For a particular value of azimuthal quantum number, the total number of magnetic quantum number values are given by

• l = $\frac{\mathrm{m} + 1}{2}$

• l = $\frac{\mathrm{m} - 1}{2}$

• l = $\frac{2\mathrm{m} + 1}{2}$

• m = $\frac{2\mathrm{l} + 1}{2}$

What is the wavelength of an α-particle having mass 6.6 × 10^-27 kg moving with a speed of 10⁵ cms^-1? ( h = 6.6 × 10^-34 kgm² - s)?

• 2 × 10^-12 m

• 3 × 10^-10 m

• 1 × 10^-10 m

• 2 × 10^-10 m

How many unpaired electrons are present in Ni²⁺ cation? (Z = 28)

• 0

• 2

• 4

• 6

Which of the following has least covalent P-H bond?

• PH₃

• P₂H₆

• P₂H₅

• PH${}_6^{+}$

A compound on burning in air produces three oxides. Out of these one oxide turns lime water milky, the second one turned anhydrous CuSO₄ blue and third forms a solution of pH = 9. The compound is made up of

• S, N and H

• S, H and Na

• S and N

• S, C and H

An oxide of a non-metal has the following properties

(i) It acts both as proton donor as well as proton acceptor

(ii) It reacts readily with basic and acidic oxides

(iii) It oxidies Fe at its boiling point. The oxide maybe

• P₂O₅

• SiO₂

• H₂O

• CO₂

Which of the following ion is diamagnetic?

• Nd³⁺

• La³⁺

• Tb³⁺

• Er³⁺

An aqueous solution of titanium chloride, when subjected to magnetic measurement, show zero magnetic moment. The formula of complex in aqueous solution is

• [Ti(H₂O)₆]Cl₄

• [Ti(H₂O)₆]Cl₃

• [Ti(H₂O)₅Cl]Cl₂

• [Ti(H₂O)₆]Cl

For the reaction

N₂ (g) + 3H₂ (g) $\rightleftharpoons$ 2NH₃ (g) $∆$H is equal to

• $∆$E - 2RT

• $∆$E - RT

• $∆$E + RT

• $∆$E + 2RT

The conjugate base of NH${}_2^{-}$ is

• NH₃

• NH^2-

• NH${}_4^{+}$

• N${}_3^{-}$