A radioactive isotope has a half-life of...

A radioactive isotope has a half-life of T years. How long will it take the activity to reduce to a) 3.125%, b) 1% of its original value?

Text Solution

Verified by Experts

(a) 5 T years (b) 6.65 T years

Topper's Solved these Questions

NUCLEI
NCERT BANGLISH|Exercise ADDITIONAL EXERCISES|8 Videos
NUCLEI
NCERT BANGLISH|Exercise ADDITIONAL EXERCISES|8 Videos
MOVING CHARGES AND MAGNETISM
NCERT BANGLISH|Exercise ADDITIONAL EXERCISES|16 Videos
RAY OPTICS AND OPTICAL INSTRUMENTS
NCERT BANGLISH|Exercise EXERCISES|38 Videos

Similar Questions

Explore conceptually related problems

A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to 3.125% ?

A radioactive isotope has a half-life of T years. How long will it take for the activity to reduce to 3.125% of its original value?

The half-life of iodine-131 is 8d. In how many days its activity will be 1/sqrt2 part of its initial value ?

A radioactive nucleus A with a half-life T, decays into a nucleus B. At t=0, there is no nucleus B. At sometime t, the ratio of the number of B to that of A is 0.3. Then, t is given by - (A) t=T/2 (log2)/(log1.3) (B) t=T (log1.3)/(log 2) (C) t=T log (1.3) (D) t=T/(log (1.3))

A first order reaction has a rate constant 1.15 xx 10^-3s^-1 . How long will 5 g of this reactant take to reduce to 3g ?

The half-life of cobalt - 60 is 5.26 years. Calculate the % activity remaining after 4 years.

The half-life of At^215 is 100 mus .The time taken for the radioactivity of a sample of the element to decay 1/16 th of its initial value is

Half fife of a first order reaction is 60 min. How long will it take to consume 90% of the reaction’?

A first order reaction has a rate constant 1.15xx10^(-3)s^(-1) . How long will 5g of this reactant take to reduce to 3g?

Copper sulphate solution (250 mL) was electrolysed using a platinum anode and a copper cathode. A constant current of 2mA was passed for 16 min. It was found that after electrolysis the absorbance of the solution was reduced to 50% of its original value. Calculate the concentration of CuSO_(4) in the solution to begin with.

NCERT BANGLISH-NUCLEI-EXERCISE

Obtain the binding energy (in MeV) of a nitrogen nucleus (""(7)^(14)N)...
Text Solution
|
Obtain the binding energy of the nuclei ""(26)^(56)Fe and ""(83)^(209)...
Text Solution
|
A given coin has a mass of 3.0 g. Calculate the nuclear energy that wo...
Text Solution
|
Write nuclear reaction equations for {:((i) a-"decay of " (88)^(226)...
Text Solution
|
A radioactive isotope has a half-life of T years. How long will it tak...
Text Solution
|
The normal activity of living carbon-containing matter is found to be ...
Text Solution
|
Obtain the amount of ""(27)^(60)Co necessary to provide a radioactive ...
Text Solution
|
The half-life of ""(38)^(90)Sr is 28 years. What is the disintegration...
Text Solution
|
Obtain approximately the ratio of the nuclear radii of the gold isotop...
Text Solution
|
Find the Q-value and the kinetic energy of the emitted a-particle in t...
Text Solution
|
The radionuclide ""^(11)C decays according to ""(6)^(11)C to ""(5)^(...
Text Solution
|
The nucleus ""(10)^(23)Ne decays by beta^(-)– mission. Write down the ...
Text Solution
|
The Q value of a nuclear reaction A + b to C + d is defined by Q =...
Text Solution
|
Suppose, we think of fission of a ""(26)^(56)Fe nucleus into two equal...
Text Solution
|
The fission properties of ""(94)^(239)Pu are very similar to those of ...
Text Solution
|
A 1000 MW fission reactor consumes half of its fuel in 5.00 y. How muc...
Text Solution
|
How long can an electric lamp of 100W be kept glowing by fusion of 2.0...
Text Solution
|
Calculate the height of the potential barrier for a head on collision ...
Text Solution
|
From the relation R = R0A^(1//3), where R0 is a constant and A is the ...
Text Solution
|
For the b+ (positron) emission from a nucleus, there is another compet...
Text Solution
|