List of practice Questions

Find number of ways of arranging 4 Boys \& 3 Girls such that all girls are not together :

Consider the following reaction:

What is the colour of the final compound B?

Choose the correct match.

Match the column:

} Match correct reagents with given reactions:

Arrange the following groups according to their decreasing order of electron withdrawing nature – \( \text{COOH} \), \( \text{CN} \), \( I \), and \( \text{NO}_2 \).

Statement-1: Maltose is a non-reducing sugar.

Statement-2: Lactose is a reducing sugar.

For the reaction
\[ \text{A} + \text{B} \rightleftharpoons \text{C}, \quad K_p = 2.7 \times 10^{-5} \] Calculate \( K_p \) for the reaction
\[ \frac{1}{3} \text{A} + \frac{1}{3} \text{B} \rightleftharpoons \frac{1}{3} \text{C} \]

Calculate the number of molecules and moles of \( \text{SO_2 \) in its 1.479 liters at STP.}

An ideal gas is placed in a container at \( (P_1, V_1, T_1) \) and another ideal gas is placed in a different container at \( (P_2, V_2, T_2) \) are mixed at final pressure of \( P \) and final volume of \( V \). Calculate the final temperature.

Statement-1: Heat capacity at constant volume is always greater than heat capacity at constant pressure.
Statement-2: At constant volume as work done is zero, heat given to the chaotic motion is reflected by increase in temperature.

Statement-1: Under certain conditions, the covalency of oxygen can be up to 4. In \( \text{SO}_2 \), the oxidation state of oxygen is \( -2 \) and in \( \text{OF}_2 \), the oxidation state of oxygen is \( +2 \). Statement-2: The anomalous behaviour of oxygen in the 16th group is due to its small size and high electronegativity.

Anion \( X^- \) contains 45 neutrons and 36 electrons. The atomic mass, period number, and state in which "X" exists is:

Two forces are acting on a body: \[ \vec{F}_1 = 3\hat{i} -5\hat{j} +2\hat{k} \] \[ \vec{F}_2 = 8\hat{i} +2\hat{j} -3\hat{k} \] The displacement of the body is \(25\,\text{m\) along the direction \(3\hat{i}-4\hat{j}\). Find the work done.}

Each diode in the circuit has \(10\Omega\) resistance in forward bias and infinite resistance in reverse bias. Find the time constant of the circuit. Given: \(R=100\Omega\), \(C=0.2\,\mu F\).

A particle is moving along the \(x\)-axis where the speed varies as \[ v^2 = 100 - x^2 \] Determine the time period.

The reaction follows 1st order reaction \( \text{R} \rightarrow \text{P} \) Find the fraction of molecules dissociated in time \( t \). \([k_1 = \text{Rate constant}]\)

In a screw gauge, when the circular scale is given five complete rotations, it moves linearly by \(2.5\,\text{mm\). If the circular scale has 100 divisions, the least count of the screw gauge is:}

There is a spiral which has \(r_i=3\,\text{cm\), \(r_{ext}=6\,\text{cm}\), \(I=20\,\text{mA}\) and \(N=200\), where \(r_i\) : internal radius \(r_{ext}\) : external radius \(N\) : number of turns \(I\) : current. Find the magnetic moment of the spiral.}

If the right plate of a parallel plate capacitor is pulled with constant velocity as shown in the figure, find how the rate of change of energy stored in the capacitor depends on the separation \(x\).