Law of Radioactive decay
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
NUCLEAR PHYSICS

147807 If $T$ is the half-life of a radioactive substance then its instantaneous rate of change of activity is proportional to

1 $\sqrt{\mathrm{T}}$
2 $\mathrm{T}^{2}$
3 $\mathrm{T}$
4 $\mathrm{T}^{-2}$
NUCLEAR PHYSICS

147808 A sample of radioactive element contains $8 \times$ $10^{16}$ active nuclei. The half-life of the element is 15 days. The number of nuclei decayed after 60 days is

1 $2 \times 10^{16}$
2 $7.5 \times 10^{16}$
3 $4 \times 10^{16}$
4 $0.5 \times 10^{16}$
NUCLEAR PHYSICS

147809 Two radioactive materials $Y_{1}$ and $Y_{2}$ have decay constants ' $5 \lambda$ ' and ' $\lambda$ ' respectively. Initially they have same number of nuclei. After time ' $t$ ', the ratio of number of nuclei of $Y_{1}$ to that of $Y_{2}$ is $\frac{1}{e}$, then ' $t$ ' is equal to

1 $\frac{\lambda}{2}$
2 $\frac{\mathrm{e}}{\lambda}$
3 $\frac{1}{4 \lambda}$
4 $\lambda$
NUCLEAR PHYSICS

147810 A radioactive substance has half life of 3 hours. $\mathbf{7 5 \%}$ of the substance would decay in

1 6 hours
2 12 hours
3 9 hours
4 3 hours
NUCLEAR PHYSICS

147807 If $T$ is the half-life of a radioactive substance then its instantaneous rate of change of activity is proportional to

1 $\sqrt{\mathrm{T}}$
2 $\mathrm{T}^{2}$
3 $\mathrm{T}$
4 $\mathrm{T}^{-2}$
NUCLEAR PHYSICS

147808 A sample of radioactive element contains $8 \times$ $10^{16}$ active nuclei. The half-life of the element is 15 days. The number of nuclei decayed after 60 days is

1 $2 \times 10^{16}$
2 $7.5 \times 10^{16}$
3 $4 \times 10^{16}$
4 $0.5 \times 10^{16}$
NUCLEAR PHYSICS

147809 Two radioactive materials $Y_{1}$ and $Y_{2}$ have decay constants ' $5 \lambda$ ' and ' $\lambda$ ' respectively. Initially they have same number of nuclei. After time ' $t$ ', the ratio of number of nuclei of $Y_{1}$ to that of $Y_{2}$ is $\frac{1}{e}$, then ' $t$ ' is equal to

1 $\frac{\lambda}{2}$
2 $\frac{\mathrm{e}}{\lambda}$
3 $\frac{1}{4 \lambda}$
4 $\lambda$
NUCLEAR PHYSICS

147810 A radioactive substance has half life of 3 hours. $\mathbf{7 5 \%}$ of the substance would decay in

1 6 hours
2 12 hours
3 9 hours
4 3 hours
NUCLEAR PHYSICS

147807 If $T$ is the half-life of a radioactive substance then its instantaneous rate of change of activity is proportional to

1 $\sqrt{\mathrm{T}}$
2 $\mathrm{T}^{2}$
3 $\mathrm{T}$
4 $\mathrm{T}^{-2}$
NUCLEAR PHYSICS

147808 A sample of radioactive element contains $8 \times$ $10^{16}$ active nuclei. The half-life of the element is 15 days. The number of nuclei decayed after 60 days is

1 $2 \times 10^{16}$
2 $7.5 \times 10^{16}$
3 $4 \times 10^{16}$
4 $0.5 \times 10^{16}$
NUCLEAR PHYSICS

147809 Two radioactive materials $Y_{1}$ and $Y_{2}$ have decay constants ' $5 \lambda$ ' and ' $\lambda$ ' respectively. Initially they have same number of nuclei. After time ' $t$ ', the ratio of number of nuclei of $Y_{1}$ to that of $Y_{2}$ is $\frac{1}{e}$, then ' $t$ ' is equal to

1 $\frac{\lambda}{2}$
2 $\frac{\mathrm{e}}{\lambda}$
3 $\frac{1}{4 \lambda}$
4 $\lambda$
NUCLEAR PHYSICS

147810 A radioactive substance has half life of 3 hours. $\mathbf{7 5 \%}$ of the substance would decay in

1 6 hours
2 12 hours
3 9 hours
4 3 hours
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
NUCLEAR PHYSICS

147807 If $T$ is the half-life of a radioactive substance then its instantaneous rate of change of activity is proportional to

1 $\sqrt{\mathrm{T}}$
2 $\mathrm{T}^{2}$
3 $\mathrm{T}$
4 $\mathrm{T}^{-2}$
NUCLEAR PHYSICS

147808 A sample of radioactive element contains $8 \times$ $10^{16}$ active nuclei. The half-life of the element is 15 days. The number of nuclei decayed after 60 days is

1 $2 \times 10^{16}$
2 $7.5 \times 10^{16}$
3 $4 \times 10^{16}$
4 $0.5 \times 10^{16}$
NUCLEAR PHYSICS

147809 Two radioactive materials $Y_{1}$ and $Y_{2}$ have decay constants ' $5 \lambda$ ' and ' $\lambda$ ' respectively. Initially they have same number of nuclei. After time ' $t$ ', the ratio of number of nuclei of $Y_{1}$ to that of $Y_{2}$ is $\frac{1}{e}$, then ' $t$ ' is equal to

1 $\frac{\lambda}{2}$
2 $\frac{\mathrm{e}}{\lambda}$
3 $\frac{1}{4 \lambda}$
4 $\lambda$
NUCLEAR PHYSICS

147810 A radioactive substance has half life of 3 hours. $\mathbf{7 5 \%}$ of the substance would decay in

1 6 hours
2 12 hours
3 9 hours
4 3 hours