List of top Questions asked in BITSAT- 2026

Using the standard electrode potential, find out the pair between which redox reaction is not feasible. \( E^{\ominus} \) values: \( \text{Fe}^{3+}/\text{Fe}^{2+} = +0.77\text{V} \); \( \text{I}_2/\text{I}^- = +0.54\text{V} \); \( \text{Cu}^{2+}/\text{Cu} = +0.34\text{V} \); \( \text{Ag}^+/\text{Ag} = +0.80\text{V} \).

Evaluate: \[ \int_0^1 x^3\ln(1+x)\,dx \]

If a real matrix \(A\) satisfies \[ A^T=A \quad \text{and} \quad A^2=I, \] then the eigenvalues of \(A\) must be:

The sum of the first \(20\) terms of an arithmetic progression is \(640\), and the difference between the \(15^\text{th}\) and \(5^\text{th}\) terms is \(30\). Find the first term of the A.P.

If \[ f(x)=\ln\left(\frac{\sin x}{1+\cos x}\right), \] then \(f'(x)\) is equal to:

Which of the following is an example of an intensive property?

In a galvanic cell, oxidation always occurs at:

For a first-order reaction \( A \rightarrow B \), the rate constant is \( 0.1 \text{ s}^{-1} \). What is the time required for \( 50\% \) completion?

Which of the following compounds exhibits the highest boiling point due to hydrogen bonding?

An ideal gas is compressed isothermally. During this process:

A ball is projected horizontally from the top of a tower with a velocity of \( 10 \text{ m/s} \). If it hits the ground \( 2 \text{ seconds} \) later, what is the height of the tower? (Take \( g = 10 \text{ m/s}^2 \))

A force of \( 20 \text{ N} \) is applied to a \( 5 \text{ kg} \) object at an angle of \( 60^{\circ} \) to the horizontal. What is the horizontal acceleration of the object, ignoring friction?

A particle moves along a straight line such that its position is given by \( x(t) = 3t^2 - t^3 \). What is its velocity at \( t = 2 \) seconds?

Evaluate the definite integral: \( \int_{0}^{\pi/2} \sin^2(x) \, dx \).

If \( z_1, z_2, \ldots, z_n \) are complex numbers such that \( |z_1| = |z_2| = \ldots = |z_n| = 1 \), then \( |z_1 + z_2 + \ldots + z_n| \) is equal to:

A person invites 10 friends to dinner and places them such that 4 are at one round table and 6 are at another round table. The total number of ways in which he can arrange the guests is:

Find the sum of the series \( \left(x + \frac{1}{x}\right)^2 + \left(x^2 + \frac{1}{x^2}\right)^2 + \left(x^3 + \frac{1}{x^3}\right)^2 + \cdots \) up to \( n \) terms.

The ionic radii in \AA of \( \text{N}^{3-} \), \( \text{O}^{2-} \), and \( \text{F}^- \) are respectively:

Electron affinity is positive, when:

The reaction \( A(g) \rightarrow P(g) + Q(g) + R(g) \) follows first-order kinetics with a half-life of \( 69.3 \) s at \( 500^{\circ}\text{C} \). Starting with pure \( A \) in a container at \( 500^{\circ}\text{C} \) and a pressure of \( 0.4 \) atm, what will be the total pressure of the system after \( 230 \) s?

A gas undergoes an adiabatic process. During this process:

A light ray enters a glass slab of refractive index \( \mu = 1.5 \) from air. What is the speed of light inside the glass slab? (Speed of light in air \( c = 3 \times 10^8 \text{ m/s} \))

Two charges \( q_1 \) and \( q_2 \) are placed at a distance \( r \). If the distance between them is doubled, the electrostatic force between them becomes:

A body of mass \( m \) is dropped from a height \( h \). What is its kinetic energy just before it hits the ground?

A pair of fair dice is thrown simultaneously. What is the probability that the sum of the numbers appearing on the top faces is at least 10?