List of practice Questions

What is the bond angle between Cl-O-Cl in Cl$_2$O$_7$?

A metal rod is in thermal contact with the two heat reservoirs both at constant temperature, one at 100K and the other at 200K. The rod conducts 1000 J of heat from the warmer to the colder reservoir. If no energy is exchanged with the surroundings, what is the total change of entropy?

When a sample of aluminium of unknown mass was subjected to 1.8 kJ of heat, the temperature of the aluminium sample increased from 26°C to 31°C. What was the mass of the sample? (specific heat of Al = 0.90 J/g°C)

100 g of O2 and 100 g of He(g) are in separate containers of equal volume. Both gases are at 100°C. Which one of the following statements is true?

The atomic radius of Ne is

Which of the following is used as a food preservative?

Which of the following statement is applicable for the Tyndall effect?

On reduction of glycolic acid with HI, the product formed is

Which of the following flux is used to remove acidic impurities in metallurgical processes?

A cell has been set up as shown in the following diagram and E$^0$ has been measured as 1.00V at 25°C. Calculate $\Delta$G$^0$ for the reaction.

Which of the following is the correct Lewis structure for the ionic compound Ca(ClO2)2?

For the reactions $C + O2 \rightarrow CO2$; $\, \Delta H = -393 \, \text{kJ} 2Zn + O2 \rightarrow 2ZnO$, $\, \Delta H = -412 \, \text{kJ}$ $\text{the correct statement is:}$

The decreasing order of reactivity towards electrophilic addition of the following is: I. CH = CH
II. CH_2 = CH_2
III. H_2C = CH - Cl

An aqueous solution of 2% (wt/wt) non-volatile solute exerts a pressure of 1.004 bar at the boiling point of the solvent. What is the molecular mass of the solute?

The value of \[ \lim_{x \to 0} \int_0^x \sec^2 t \, dt \] is:

The expression \[ \left| (a + 1)^2 \, (b + 1)^2 \, (c + 1)^2 \right| \] is equal to

For all $ n \in \mathbb{N}, 72n - 48n - 1 $ is divisible by

The inverse of matrix \[ \begin{pmatrix} 0 & 1 & -1 \\ 4 & -3 & 4 \\3 & -3 & 4 \end{pmatrix} \] is

The solution of the differential equation \[ \frac{d^2y}{dx^2} + 3y = -2x \] is

Let $x_1$ and $x_2$ be the roots of the equation $ax^2 + bx + c = 0$ ($ac \neq 0$). Find the value of $\frac{1}{x_1} + \frac{1}{x_2}$.

A line makes the same angle $\theta$ with each of the X and Z-axes. If the angle $\beta$ which it makes with Y-axis is such that $\sin^2 \beta = 3 \sin^2 \theta$, then $\cos^2 \theta$ equals

If the tangent at (1,1) on $ y^2 = x(2 - x^2) $ meets the curve again at P, then P is:

Choose the most appropriate options.
The degree of the differential equation \[ x = 1 + \frac{dy}{dx} + \frac{1}{2!} \left( \frac{d^2y}{dx^2} \right) + \frac{1}{3!} \left( \frac{d^3y}{dx^3} \right) + ... \]

Choose the most appropriate options.
If $ A(2,3) $ and $ B(-2,1) $ are two vertices of a triangle and the third vertex moves on the line $ 2x + 3y = 9 $, then the locus of the centroid of the new set of observations will be the triangle is

Consider line segments of lengths 1, 2, 3, ..., 10, what is the number of triangles that can be formed from them?