List of practice Questions

De Broglie wavelength of a quantum photon having energy \( E \)?
Work done on splitting a spherical drop into 8 droplets?
The fundamental frequency of a string of length \( l \) is \( n \). The string is cut into 3 parts \( l_1, l_2, \) and \( l_3 \), each having fundamental frequency \( n_1, n_2, n_3 \). Then, what is the relationship between \( n_1, n_2, n_3 \)?
Tension of a rope when a man of mass \( m \) climbs up or down with an acceleration \( a<g \)?
Which of the following has the highest \( K_b \) value?
What technique is used to separate chloroform from aniline?
What is the IUPAC name of phenyl isopentylether?
The disease is caused by a deficiency of riboflavin.
In which of the following cases does manganese have a +7 oxidation state?
A body of mass 0.8kg moves with velocity \( v = 2x^2 + 2 \, \text{m/s} \). What is the work done during its motion from \( x = 0 \) to \( x = 2 \, \text{m} \)?
Arrange in the order of dipole moment: \[ \text{NH}_3, \, \text{NF}_3, \, \text{H}_2\text{S}, \, \text{CHCl}_2 \]
Arrange in the order of conductivity: \[ \text{Na, Ag, Fe, Cu} \]
Find the pH of the solution if \( [\text{H}^+] = 2 \times 10^{-4} \, \text{mol/L} \).
Which among the following acts as a Lewis acid? \[ A) \text{AlCl}_3, \quad B) \text{NH}_3, \quad C) \text{OH}^-, \quad D) \text{H}_2\text{O} \]
When toluene is treated with chromium oxide and acetic anhydride, followed by hydrolysis, what is the product formed?
Layer's test is used for what purpose?
The reaction shown is: \[ \text{Phenol} + \text{CHCl}_3 + \text{NaOH} \rightarrow \text{Salicylaldehyde} \] What is the name of the above reaction?
If the half-life of \( D \) is 1500 years and \( B \) is 2000 years, what is the mean lifetime?
Common oxidation state of Cr?
What is the formula of lanthanoids with sulfur?
Among the following, which one is incorrect? \[ \text{BrF}_5 \rightarrow \text{Trigonal bipyramidal}, \quad \text{SF}_4 \rightarrow \text{See saw}, \quad \text{NH}_3 \rightarrow \text{Pyramidal}, \quad \text{XeF}_4 \rightarrow \text{Square planar} \]
Which among the following has the highest molar elevation constant?
Find the rate constant at 310K if the initial concentration is 0.72 mol L$^{-1}$ and the final concentration is 1.44 mol L$^{-1}$ at 10 minutes.
The cubic polynomial \( 2x^3 - 3x^2 - 36x + 28 \) is increasing in the range of \( x \). Find the interval where the function is increasing.
If \( \cot^{-1} \left( \frac{\sqrt{1 - x}}{\sqrt{1 + x}} \right) \), then find \( \sec^2 \theta \).