Structure of Atom

Given below are the quantum numbers for 4 electrons.

A. $n=3,\mathcal{l}=2,m_{\mathcal{l}}=1,m_s=+1/2$

B. $n=4,\mathcal{l}=1,m_{\mathcal{l}}=0,m_s=+1/2$

C. $n=4,\mathcal{l}=2,m_{\mathcal{l}}=-2,m_s=-1/2$

D. $n=3,\mathcal{l}=1,m_{\mathcal{l}}=-1,m_s=+1/2$

The correct order of increasing energy is

If the uncertainty in velocity and position of a minute particle in space are, 2.4 * 10^-26(ms^-1) and 10^-7(m) respectively. The mass of the particle in g is __________. 

(Given: h = 6.626 * 10^-34g)

Which of the following sets of quantum numbers is not allowed?

Given below are two statements. One is labeled as Assertion A  and the other is labeled as Reason R.

           Assertion A: Energy of 2s orbital of hydrogen atom is greater that that of 2s orbital of lithium.

           Reason R: Energies of the orbitals in the same subshell decrease with increase in the atomic.  

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

Given below are the quantum numbers for 4 electrons.

 A. $n=3,\mathcal{l}=2,m_{\mathcal{l}}=1,m_s=+1/2$                                

 B. $n=4,\mathcal{l}=1,m_{\mathcal{l}}=0,m_s=+1/2$                               

C. $n=4,\mathcal{l}=2,m_{\mathcal{l}}=-2,m_s=-1/2$  

D. $n=3,\mathcal{l}=1,m_{\mathcal{l}}=-1,m_s=+1/2$  

The correct order of increasing energy is

Among the following species

$N_2,N_2^{+},N_2^{-},N_2^{2-},O_2,O_2^{+},O_2^{-},O_2^{2-}$

The number of species showing diamagnesim is __________.

The minimum uncertainty in the speed of an electron in an one dimensional region of length 2a₀ (Where a₀ = Bohr radius 52.9 pm) is__________ km s^-1.

(Given: Mass of electron = 9.1 * 10^-31 kg, Planck's constant h = 6.63 * 10^-34 Js)

The longest wavelength of light that can be used for the ionization of lithium atom (Li) in its ground state is x * 10^-8m. The value of x is_________. (Nearest Integer)

The energy of one mole of photons of radiation of wavelength 300nm is (Given: h = 6.63 * 10³⁴ Js,N_A = 6.02 * 10²³ mol^-1 c = 3 * 10⁸ ms^-1)

Consider the following statements:

(A) The principal quantum number 'n' is a positive integer with values of 'n' = 1, 2, 3,….

(B) The azimuthal quantum number $\text{'}\mathcal{l}\text{'}$ for a given 'n' (principal quantum number) can have values as   $\text{'}\mathcal{l}\text{'}=0,1,2,...n$

(C) Magnetic orbital quantum number $\text{'}{m}_{\mathcal{l}}\text{'}$ for a particular $\text{'}\mathcal{l}\text{'}$ (azimuthal quantum number) has $\left(2\mathcal{l}+1\right)$  values.

(D)  $\pm 1/2$ are two possible orientations of electron spin.

(E) For $\mathcal{l}=5,$ there will be a total of 9 orbitals