List of practice Questions

Which one of the following will give a positive result when it is warmed with Chloroform and alcoholic solution of KOH?
The conversion of Propyne to Benzene can be brought out in 4 steps.
Choose the reagents to be used, in the proper sequential order, to bring out the conversion.
Para and ortho hydrogen differ in:

Identify the reagents X, Y and Z used to bring out the following reactions.

A proton having mass equal to \(1.66 \times 10^{-27}\) kg is accelerated to one tenth of the velocity of light. If its velocity can be measured to an accuracy of \(\pm 2%\), what would be the uncertainty in its position?
From among the following, identify the compound which forms two moles of a ketone on ozonolysis.
If electrolysis of water is carried out for a time duration of 2 hours, how much electric current in amperes would be required to liberate 100 ml of O\(_2\) gas measured under standard conditions of temperature and pressure?

For a reaction of the type, \( 2X + Y \rightarrow A + B \), the following is the data collected:

Select the strongest base from the given compounds:
Which one of the following compounds would not undergo Aldol condensation?

Match the following characteristics of transition metals given in Column I with the examples listed in Column II:

Gaseous Nitrous oxide decomposes at 298 K to form Nitrogen gas and Oxygen gas. The \(\Delta H \text{ for the reaction at 1.0 atm pressure and 298 K is } \)-163.15 \(\text{ kJ}\). Calculate Internal energy change for the decomposition of 100 g of Nitrous oxide gas under the same conditions of temperature and pressure.
In neutral medium KMnO$_4$ oxidises MnSO$_4$ to __________
The range of \( x \) which satisfy the inequality \[ -5 \leq \frac{2 - 3x}{4} \leq 9 \] is
Evaluate the integral \[ \int \frac{\cos 4x + 1}{\cot x - \tan x} \, dx \]
Let \( x \) be the arithmetic mean and \( y, z \) be the two geometric means between any two positive numbers, then \[ \frac{y^3 + z^3}{x y z} = \text{----------} \]
Identify the starting compound from the following data: \[ C_6H_{14}O(X) \text{ on reaction with HI yields a haloalkane (A) and an alcohol (B).} \] Compound (A) on reaction with aqueous NaOH gives an alcohol (C). Compounds (B) and (C) on reaction with CrO\(_3\) in anhydrous medium yields Butanone and Ethanal respectively.
5.8 g of a gas maintained at 95\(^\circ C\) occupies the same volume as 0.368 g of hydrogen gas maintained at a temperature of 17\(^\circ C\) and pressure being the same atmospheric pressure for both the gases. What is the molecular mass of the unknown gas?
A first order reaction proceeds to 90% completion. What will be the approximate time taken for 90% completion in relation to \(t_{1/2}\) of the reaction?
The value of \[ \sin^{-1} \left[ \cos \left( \frac{39\pi}{5} \right) \right] \] is
The probability distribution of a discrete random variable \( X \) is given as \[ \begin{array}{|c|c|c|c|c|c|} \hline X & 1 & 2 & 4 & 2A & 3A & 5A \\ \hline P(X) & \frac{1}{2} & \frac{1}{5} & \frac{3}{25} & K & \frac{1}{25} & \frac{1}{25} \\ \hline \end{array} \] Then the value of \( A \) if \( E(X) = 2.94 \) is
18 Points are indicated on the perimeter of a triangle ABC as shown below. If three points are chosen then probability that it will form a triangle is
If \( \vec{a} \) and \( \vec{b} \) are unit vectors, then the angle between \( \vec{a} \) and \( \vec{b} \) for which \( \vec{a} - \vec{b} = 0 \)
If the volume of a sphere is increasing at a constant rate, then the rate at which its radius is increasing is
What can be said regarding a line if its slope is negative?