If the density of the gold nucleus is \(X,\) then the density of the silver nucleus will be:
1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)

The activity of a radioactive substance decays from 8000 becquerel to 4000 becquerel in 5 days. The activity of the substance after the next 10 days will be:

1.  500 becquerel

2.  1500 becquerel

3.  2000 becquerel

4.  1000 becquerel

A nucleus with mass number \(220\) initially at rest emits an \(\alpha\text-\)particle. If the \(Q\) value of the reaction is \(5.5\) MeV, then the kinetic energy of \(\alpha\text-\)particle is:
1. \(4.4\) meV
2. \(5.4\) MeV
3. \(5.6\) MeV
4. \(6.5\) MeV

The graph shows the variation of the number of radioactive atoms left undecayed with time. The time t corresponding to $\frac{N_0}{5}$ is:

1.  $\mathrm{t}$ $=$ $\frac{{\mathrm{t}}_0}{}$ $\ln \left(5\right)ln\left(2/3\right)$

2.  $\mathrm{t}$ $=$ $\frac{{\mathrm{t}}_0}{}$ $ln\left(5\right)ln\left(3/2\right)$

3.  $t$ $=$ $t_0$ $ln\left(5\right)$

4.  $\mathrm{t}$ $=$ ${\mathrm{t}}_0$ $ln\left(5\right)\times ln\left(\frac{3}{2}\right)$

A sample of radioactive material has initial mass A, decay constant B, molecular weight C and Avogadro's constant D. The activity of the sample after time, t, will be:

1.  $\left(\frac{AD}{C}\right)e^{-BT}$

2.  $\left(\frac{AD}{CB}\right)e^{-BT}$

3.  $\left(\frac{ADB}{C}\right)e^{-BT}$

4.  $\left(\frac{ADC}{B}\right)e^{-BT}$

The statement which is incorrect about nuclear force between two protons is?