1
JEE Main 2024 (Online) 27th January Evening Shift
+4
-1

The atomic mass of $${ }_6 \mathrm{C}^{12}$$ is $$12.000000 \mathrm{~u}$$ and that of $${ }_6 \mathrm{C}^{13}$$ is $$13.003354 \mathrm{~u}$$. The required energy to remove a neutron from $${ }_6 \mathrm{C}^{13}$$, if mass of neutron is $$1.008665 \mathrm{~u}$$, will be :

A
62.5 MeV
B
6.25 MeV
C
4.95 MeV
D
49.5 MeV
2
JEE Main 2024 (Online) 27th January Morning Shift
+4
-1

The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit will be:

A
$$\frac{4}{3} \mathrm{R}$$
B
$$\frac{16}{9} R$$
C
$$\frac{3}{4} R$$
D
$$\frac{9}{16} \mathrm{R}$$
3
JEE Main 2023 (Online) 15th April Morning Shift
+4
-1
Out of Syllabus
The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:
A
$\frac{1}{8}$
B
$\frac{3}{4}$
C
$\frac{7}{8}$
D
$\frac{1}{4}$
4
JEE Main 2023 (Online) 13th April Evening Shift
+4
-1
Out of Syllabus

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathbf{R}$$

Assertion A : The binding energy per nucleon is practically independent of the atomic number for nuclei of mass number in the range 30 to 170 .

Reason R : Nuclear force is short ranged.

In the light of the above statements, choose the correct answer from the options given below

A
$$\mathrm{A}$$ is false but $$\mathbf{R}$$ is true
B
$$\mathrm{A}$$ is true but $$\mathbf{R}$$ is false
C
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are true and $$\mathbf{R}$$ is the correct explanation of $$\mathbf{A}$$
D
Both $$\mathbf{A}$$ and $$\mathbf{R}$$ are true but $$\mathbf{R}$$ is NOT the correct explanation of $$\mathbf{A}$$
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