?

1. Rs 4
2. Rs 8
3. Rs 16
4. Rs 4096

Correct answer: Rs 4

Solution

After 10 half-lives, the activity drops by a factor of 2¹⁰ = 1024. Price = 4096/1024 = Rs 4.

Related JEE Advanced Chemistry questions

• Two radioactive substances A and B initially have amounts in the ratio 4:1 (i.e., [A]0 = 4x and [B]0 = x). After a certain time, the amounts remaining are equal. If n1 and n2 are the number of half-lives elapsed for A and B respectively during this time, what is the value of (n1 - n2)?
• Gadolinium-153, used to detect osteoporosis, has a half-life of 242 days. Which value is closest to the percentage of Gd-153 remaining in a patient after 2 years?
• Nuclide x(A)^y (mass number A, atomic number y) and p(B)^q are isobars. Nuclide m(C)ⁿ is an isotone with x(A)^y. Select the correct option.
• Select the correct option(s) regarding radioactivity of U²³⁵ and U3O8 (where all uranium is U²³⁵):
• The rate of radioactive decay of a radioactive element depends on which of the following?
• A radioactive isotope undergoes decay by emitting 7 alpha particles and 6 beta particles to eventually form a stable product. What is the difference between the atomic number of the original radioactive isotope and that of the stable product?

⚔️ Practice JEE Advanced Chemistry free + battle 1v1 →