After five half lives what will be the fraction of initial substance

  • A

    ${\left( {\frac{1}{2}} \right)^{10}}$

  • B

    ${\left( {\frac{1}{2}} \right)^5}$

  • C

    ${\left( {\frac{1}{2}} \right)^4}$

  • D

    ${\left( {\frac{1}{2}} \right)^3}$

Similar Questions

In a radioactive material the activity at time $t_1$ is $R_1$ and at a later time $t_2$ it is $R_2$. If the decay constant of the material is $\lambda$ then

  • [AIPMT 2006]

The half life period of a radioactive substance is $5\, min$. The amount of substance decayed in $20\, min$ will be..........$\%$

A radioactive material decays by simultaneous emission of two particles with respective half lives $1620$ and $810$ years. The time (in years) after which one- fourth of the material remains is

  • [IIT 1995]

At any instant the ratio of the amount of radioactive substances is $2 : 1$. If their half lives be respectively $12$ and $16$ hours, then after two days, what will be the ratio of the substances

A piece of wood from the ruins of an ancient building was found to have a $^{14}C$ activity of $12$ disintegrations per minute per gram of its carbon content. The $^{14}C$ activity of the living wood is $16$ disintegrations per minute per gram. How long ago did the tree, from which the wooden sample came, die? Given half-life of $^{14}C$ is $5760$ years.