1
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

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
$$\frac{9}{16} \mathrm{R}$$
2
JEE Main 2023 (Online) 15th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
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
$\frac{1}{4}$
3
JEE Main 2023 (Online) 13th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

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 $$\mathbf{A}$$
4
JEE Main 2023 (Online) 13th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

$$_{92}^{238}A \to _{90}^{234}B + _2^4D + Q$$

In the given nuclear reaction, the approximate amount of energy released will be:

[Given, mass of $${ }_{92}^{238} \mathrm{~A}=238.05079 \times 931.5 ~\mathrm{MeV} / \mathrm{c}^{2},$$

mass of $${ }_{90}^{234} B=234 \cdot 04363 \times 931 \cdot 5 ~\mathrm{MeV} / \mathrm{c}^{2},$$

mass of $$\left.{ }_{2}^{4} D=4 \cdot 00260 \times 931 \cdot 5 ~\mathrm{MeV} / \mathrm{c}^{2}\right]$$

A
2.12 MeV
B
4.25 MeV
C
3.82 MeV
D
5.9 MeV
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