1
JEE Main 2023 (Online) 11th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The energy of $$\mathrm{He}^{+}$$ ion in its first excited state is, (The ground state energy for the Hydrogen atom is $$-13.6 ~\mathrm{eV})$$ :

A
$$-13.6 ~\mathrm{eV}$$
B
$$-27.2 ~\mathrm{eV}$$
C
$$-3.4 ~\mathrm{eV}$$
D
$$-54.4 ~\mathrm{eV}$$
2
JEE Main 2023 (Online) 11th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If $$\lambda_{A}$$ and $$\lambda_{B}$$ are decay constants of A and B respectively, then choose the correct relation from the given options.

A
$$\lambda_{\mathrm{A}}=\lambda_{\mathrm{B}} \ln 2$$
B
$$\lambda_{\mathrm{A}} \ln 2=\lambda_{\mathrm{B}}$$
C
$$\lambda_{\mathrm{A}}=2 \lambda_{\mathrm{B}}$$
D
$$\lambda_{\mathrm{A}}=\lambda_{\mathrm{B}}$$
3
JEE Main 2023 (Online) 10th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The half life of a radioactive substance is T. The time taken, for disintegrating $$\frac{7}{8}$$th part of its original mass will be:

A
8T
B
3T
C
T
D
2T
4
JEE Main 2023 (Online) 10th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to revolve in second orbit of hydrogen atom, then the change in angular momentum will be

A
L
B
$$\frac{L}{2}$$
C
zero
D
2 L
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