The correct Schrodinger's wave equation for a electron with total energy E and potential energy V is given by

1.  $\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{x}}^2}+\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{y}}^2}+\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{z}}^2}+\frac{8{\mathrm{\pi }}^2}{{\mathrm{mh}}^2}\left(\mathrm{E}-\mathrm{V}\right) \mathrm{\psi }=0$

2.  $\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{x}}^2}+\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{y}}^2}+\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{z}}^2}+\frac{8\mathrm{\pi m}}{{\mathrm{h}}^2}\left(\mathrm{E}-\mathrm{V}\right) \mathrm{\psi }=0$

3.  $\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{x}}^2}+\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{y}}^2}+\frac{{\partial }^2\mathrm{\psi }}{\partial {\mathrm{z}}^2}+\frac{8{\mathrm{\pi }}^2\mathrm{m}}{{\mathrm{h}}^2}\left(\mathrm{E}-\mathrm{V}\right) \mathrm{\psi }=0$

4.  None of the above.

Which of the following expressions represents the spectrum of Balmer series (If n is the principal quantum number of higher energy level) in Hydrogen atom?

1.  $\overline{\mathrm{v}}=\frac{\mathrm{R}\left(\mathrm{n}-1\right) \left(\mathrm{n}+1\right)}{{\mathrm{n}}^2} {\mathrm{cm}}^{-1}$

2.  $\overline{\mathrm{v}}=\frac{\mathrm{R}\left(\mathrm{n}-2\right) \left(\mathrm{n}+2\right)}{4{\mathrm{n}}^2} {\mathrm{cm}}^{-1}$

3.  $\overline{\mathrm{v}}=\frac{\mathrm{R}\left(\mathrm{n}-2\right) \left(\mathrm{n}+2\right)}{{\mathrm{n}}^2} {\mathrm{cm}}^{-1}$

4.  $\overline{\mathrm{v}}=\frac{\mathrm{R}\left(\mathrm{n}-1\right) \left(\mathrm{n}+1\right)}{4{\mathrm{n}}^2} {\mathrm{cm}}^{-1}$

Slope of ${\mathrm{V}}_0$ vs v curve is (where ${\mathrm{V}}_0$=stopping potential, v=subjected frequency)

1.  $\mathrm{e}$

2.  $\frac{\mathrm{h}}{\mathrm{e}}$

3.  $\mathrm{\varphi }$

4.  $\mathrm{h}$

An excited state of H atom emits a photon of wavelength $\mathrm{\lambda }$ and returns in the ground state, the principal quantum number of excited state is given by:

1.  $\sqrt{\mathrm{\lambda R}\left(\mathrm{\lambda R}-1\right)}$

2.  $\sqrt{\frac{\mathrm{\lambda R}}{\left(\mathrm{\lambda R}-1\right)}}$

3.  $\sqrt{\mathrm{\lambda R}\left(\mathrm{\lambda R}+1\right)}$

4.  $\sqrt{\frac{\left(\mathrm{\lambda R}-1\right)}{\mathrm{\lambda R}}}$

Each questions contains STATEMENT-1 (Assertion) and STATEMENT2- (Reason).

Examine the statements carefully and mark the correct answer according to the instructions given below:

Statement-1: Emitted radiation will fall in visible range when an electron jump from n=4 to n=2 in H-atom

Statement-2: Balmer series radiations belong to visible range for hydrogen atom .

1.  If both the statement are true and statement -2 is the correct explanation of statement-1

2.  If both the statements are true but statement-2 is not the correct explanation of statement-1

3.  If statement-1 is true and statement-2 is false

4.  If statement-1 is false and statement-2 is true

If the uncertainty in position and momentum are equivalent, what is the corresponding uncertainty in velocity?

Which one of the following ions has electronic configuration [Ar]3d⁶?

(At. no: Mn = 25, Fe = 26, Co = 27, Ni =28)

(1) Ni³⁺               

(2) Mn³⁺

(3) Fe³⁺               

(4) Co³⁺

Maximum number of electrons in a subshell 4f is

(1) 14
(2) 16
(3) 10
(4) 12

What is the maximum numbers of electrons that can be associated with the following set of quantum numbers?

n=3, l = 1 and m=-1

(1) 10
(2) 6
(3) 4
(4) 2

Which is the correct order of increasing energy of the listed orbitals in the atom of titanium?

(1) 3s 4s 3p 3d                   

(2) 4s 3s 3p 3d

(3) 3s 3p 3d 4s                   

(4) 3s 3p 4s 3d