1
IAT (IISER) 2022
MCQ (Single Correct Answer)
+4
-1
Consider that in a fission of a single Plutonium ( $\mathrm{Pu}^{239}$ ) atom 207 MeV energy is released. Assuming all atoms of Plutonium undergo fission, which of the following options is the closest estimate of the amount of Plutonium required for a 20,000 units of TNT explosion? (1 unit of TNT $=4.184 \times 10^9 \mathrm{~J}, 1 \mathrm{eV}=1.6 \times 10^{-19} \mathrm{~J}$ )
A
60.0 g
B
0.5 kg
C
1 kg
D
10 kg
2
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

An electron of mass $m_e$ has a speed $u_n$ in the $n^{\text {th }}$ Bohr orbit of a hydrogen atom. The normalized speed $V_n$ is given as $V_n=u_n / c=1 / 685$ and the mass of the electron in the units of energy is given as $M_e=m_e c^2=0.51 \times 10^6 \mathrm{eV}$, where $c$ is the velocity of light in a vacuum. It is given that $\frac{e^2}{2 \epsilon_0 h c}=1 / 137$. The Planck's constant h is given as $4.13 \times 10^{-15} \mathrm{eV}-\mathrm{sec}$. The electron makes a transition from $n^{\text {th }}$ orbit to the ground state of the atom. What is the frequency of the emitted photon?

A
$3.29 \times 10^{15} \mathrm{~Hz}$
B
$2.47 \times 10^{15} \mathrm{~Hz}$
C
$2.93 \times 10^{15} \mathrm{~Hz}$
D
$3.16 \times 10^{15} \mathrm{~Hz}$
IAT (IISER) Subjects
EXAM MAP