List of practice Questions

The Enthalpy of combustion of C$_6$H$_6$COOH(s) at 25$^\circ$C and 1.0 atm pressure is -2546 kJ/mol. What is the Internal energy change for this reaction?

If $ 2 $ is a solution of the inequality $ \frac{x-a}{a-2x}<-3 $, then $ a $ must lie in the interval:

The centre of a square is at the origin of the complex plane. If one of the vertices is at $ -3i $, then the area of the square is:

Number of integers greater than 7000 can be formed using the digits 2, 4, 5, 7, 8 is (Repetition of digits is not allowed):

P, Q, R, S, T, U, and V are sitting around a circular table facing the center. S is not a neighbor of R and T. P is the neighbor of Q and R. V, who is second to the left of S, is the neighbor of T and U. Which of the following is not true?

Simplify the following expression: $ \frac{2^{n+5} - 4 \cdot 2^{n}}{2 \cdot (2^{n+4})} $.

What is the quantity of current required to liberate 16g of O$_2$ (g) during electrolysis of water? (Given 1F = 96500C)

The coordinates of the vertex of the parabola \[ y = 2x^2 - 12x + 26 \] are

If $2 \tan^2 \theta - 4 \sec \theta + 3 = 0$, then $2 \sec \theta$ is:

Two particles of charges 4 nC and $ Q $ are kept in air with a separation of 10 cm between them. If the electrostatic potential energy of the system is 1.8 μJ, then $ Q $ is:

A light ray passing along the principal axis of a lens is

If the ratio of lengths, radii and Young's Moduli of steel and brass wires in the figure are $ a $, $ b $, and $ c $ respectively, then the corresponding ratio of increase in their lengths would be:

A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage (U) as $ \epsilon = 2U $. A similar capacitor with no dielectric is charged to $ U_0 = 78 \, \text{V} $. It is then connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

Which of the following equation represents the situation where Kiran bought 5 oranges, 7 apples, and Harish bought 2 oranges, 12 apples for the same amount of total money?

If $\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$, where $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ are two linear equations, then the equations

There are exactly _________________________ tangents to a circle through a point outside the circle.

If $AP$ and $AQ$ are the two tangents to a circle with center $O$, such that $\angle POQ = 110^\circ$, then $\angle PAQ =$:

If a right circular cylinder has base radius 14 cm and height 21 cm, then its curved surface area is:

If a cylinder and a cone have bases of equal radii and are of equal heights, then their volumes are in the ratio of:

The value of $\sin^2 15^\circ + \cos^2 15^\circ$ is:

A convex lens kept in a medium with refractive index less than the refractive index of the lens behaves like

The formula for refractive index of a prism is

The least distance of distinct vision of a healthy person is

The process of an eye lens to adjust its focal length to form a sharp image on retina is called

The appearance of red colour of the Sun during Sunrise and Sunset is due to