List of practice Questions

The differential equation \( (3x + 4y + 1) dx + (4x + 5y + 1) dy = 0 \) represents a family of

If \( \Delta r = \left| \sum_{r=1}^{n} r \right| \), then \( \sum_{r=1}^{n} \Delta r \) is equal to

If \( A, B, C \) are three events associated with a random experiment, then \( P(A \,|\, B) \) is

If \( A = \begin{pmatrix} 1 & 2
3 & 1 \end{pmatrix} \), then rank \( A \) is

The probability of getting a double six in one throw of two dice

The rate constant of the reaction \( A \rightarrow B \) at different times are given below: \[ \text{Concentration (M)} \quad \text{Time (Minutes)}
0.069 \quad 0 \quad 0.052 \quad 17 \quad 0.035 \quad 34 \quad 0.018 \quad 51 \] The rate constant of the reaction according to the correct order of reaction is

If the complex number \( z \) lies on a circle with center at the origin and radius \( \frac{1}{4} \), then the complex number \( 1 + z \) lies on a circle with radius

A compound which gives a negative test with ninhydrin, it cannot be a protein or an amino acid. As, it gives a positive test with Benedict’s solution. The compound is

The compound used for making super glue or crazy glue is

\( X' \) and \( Y' \) respectively are

In the Cannizzaro reaction given below: \[ 2Ph - CHO \xrightarrow{\text{NaOH}} Ph - CH_2OH + Ph - CO_2 \] the slowest step is

The reaction of 1-bromo-3-chlorocyclobutane with metallic sodium in dioxane under reflux conditions gives

Identify \( Z \) in the following reaction sequence \[ CH_3CH_2CH_2OH \xrightarrow{H_2SO_4, 160^\circ C} CH_3CH_2CH = CH_2 \xrightarrow{NaNH_2} Z \]

Which of the following reactions is used to prepare isobutane?

The concentrations of the reactant A in the reaction \( A \rightarrow B \) at different times are given below Concentration (M) \quad Time (Minutes) \[ 0.069 \quad 0 \quad 0.052 \quad 17 \quad 0.035 \quad 34 \quad 0.018 \quad 51 \] The rate constant of the reaction according to the correct order of reaction is

The ratio of slopes of \( K_{\text{max}} \) vs \( V \) and \( V_0 \) vs \( v \) curves in the photoelectric effect gives

With excess of water, both \( P_2O_5 \) and \( PCl_5 \) give

The dissolution of \( Al(OH)_3 \) by a solution of NaOH results in the formation of

Which of the following does not exist?

If the ionisation energy and electron affinity of an element are 275 and 86 kcal/mol respectively, then the electronegativity of the element on the Mulliken scale is

For the preparation of paracetamol

Point out incorrect stability order

Consider the following changes: \[ M(s) \xrightarrow{} M(g) \quad (1)
M(g) \xrightarrow{} M^{2+}(g) + 2e^- \quad (2)
M(g) \xrightarrow{} M^+(g) + e^- \quad (3)
M^+(g) \xrightarrow{} M^{2+}(g) + e^- \quad (4) \] The second ionisation energy of \( M \) could be determined from the energy values associated with

In benzene, the triple bond consists of

In keto-enol tautomerism of dicarbonyl compounds, the enol-form is preferred in contrast to the keto-form, this is due to