List of top Questions asked in BITSAT- 2025

A convex lens has focal length 20 cm. An object is placed at a distance of 40 cm from the lens. What is the position of the image formed?
Maximize \( z = 3x + 4y \) subject to \( x + y \leq 4 \), \( x \geq 0 \), \( y \geq 0 \). What is the maximum value of \( z \)?
Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?
A simple pendulum of length 1 m is oscillating with an amplitude of 0.1 m. What is the maximum tension in the string if the mass of the bob is 0.2 kg? (Assume \( g = 10 \, \text{m/s}^2 \))
Evaluate the integral \( \int \frac{x}{x^2 + 1} dx \):
If $ x + \frac{1}{x} = 4 $, find the value of $ x^4 + \frac{1}{x^4} $.
If the word "BITS" is coded using \( A=1, B=2, \ldots, Z=26 \), and the code is the sum of the squares of each letter's value, what is the code for the word?

Which of the following is the correct electronic configuration for \( \text{Oxygen (O)} \)?

A bag contains 5 red, 3 blue, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both are red?
A block of mass 5 kg is placed on a frictionless incline of angle $30^\circ$. What is the acceleration of the block down the incline? (Take $g = 9.8\, m/s^2$)
Choose the word most opposite in meaning to "Candid":
Calculate the electric field at a point due to a uniformly charged spherical shell.
Calculate the de Broglie wavelength of an electron moving with a given velocity.
How many grams of $ \mathrm{Al_2(SO_4)_3} $ are required to produce 10 L of a 0.5 M solution? (Molar mass = 342 g/mol)
What is the unit of electric field?
A car accelerates from rest to a speed of 20 m/s in 10 seconds. What is its acceleration?
Which of the following is an example of a scalar quantity?
A coil of resistance 10 \( \Omega \) is connected to a battery of 12 V. If the current flowing through the coil is 2 A, what is the power dissipated in the coil?
A capacitor of capacitance 5 \(\mu\)F is charged to 100 V and then connected to an uncharged capacitor of 2 \(\mu\)F. What is the final potential difference across the capacitors?
A block of mass 2 kg slides on a frictionless horizontal surface with a velocity of 3 m/s. It collides elastically with another block of mass 3 kg initially at rest. What is the velocity of the 2 kg block after the collision?
The number of moles of CO$_2$ produced when 2 moles of C$_2$H$_6$ are completely burnt is:
The work function of a metal is 2 eV. What is the threshold frequency for the photoelectric emission? (Take Planck's constant $ h = 6.63 \times 10^{-34} \, \text{Js} $, $ 1 \, \text{eV} = 1.6 \times 10^{-19} \, \text{J} $)
The area of a triangle with vertices at points $ A(1,2) $, $ B(4,6) $, and $ C(k, 8) $ is 5. Find the value of $ k $.
What is the pH of a 0.01 M solution of HCl?
The equation of a straight line is given by \( y = 3x + 4 \). What is the slope of the line?