NEET (UG) 2025 Sample Questions

Consider a water tank shown in the figure. It has one wall at x = L and can be taken to be very wide in the z direction. When filled with a liquid of surface tension S and density ρ, the liquid surface makes angle θo (θo << 1) with the x-axis at x = L. If y(x) is the height of the surface then the equation for y(x) is:

• dy/dx = (g/S) * x^2

• dy/dx = (g/S) * y^2

• dy/dx = (g/S) * x

• dy/dx = (g/S)

A microscope has an objective of focal length 2 cm, eyepiece of focal length 4 cm and the tube length of 40 cm. If the distance of distinct vision of eye is 25 cm, the magnification in the microscope is

• 100

• 125

• 150

• 250

An electron (mass 9 × 10–31 kg and charge 1.6 ×10–19 C) moving with speed c/100 (c = speed of light) is injected into a magnetic field B of magnitude 9 × 10–4 T perpendicular to its direction of motion. We wish to apply an uniform electric E together with the magnetic field so that the electron does not deflect from its path. Then (speed of light c = 3 × 10^8 ms–1)

• E is perpendicular to B and its magnitude is 27 × 10^4 V m–1

• E is perpendicular to B and its magnitude is 27 × 10^2 V m–1

• E is parallel to B and its magnitude is 27 × 10^2 V m–1

• E is parallel to B and its magnitude is 27 × 10^4 V m–1

There are two inclined surfaces of equal length (L) and same angle of inclination 45º with the horizontal. One of them is rough and the other is perfectly smooth. A given body takes 2 times as much time to slide down on rough surface than on the smooth surface. The coefficient of kinetic friction (μk) between the object and the rough surface is close to

• 0.25

• 0.40

• 0.5

• 0.75

The kinetic energies of two similar cars A and B are 100 J and 225 J respectively. On applying breaks, car A stops after 1000 m and car B stops after 1500 m. If FA and FB are the forces applied by the breaks on cars A and B, respectively, then the ratio FA/FB is

• 3/2

• 2/3

• 1/3

• 1/2

The current passing through the battery in the given circuit is:

• 2.0 A

• 0.5 A

• 2.5 A

• 1.5 A

A bob of heavy mass m is suspended by a light string of length l. The bob is given a horizontal velocity v0 as shown in figure. If the string gets slack at some point P making an angle θ from the horizontal, the ratio of the speed v of the bob at point P to its initial speed v0 is:

• 1/2 sin θ

• 1/2 (1 + 2 sin θ)

• 1/2 cos (2 + 3 sin θ)

• 1/2 sin (2 + 3 sin θ)

The output (Y) of the given logic implementation is similar to the output of an/a _______gate.

• AND

• NAND

• OR

• NOR

The electric field in a plane electromagnetic wave is given by Ez = 60 cos (5x + 1.5 ×10^9 t)V/m. Then expression for the corresponding magnetic field is (here subscripts denote the direction of the field):

• By = 2 × 10–7 cos (5x + 1.5 × 10^9 t)T

• Bx = 2 × 10–7 cos (5x + 1.5 × 10^9 t)T

• Bz = 60cos (5x + 1.5 × 10^9 t)T

• By = 60sin (5x + 1.5 × 10^9 t)T

A ball of mass 0.5 kg is dropped from a height of 40 m. The ball hits the ground and rises to a height of 10 m. The impulse imparted to the ball during its collision with the ground is (Take g = 9.8 m/s²)

• 21 Ns

• 7 Ns

• 0

• 84 Ns