NEET Physics Important & Repeated Questions 2027

A balloon is made of a material of surface tension S and its inflation outlet (from where gas is filled in it) has small area A. It is filled with a gas of density rho and takes a spherical shape of radius R. When the gas is allowed to flow freely out of it, its radius r changes from R to 0 (zero) in time T. If the speed v(r) of gas coming out of the balloon depends on r as r^a and T is proportional to S^alpha A^beta rho^gamma R^delta, then (1) a = 1/2, alpha = 1/2, beta = -1, gamma = +1, delta = 3/2 (2) a = -1/2, alpha = -1/2, beta = -1, gamma = -1/2, delta = 5/2 (3) a = -1/2, alpha = 1/2, beta = -1, gamma = 1/2, delta = 7/2 (4) a = 1/2, alpha = 1/2, beta = -1, gamma = 1/2, delta = 7/2

A physical quantity P is related to four observations a, b, c and d as follows: P = a³ b² / (c sqrt(d)). The percentage errors of measurement in a, b, c and d are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity P is (1) 10% (2) 2% (3) 13% (4) 15%

The quantities which have the same dimensions as those of solid angle are: (1) angular speed and stress (2) strain and angle (3) stress and angle (4) strain and arc

The displacement-time graphs of two moving particles make angles of 30 degrees and 45 degrees with the x-axis as shown in the figure. The ratio of their respective velocity is : (1) 1 : sqrt(3) (2) sqrt(3) : 1 (3) 1 : 1 (4) 1 : 2

A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity 4 m s^-1. The ball strikes the water surface after 4 s. The height of bridge above water surface is (Take g = 10 m s^-2) : (1) 68 m (2) 56 m (3) 60 m (4) 64 m

A bullet is fired from a gun at the speed of 280 m s^-1 in the direction 30 degrees above the horizontal. The maximum height attained by the bullet is (g = 9.8 m s^-2, sin 30 degrees = 0.5) : (1) 3000 m (2) 2800 m (3) 2000 m (4) 1000 m

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) (1) 21 NS (2) 7 NS (3) 0 (4) 84 NS

There are two inclined surfaces of equal length (L) and same angle of inclination 45 degrees 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 (mu_k) between the object and the rough surface is close to (1) 0.25 (2) 0.40 (3) 0.5 (4) 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 F_A and F_B are the forces applied by the breaks on cars A and B, respectively, then the ratio F_A/F_B is (1) 3/2 (2) 2/3 (3) 1/3 (4) 1/2

At any instant of time t, the displacement of any particle is given by 2t - 1 (SI unit) under the influence of force of 5N. The value of instantaneous power is (in SI unit): (1) 6 (2) 10 (3) 5 (4) 7

A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is: (1) 7/8 (2) 7/40 (3) 7/57 (4) 7/64

The angular acceleration of a body, moving along the circumference of a circle, is : (1) along the axis of rotation (2) along the radius, away from centre (3) along the radius towards the centre (4) along the tangent to its position

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is: (1) 16 N (2) 27 N (3) 32 N (4) 36 N

The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 year on Mercury? (1) 88 earth days (2) 225 earth days (3) 172 earth days (4) 124 earth days

The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are 8 x 10⁸ N m^-2 and 2 x 10¹¹ N m^-2, is: (1) 8 mm (2) 4 mm (3) 0.4 mm (4) 40 mm

A thin flat circular disc of radius 4.5 cm is placed gently over the surface of water. If surface tension of water is 0.07 Nm^-1, then the excess force required to take it away from the surface is: (1) 99 N (2) 19.8 mN (3) 198 N (4) 1.98 mN

Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius r_A and r_B, respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas A and B are displaced by 16 cm and 9 cm, respectively. If the change in their internal energy is the same, then the ratio r_A/r_B is equal to (1) 4/3 (2) 3/4 (3) 2/sqrt(3) (4) sqrt(3)/2

An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature 27 degrees C. The mass of the oxygen withdrawn from the cylinder is nearly equal to: [Given, R = 100/12 J mol^-1 K^-1, and molecular mass of O₂ = 32, 1 atm pressure = 1.01x10⁵ N/m] (1) 0.125 kg (2) 0.144 kg (3) 0.116 kg (4) 0.156 kg

In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency omega(t) and average amplitude A(t) of the system change with time t. Which one of the following options schematically depicts these changes correctly? (1) omega(t) increasing then saturating with A(t) constant (2) omega(t) increasing with A(t) decreasing (3) omega(t) increasing then saturating with A(t) increasing then saturating (4) omega(t) decreasing with A(t) decreasing

A pipe open at both ends has a fundamental frequency f in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to: (1) f/2 (2) f (3) 3f/2 (4) 2f

The x-t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at t = 2 s is : [Graph: displacement x (m) versus time t (s), sinusoidal with amplitude 1 m and period 8 s, passing through zero at t = 0.] (1) -pi²/16 m s^-2 (2) pi²/8 m s^-2 (3) -pi²/8 m s^-2 (4) pi²/16 m s^-2

If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is x/2 times its original time period. Then the value of x is: (1) 4 (2) sqrt(3) (3) sqrt(2) (4) 2 sqrt(3)

The plates of a parallel plate capacitor are separated by d. Two slabs of different dielectric constant K₁ and K₂ with thickness (3/8)d and d/2 respectively are inserted in the capacitor. Due to this, the capacitance becomes two times larger than when there is nothing between the plates. If K₁ = 1.25 K₂, the value of K₁ is: (1) 2.66 (2) 2.33 (3) 1.60 (4) 1.33

An electric dipole with dipole moment 5x10^-6 Cm is aligned with the direction of a uniform electric field of magnitude 4x10⁵ N/C. The dipole is then rotated through an angle of 60 degrees with respect to the electric field. The change in the potential energy of the dipole is: (1) 0.8 J (2) 1.0 J (3) 1.2 J (4) 1.5 J

The equivalent capacitance of the system shown in the following circuit is : [Circuit: between terminals A and B, a 3 microF capacitor in series with a parallel combination of two 3 microF capacitors.] (1) 9 microF (2) 2 microF (3) 3 microF (4) 6 microF

An electric dipole is placed as shown in the figure. The electric potential (in 10² V) at point P due to the dipole is (epsilon₀ = permittivity of free space and 1/(4 pi epsilon₀) = K) : [Figure: charges -q and +q separated by 6 cm (3 cm each side of centre O) along a line; point P is 5 cm from O along the perpendicular-type geometry shown, with the 5 cm marked from O to P.] (1) (8/3) qK (2) (3/8) qK (3) (5/8) qK (4) (8/5) qK

A thin spherical shell is charged by some source. The potential difference between the two points C and P (in V) shown in the figure is: (Take 1/(4 pi epsilon₀) = 9 x 10⁹ SI units). In the figure, C is the centre and P is a point on the shell of radius R = 3 cm carrying charge q = 1 microC. (1) zero (2) 3 x 10⁵ (3) 1 x 10⁵ (4) 0.5 x 10⁵

The current passing through the battery in the given circuit, is: (1) 2.0 A (2) 0.5 A (3) 2.5 A (4) 1.5 A

A wire of resistance R is cut into 8 equal pieces. From these pieces two equivalent resistances are made by adding four of these together in parallel. Then these two sets are added in series. The net effective resistance of the combination is: (1) R/64 (2) R/32 (3) R/16 (4) R/8

Two heaters A and B have power rating of 1 kW and 2 kW, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is: (1) 2 : 3 (2) 1 : 1 (3) 2 : 9 (4) 1 : 2

A wheatstone bridge is used to determine the value of unknown resistance X by adjusting the variable resistance Y as shown in the figure. For the most precise measurement of X, the resistances P and Q : (1) do not play any significant role (2) should be approximately equal to 2X (3) should be approximately equal and are small (4) should be very large and unequal

The resistance of platinum wire at 0 degrees C is 2 ohm and 6.8 ohm at 80 degrees C. The temperature coefficient of resistance of the wire is : (1) 3x10^-1 degrees C^-1 (2) 3x10^-4 degrees C^-1 (3) 3x10^-3 degrees C^-1 (4) 3x10^-2 degrees C^-1

A very long conducting wire is bent in a semi-circular shape from A to B as shown in figure. The magnetic field at point P for steady current configuration is given by : [Figure: a long wire carrying current i comes in from the left, bends into a semicircle of radius R around point P, and continues out to the left; P is the centre of the semicircle.] (1) (mu₀ i)/(4R) [1 - 2/pi] pointed into the page (2) (mu₀ i)/(4R) pointed into the page (3) (mu₀ i)/(4R) pointed away from the page (4) (mu₀ i)/(4R) [1 - 2/pi] pointed away from page

A 2 amp current is flowing through two different small circular copper coils having radii ratio 1:2. The ratio of their respective magnetic moments will be (1) 1:4 (2) 1:2 (3) 2:1 (4) 4:1

The net impedance of circuit (as shown in figure) will be : [Circuit: series AC circuit with inductor (50/pi) mH, capacitor (10³/pi) microF and resistor 10 ohm across a 220 V, 50 Hz source.] (1) 25 ohm (2) 10 sqrt(2) ohm (3) 15 ohm (4) 5 sqrt(5) ohm

In the above diagram, a strong bar magnet is moving towards solenoid-2 from solenoid-1. The direction of induced current in solenoid-1 and that in solenoid-2, respectively, are through the directions: (1) BA and DC (2) AB and DC (3) BA and CD (4) AB and CD

In an ideal transformer, the turns ratio N_p/N_s = 1/2. The ratio V_s : V_p is equal to (the symbols carry their usual meaning): (1) 1 : 4 (2) 1 : 2 (3) 2 : 1 (4) 1 : 1

A 10 microF capacitor is connected to a 210 V, 50 Hz source as shown in figure. The peak current in the circuit is nearly (pi = 3.14): (1) 0.35 A (2) 0.58 A (3) 0.93 A (4) 1.20 A

In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1 microF and resistance R is 100 ohm. The frequency at which resonance occurs is : (1) 1.59 kHz (2) 15.9 rad/s (3) 15.9 kHz (4) 1.59 rad/s

A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to displacement current is: (1) zero at all places (2) constant between the plates and zero outside the plates (3) non-zero everywhere with maximum at the imaginary cylindrical surface connecting peripheries of the plates (4) zero between the plates and non-zero outside

The electric field in a plane electromagnetic wave is given by E_z = 60 cos(5x + 1.5x10⁹ t) V/m. Then expression for the corresponding magnetic field is (here subscripts denote the direction of the field) (1) B_y = 2x10^-7 cos(5x + 1.5x10⁹ t) T (2) B_x = 2x10^-7 cos(5x + 1.5x10⁹ t) T (3) B_z = 60 cos(5x + 1.5x10⁹ t) T (4) B_y = 60 sin(5x + 1.5x10⁹ t) T

The property which is not of an electromagnetic wave travelling in free space is that: (1) they originate from charges moving with uniform speed. (2) they are transverse in nature. (3) the energy density in electric field is equal to energy density in magnetic field. (4) they travel with a speed equal to 1/sqrt(mu₀ epsilon₀).

An unpolarized light beam travelling in air is incident on a medium of refractive index 1.73 at Brewster's angle. Then- (1) reflected light is completely polarized and the angle of reflection is close to 60 degrees (2) reflected light is partially polarized and the angle of reflection is close to 30 degrees (3) both reflected and transmitted light are perfectly polarized with angles of reflection and refraction close to 60 degrees and 30 degrees, respectively (4) transmitted light is completely polarized with angle of refraction close to 30 degrees

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 (1) 100 (2) 125 (3) 150 (4) 250

In a certain camera, a combination of four similar thin convex lenses are arranged axially in contact. Then the power of the combination and the total magnification in comparison to the power (p) and magnification (m) for each lens will be, respectively - (1) 4p and 4m (2) p⁴ and 4m (3) 4p and m⁴ (4) p⁴ and m⁴

A light ray enters through a right angled prism at point P with the angle of incidence 30 degrees as shown in figure. It travels through the prism parallel to its base BC and emerges along the face AC. The refractive index of the prism is: (1) sqrt(3)/2 (2) sqrt(5)/4 (3) sqrt(5)/2 (4) sqrt(3)/4

In the figure shown here, what is the equivalent focal length of the combination of lenses (Assume that all layers are thin)? [Figure: a biconvex lens with R1 = R2 = 20 cm, with medium n1 = 1.5 on one side and n2 = 1.6 on the other side.] (1) -50 cm (2) 40 cm (3) -40 cm (4) -100 cm

For Young's double slit experiment, two statements are given below: Statement I : If screen is moved away from the plane of slits, angular separation of the fringes remains constant. Statement II : If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases. In the light of the above statements, choose the correct answer from the options given below: (1) Statement I is false but Statement II is true. (2) Both Statement I and Statement II are true. (3) Both Statement I and Statement II are false. (4) Statement I is true but Statement II is false.

Light travels a distance x in time t₁ in air and 10x in time t₂ in another denser medium. What is the critical angle for this medium? (1) sin^-1(10 t₁ / t₂) (2) sin^-1(t₂ / t₁) (3) sin^-1(10 t₂ / t₁) (4) sin^-1(t₁ / 10 t₂)

The graph which shows the variation of the de Broglie wavelength (lambda) of a particle and its associated momentum (p) is : (1) rectangular hyperbola (lambda decreasing with p) (2) straight line increasing (3) straight line decreasing (4) curve increasing with p

The work functions of Caesium (Cs), Potassium (K) and Sodium (Na) are 2.14 eV, 2.30 eV and 2.75 eV respectively. If incident electromagnetic radiation has an incident energy of 2.20 eV, which of these photosensitive surfaces may emit photoelectrons? (1) Na only (2) Cs only (3) Both Na and K (4) K only

A model for quantized motion of an electron in a uniform magnetic field B states that the flux passing through the orbit of the electron is n(h/e) where n is an integer, h is Planck's constant and e is the magnitude of electron's charge. According to the model, the magnetic moment of an electron in its lowest energy state will be (m is the mass of the electron) (1) he/(pi m) (2) he/(2 pi m) (3) heB/(pi m) (4) heB/(2 pi m)

Match List I with List II. List I (Spectral Lines of Hydrogen for transitions from): A. n₂ = 3 to n₁ = 2 B. n₂ = 4 to n₁ = 2 C. n₂ = 5 to n₁ = 2 D. n₂ = 6 to n₁ = 2 List II (Wavelengths (nm)): I. 410.2 II. 434.1 III. 656.3 IV. 486.1 Choose the correct answer from the options given below: (1) A-I, B-II, C-III, D-IV (2) A-II, B-I, C-IV, D-III (3) A-III, B-IV, C-II, D-I (4) A-IV, B-III, C-I, D-II

For the nuclear decay chain: ₈₂²⁹⁰ X --(alpha)--> Y --(e^+)--> Z --(beta^-)--> P --(e^-)--> Q. In the nuclear emission stated above, the mass number and atomic number of the product Q respectively are: (1) 286, 81 (2) 280, 81 (3) 286, 80 (4) 288, 82

The radius of inner most orbit of hydrogen atom is 5.3x10^-11 m. What is the radius of third allowed orbit of hydrogen atom? (1) 4.77 Angstrom (2) 0.53 Angstrom (3) 1.06 Angstrom (4) 1.59 Angstrom

The output (Y) of the given logic implementation is similar to the output of an/a ________ gate. (1) AND (2) NAND (3) OR (4) NOR

A full wave rectifier circuit with diodes (D₁) and (D₂) is shown in the figure. If input supply voltage V_in = 220 sin(100 pi t) volt, then at t = 15 msec (1) D₁ is forward biased, D₂ is reverse biased (2) D₁ is reverse biased, D₂ is forward biased (3) D₁ and D₂ both are forward biased (4) D₁ and D₂ both are reverse biased

Consider the following statements A and B and identify the correct answer (an I-V characteristics graph with quadrants I, II, III, IV is given): A. For a solar-cell, the I-V characteristics lies in the IV quadrant of the given graph. B. In a reverse biased pn junction diode, the current measured in (microA), is due to majority charge carriers. (1) Both A and B are incorrect. (2) A is correct but B is incorrect. (3) A is incorrect but B is correct. (4) Both A and B are correct.

Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and the zero of V.S. is at x = 0.1 cm when the jaws of Vernier callipers are closed. If the main scale reading for the diameter is M = 5 cm and the number of coinciding vernier division is 8, the measured diameter after zero error correction, is (1) 5.18 cm (2) 5.08 cm (3) 4.98 cm (4) 5.00 cm