List of practice Questions

How many of the following ligands are stronger than H₂O? \[ {S}^{2-}, \, {Br}^-, \, {C}_2{O}_4^{2-}, \, {CN}^-, \, {en}, \, {NH}_3, \, {CO}, \, {OH}^- \]

The common monomer for both Terylene and Glyptal is

Which of the following structure of proteins represents its constitution?

Match the following

At \( 27^\circ C \), the degree of dissociation of weak acid (HA) in its 0.5M aqueous solution is 1%. Its \( K_a \) value is approximately:

From the following, identify the groups that exhibit negative resonance (-R) effect when attached to a conjugated system: \[ \text{Formyl (A), Amino (B), Alkoxy (C), Cyano (D), Nitro (E)} \]

The major products X and Y respectively from the following reactions are

An isomer of C₆H₁₂ on reaction with Br₂/ light gave only one isomer C₆H₁₁Br (X). Reaction of X with AgNO₃ gave Y as the major product. What is Y?

What are the major products X and Y respectively in the following reactions? \[ {(CH}_3{)}_3{COONa} + {CH}_2 {CH} {Br} \rightarrow X \] \[ {(CH}_3{)}_3{COCH}_2 {CH}_3 + {CH}_3{COO}{Na} \rightarrow Y \]

Match the following reagents with the products obtained when they react with a ketone:

What are X and Y respectively in the following reactions?

If the maximum and minimum voltages of an A.M wave are \( V_{\max} \) and \( V_{\min} \) respectively, then the modulation factor ‘m’ is

Arrange the following in decreasing order of their basicity:

The domain of the real-valued function \( f(x) = \sqrt{9 - \sqrt{x^2 - 144}} \) is

If set A has 5 elements, and set B has 7 elements, then the number of one-one functions that can be defined from A to B is

Find the sum of the sequence: \( 2 + 3 + 5 + 6 + 8 + 9 + \dots + 2n \) terms.

If the system of equations has a unique solution, find the values of \( a \) and \( b \).

If \( A = \begin{bmatrix} a & 1 & 2 \\ 1 & b & 3 \\ c & 1 & 3 \end{bmatrix} \) and \( \text{Adj } A = \begin{bmatrix} 7 & -1 & -5 \\ -3 & 9 & 5 \\ 1 & -3 & 5 \end{bmatrix} \), then \( a^2 + b^2 + c^2 = \) ?

The locus of the complex number \( Z \) satisfying \( \arg \left( \frac{Z - 1}{Z + 1} \right) = \frac{\pi}{4} \) is:

A coil has resistance 20 Ω and inductance 0.35 H. Compute its impedance to an alternating current of 25 cycles/s.

A 3 kg block is connected as shown in the figure. Spring constants of two springs \( K_1 \) and \( K_2 \) are 50 Nm\(^{-1}\) and 150 Nm\(^{-1}\) respectively. The block is released from rest with the springs unstretched. The acceleration of the block in its lowest position is ( \( g = 10 \) ms\(^{-2}\) )

In a time of 2 s, the amplitude of a damped oscillator becomes \( \frac{1}{e} \) times its initial amplitude \( A \). In the next two seconds, the amplitude of the oscillator is:

The moment of inertia of a solid sphere of mass 20 kg and diameter 20 cm about the tangent to the sphere is:

A wooden plank of mass 90 kg and length 3.3 m is floating on still water. A girl of mass 20 kg walks from one end to the other end of the plank. The distance through which the plank moves is

A particle is executing simple harmonic motion with a time period of 3 s. At a position where the displacement of the particle is 60% of its amplitude, the ratio of the kinetic and potential energies of the particle is: