Home
Class 12
CHEMISTRY
Three-fourth of a radioactive material d...

Three-fourth of a radioactive material decays in 2.5 days. How long will it take for `15//16th` of the material to decay?
a. 2 days b. 5 days c. 7.5 days d. 10 days

A

a. 2 days

B

b. 5 days

C

c. 7.5 days

D

c. 7.5 days

Text Solution

Verified by Experts

The correct Answer is:
b. 5 days
`(t_(15//16))/(t_(3//4)) = ("log"(a_(0))/(a_(0) - x))/("log" (a_(0))/(a_(0) - x_(1)))`
`("log" (a_(0))/(a_(0) - x))/("log" (a_(0))/(a_(0)//14)) implies ("log"16)/(log4) = (4)/(2)`
`:.t_(15//16) = t_(3//4) xx 2`
`= 2.5 xx 2 = 5`
Promotional Banner

Topper's Solved these Questions

  • NUCLEAR CHEMISTRY

    CENGAGE CHEMISTRY|Exercise Solved Example|18 Videos

  • NUCLEAR CHEMISTRY

    CENGAGE CHEMISTRY|Exercise Ex6.1 Objective|15 Videos

  • NCERT BASED EXERCISE

    CENGAGE CHEMISTRY|Exercise Nuclear Chemistry (NCERT Exercise)|29 Videos

  • ORGANIC COMPOUNDS WITH FUNCTIONAL GROUP

    CENGAGE CHEMISTRY|Exercise Archives Analytical And Descriptive|24 Videos

Similar Questions

Explore conceptually related problems

If 10% of a radioactive material decays in 5 days, then the amount of original material left after 20 days is approximately.

20% of a radioactive substances decay in 10 days . Calculate the amount of the original material left after 30 days.

A radioactive material has half-life of 10 days. What fraction of the material would remain after 30 days ?

3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to do it? (a) 6 days (b) 5 days (c) 4 days (d) 3 days

The half life period of a radioactive element is 10 days. Then how long does it take for 90% of a given mass of this elements to disintegrate -A) 19 days B) 27 days C) 33 days -D) 47 days

The fraction of atoms of radioactive element that decays in 6 days is 7/8. the fraction that decays in 10 days will be

If 20% of a radioactive sample decays in 10 days, then the amount of substance left after 20 days will be approximately