List of practice Questions

A value of \( \theta \) lying between \( 0 \) and \( \dfrac{\pi}{2} \) and satisfying \[ \begin{vmatrix} 1 + \sin^2 \theta & \cos^2 \theta & 4\sin 4\theta \\ \sin^2 \theta & 1 + \cos^2 \theta & 4\sin 4\theta \\ \sin^2 \theta & \cos^2 \theta & 1 + 4\sin 4\theta \end{vmatrix} = 0 \] is:

Which of the following represents nucleoside of RNA?

Observe the following (Products = .........):
P₄ + SOCl₂ → Products
P₄ + SO₂Cl₂ → Products
In both the reactions, a common product 'X' is obtained. The number of lone pair of electrons on the central atom of 'X' is:

The IUPAC name of the complex shown below is:
K₃[Co(COₓ)₃]

Which one of the statements regarding X is not correct?
3-Hydroxybutanoic acid → 3-Hydroxypentanoic acid → X X is:

Identify the essential amino acids from the following:
A) Leucine
B) Tyrosine
C) Cysteine
D) Histidine

The following graph is obtained for a first-order reaction (A → P). The activation energy (E\(_a\) in kJ/mol\(^{-1}\)) and heat of reaction (ΔH in kJ/mol\(^{-1}\)) for this reaction are respectively

Identify the correct statements from the following:
A) Among alkali metal ions, Li⁺ has the highest hydration enthalpy.
B) Boiling point of alkali metals increases from Li to Cs.
C) Density of K is less than that of Na and Rb.
D) Li has strong tendency to form superoxide.

Identify the correct statements from the following:
I) CO reduces the oxygen carrying ability of blood.
II) Producer gas contains CO and N₂.
III) C-O bond length in CO₂ is 115 pm.

The correct equation for one mole of a real gas is (a, b are constants)

The mass of a mixture containing NaCl and NaBr is 4.0 g. If Na is 20% of the total mixture, the composition of NaCl in the mixture is

For the following given equilibrium reaction, K\(_p\) is equal to 1076 at T(K). What is the value of T (in K)? \[ \text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) \] Given that \( R = 0.082 \, \text{L atm K}^{-1} \text{mol}^{-1} \), \( K_p = 1076 \), the equation is: \[ K_p = 1076, \, R = 0.082 \, \text{L atm K}^{-1} \text{mol}^{-1} \]

In a common emitter transistor amplifier the resistance of collector is 3 kΩ. If the current amplification factor is 100 and the base resistance is 2 kΩ, then the power gain of the transistor is

The layer of the atmosphere that reflects low frequency (LF) electromagnetic waves during daytime only is

a, b, c, d are electromagnetic radiations. Frequencies of a, b, c are $3 \times 10^{15$ Hz, respectively, whereas the wavelength of c, d are 400 nm, 750 nm, respectively. The increasing order of their energies is}

The number of electrons with magnetic quantum number $m = 0$ in the elements with atomic numbers $Z = 24$ and $Z = 29$ are respectively

Which of the following orders is not correct for the given property?