1
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
Which of the following transitions of $ \mathrm{He}^{+} $ion will give rise to spectral line which has same wavelength as the spectral line in hydrogen atom?
A
$ n=4 $ to $ n=2 $
B
$ n=6 $ to $ n=5 $
C
$ n=6 $ to $ n=3 $
D
None of these
2
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

The total energy of an electron in the second excited state of hydrogen atom is about $$-1.51 \mathrm{~eV}$$. Its kinetic energy in this state is

A
$$-1.5 \mathrm{~eV}$$
B
$$-3.02 \mathrm{~eV}$$
C
3.02 eV
D
1.51 eV
3
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

After two hours one-eight of the starting amount of a certain radioactive isotope remained undecayed. The half-life of the isotope is

A
15 min
B
40 min
C
45 min
D
4 h
4
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

In a radioactive material the activity at time t1, is A1 and at a later time t2, it is A2. If the decay constant of the material is $$\lambda$$, then

A
$${A_1} = {A_2}\,{e^{ - \lambda ({t_1} - {t_2})}}$$
B
$${A_1} = {A_2}\,{e^{\lambda ({t_1} - {t_2})}}$$
C
$${A_1} = {A_2}({t_2}/{t_1})$$
D
$${A_1} = {A_2}$$
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