1
IAT (IISER) 2025
MCQ (Single Correct Answer)
+4
-1

What is the time period of revolution of an electron in the fourth Bohr orbit of $\mathrm{He}^{+}$?

[Bohr radius $=52.9$ picometers, mass of an electron $=9.11 \times 10^{-31} \mathrm{~kg}$, Planck's constant $=6.626 \times 10^{-34} \mathrm{Js}$ ]

A

24 femtoseconds

B

4.8 femtoseconds

C

24 femtoseconds

D

2.4 femtoseconds

2
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
The minimum energy needed to remove an electron from a metal corresponds to a wavelength of 500 nm . What is the total kinetic energy of all the photoelectrons ejected per second when the entire radiation from a 100 Watt bulb with a wavelength of 300 nm falls on the surface of the metal? [Planck's constant $=6.6 \times 10^{34} \mathrm{Js}$; speed of light $=3 \times 10^8 \mathrm{~ms}^{-1}$ ]
A
$1.6 \times 10^{-19} \mathrm{~J}$
B
$2.6 \times 10^{-19} \mathrm{~J}$
C
40 J
D
80 J
3
IAT (IISER) 2023
MCQ (Single Correct Answer)
+4
-1

$$ \text { How many radial nodes does } \mathrm{Ca}^{+} \text {have in its } 4 \text { s orbital? } $$

A
0
B
1
C
2
D
3
4
IAT (IISER) 2022
MCQ (Single Correct Answer)
+4
-1

Which of the following expressions represents the hydrogen atom wave function $\psi(r)$ shown in the figure below? ( $r$ is the distance of the electron from the nucleus and $a_0$ is a constant)

IAT (IISER) 2022 Chemistry - Atomic Structure Question 2 English
A
$\cdot \frac{1}{\sqrt{\pi}}\left(\frac{1}{a_0}\right)^{3 / 2} e^{-r / 2 a_0}$
B
$\frac{1}{\sqrt{6 \pi}}\left(\frac{1}{a_0}\right)^{3 / 2}\left(\frac{r}{a_0}\right) e^{-r / 2 a_0}$
C
$\frac{1}{4 \sqrt{2 \pi}}\left(\frac{1}{a_0}\right)^{3 / 2}\left(2-\frac{r}{a_0}\right) e^{-r / 2 a_0}$
D
$\frac{1}{\sqrt{3 \pi}}\left(\frac{1}{a_0}\right)^{3 / 2}\left(3-\frac{2 r}{a_0}+\frac{2 r^2}{9 a_0^2}\right) e^{-r / 3 a_0}$

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