List of practice Questions

Thinking, Fast and Slow was written by the famous Nobel Laureate ___.

Who is the current executive chairman of LinkedIn?

For \(\vec{F}=(x+y)\hat{i}+(x+y)\hat{j}\) the value of \(\oint\vec{F}.d\vec{r}\) along the path shown in the figure is ________. Give your answer as an integer.

At \( T(K) \), in a closed vessel, a gas obeying the kinetic theory of gases has two molecules. The kinetic energy of these molecules is \( x_1 \) J and \( x_2 \) J respectively. After a few collisions, their kinetic energy is \( y_1 \) J and \( y_2 \) J respectively. Identify the correct relationship/s:

(1) \( x_1 = y_1 \)

(2) \( \frac{x_1 + x_2}{2} = \frac{y_1 + y_2}{2} \)

(3) \( x_2 = y_2 \)

(4) \( (x_1 - x_2)^2 = (y_1 - y_2)^2 \)

If \( a_1 = 3 \) and \( a_n = n \cdot a_{n-1} \), for \( n \geq 2 \), then \( a_6 \) is equal to

If \( 2z = 7 + i\sqrt{3} \), then the value of \( z^2 - 7z + 4 \) is:

Identify the sets of species having the same bond order:
(i) \( {F}_2, {O}_2^{2-} \)
(ii) CO, NO\(^{+}\)
(iii) \(N_2\), \(O_2\)
(iv) \(H_2\), \(B_2\)
The correct option is:

Given below are two statements:
Statement I: Diamagnetic \(li_2\) molecules are known to exist in the vapour phase.
Statement II: According to MO theory, double bond in \(C_2\) consists of both \( \pi \) bonds. The correct option is:

A spectral line in the hydrogen spectrum is due to an electron transition between energy levels whose sum and difference are respectively 5 and 3. The wavelength of it (in cm) is:

Identify the correct statements about group 14 elements:
I. Sn in +2 state is a reducing agent and Pb in +4 state is a strong oxidising agent.
II. Thermodynamically most stable allotrope of carbon is diamond.
III. SiCl\(_4\) on hydrolysis gives silicic acid.
IV. Sn has a higher melting point than Pb.

40 mL of 0.2 M \( \mathrm{CH_3COOH} \) is titrated with 0.2 M NaOH solution. How many mL of NaOH should be added to form a buffer solution with maximum buffer capacity?

At T(K), 3 moles of ethyl alcohol is mixed with 3 moles of acetic acid in a 1L vessel. At equilibrium, 2 moles of ester are formed. Calculate the equilibrium constant for the reaction.

[Ni(H\(_2\)O)\(_4\)]\(^{2+}\) on reaction with ethane-1,2-diamine forms violet color complex. Its formula and magnetic property respectively are

Identify which of the following is not considered as ‘Normal Resident’ of India?

Which of the following is not correct about the adsorption?

A \(\rightarrow\) P is a first-order reaction. At 27°C, the time taken for the completion of 20% of the reaction is \( t_1 \) min. The time taken for the completion of 80% of the reaction is \( t_2 \) min at the same temperature. What is the value of \( \frac{t_2}{t_1} \)?

At 27 °C, the pH of 1 L of aqueous copper sulfate is 5.5. This solution was electrolyzed using two Pt electrodes for some time. What is the pH of remaining copper sulfate solution?

The molar depression constant of water (\(K_f\)) is 1.86 K kg mol\(^{-1}\). What is the approximate \( \Delta H_{fus} \) (in kJ mol\(^{-1}\)) of water if it freezes at 273 K?

Cumene on oxidation in the presence of air gives a compound X. This in the presence of dilute acid gives Y and Z. The total number of \( sp^2 \) carbons in Y and Z is:

What are X, Y and Z in the given reaction sequence?

Which of the following represents double stranded helix structure of DNA?

Which of the following polymer used in the manufacture of paints and lacquers?

Four identical cells, each with internal resistance 1 \(\Omega\) and emf 10 V are connected in series to a resistance R and they are connected in parallel and then to an external resistance R in series. For what value of R the current in series and in parallel combination is the same?

The Wheatstone bridge is balanced when \(R_3 = 144 \, \Omega\). If \(R_2\) and \(R_1\) are interchanged, the bridge balances for \(R_3 = 169 \, \Omega\). The value of \(R_4\) is:

What is the maximum strength of Rajya Sabha?