List of top Questions asked in BITSAT- 2026

If \( |z_1| = 2 \), \( |z_2| = 3 \), \( |z_3| = 4 \) and \( |2z_1 + 3z_2 + 4z_3| = 4 \), then absolute value of \( 8z_2 z_3 + 27z_3 z_1 + 64z_1 z_2 \) equals

The domain of the function \(f(x) = \sqrt{x - \sqrt{1 - x^2\) is:}

The point of inflexion for the curve \(y = (x - a)^n\), where \(n\) is an odd integer and \(n \ge 3\) is:

If \(y^x = e^{y - x}\), then \(\frac{dy}{dx}\) is equal to:

Ionisation energy of H-atom is \(13.6 \text{ eV}\). The wavelength of the spectral line emitted when an electron in \(\text{Be}^{3+}\) comes from \(5^{\text{th}}\) energy level to \(2^{\text{nd}}\) energy level is:

\(10 \text{ g}\) each of \(\text{CH}_4\) and \(\text{O}_2\) are kept in cylinders of same volume under same temperature, give the pressure ratio of two gases:

In a cyclic \(pV\) process forming a square loop from \((p = 1 \text{ atm}, V = 2\text{L})\) to \((p = 3 \text{ atm}, V = 4\text{L})\), then, the net heat absorbed by the gas is:

The temperature in K at which \(\Delta G = 0\), for a given reaction with \(\Delta H = -20.5 \text{ kJ mol}^{-1}\) and \(\Delta S = -50.0 \text{ J K}^{-1} \text{ mol}^{-1}\) is:

The value of \(\lim_{n \rightarrow \infty} \prod_{r=3}^{n} \frac{r^3 - 8}{r^3 + 8}\) equals to:

A fundamental harmonic standing wave is generated in a string fixed at both ends. If the tension in the string is increased by \(21\%\), the percentage change in the fundamental frequency will be:

An ideal gas heat engine operates in a Carnot cycle between \(227^\circ\text{C}\) and \(127^\circ\text{C}\). It absorbs \(6 \times 10^4 \text{ cal}\) of heat at the higher temperature. The amount of heat converted into work is:

If \(\vec{a} = 2\hat{i} + \hat{j} + 2\hat{k}\), then the value of \(|\hat{i} \times (\vec{a} \times \hat{i})|^2 + |\hat{j \times (\vec{a} \times \hat{j})|^2 + |\hat{k} \times (\vec{a} \times \hat{k})|^2\) is equal to:}

The line \(y = mx\) bisects the area enclosed by the lines \(x = 0\), \(y = 0\), \(x = \frac{3}{2}\) and the curve \(y = 1 + 4x - x^2\). Then, the value of \(m\) is:

The root mean square (rms) speed of the molecules of an ideal gas at a given temperature \(T\) is \(v\). If the temperature is increased to \(4T\) and the gas dissociates into atoms, the new rms speed becomes:

The degeneracy of a hydrogen atom whose energy equals \(-R_H/16\) is:

If the de-Broglie wavelength of a particle of mass (\(m\)) is \(100\) times its velocity, then its value in terms of its mass (\(m\)) and Planck's constant (\(h\)) is:

The density (in g mL\(^{-1}\)) of a \(3.60 \text{ M}\) sulphuric acid solution that is \(29\%\) \(\text{H}_2\text{SO}_4\) (molar mass \(= 98 \text{ g mol}^{-1}\)) by mass will be:

The probability that a certain electronic component fails when first used is \(0.10\). If it does not fail immediately, the probability that it lasts for one year is \(0.99\). The probability that a new component will last for one year is:

The shortest distance between the lines \[ x = y + 2 = 6z - 6 \] and \[ x + 1 = 2y = -12z \] is:

If \(20 \text{ g}\) of \(\text{CaCO}_3\) is treated with \(100 \text{ mL}\) of \(20\%\) \(\text{HCl}\) solution, the amount of \(\text{CO}_2\) produced is:

The escape velocity from the earth is \(v_e\). If an object is now launched from the center of Earth where a tunnel has been dug, the escape velocity from that position is:

The ratio of the radii of gyration of a hollow cone and a hollow cylinder of the same mass and radius about a tangential axis parallel to their central axis is:

A particle moves under the action of a variable force \(F = (3x^2 - 2x + 5)\) in Newtons from \(x = 0\) to \(x = 2\) meters. The work done by the force is:

A projectile is fired from the surface of the earth with a velocity of \(v_0\) at an angle \(\theta\) with the horizontal. If the maximum height reached is equal to its horizontal range, then the angle of projection \(\theta\) is given by:

A block is placed on a wedge with coefficient of friction \(\mu = 0.5\). The wedge is accelerated horizontally towards the block. What is the minimum acceleration required so that the block does not slide down the wedge?