PYQ2025 Questions

1. Moment of inertia of a rigid body depends on

-- 47. A particle is projected vertically upward from ground at t = 0. If the magnitude of displacement in 5th second and 9th second are equal, then the magnitude of displacement in 10th second will be (g = 10 m/s²)

-- 46. Two particles A and B start moving from (0,0) and (0,4) m with velocities V_A = 2ĵ m/s and V_B = 2î m/s. The distance between them first decreases and then increases.

-- 45. Select the correct option regarding projectile motion graphs:Statement A: vy-t graph is a straight line with negative slope and positive intercepts.Statement B: x-t graph is a straight line passing through origin.Statement C: y-t graph is a st

-- 44. A particle is moving in xy plane such that its velocity in x-direction remains constant at 3 m/s and its velocity in y-direction varies with time as v = 2t m/s. Displacement of particle at t = 3 s is (At t = 0, particle is at origin)

-- 43. A person throws a stone in air at some angle. It is observed that after 2 s it is moving at angle 30° to the horizontal and after further 2 s, it is travelling horizontally. The magnitude of initial velocity of stone is

-- 42. The position-time graph for two objects during motion are shown in diagram. The magnitude of relative velocity of A w.r.t. B is

41. A car, at origin, starts moving from rest on a horizontal ground such that the position vector of car with respect to its starting point is given as r = 2tî + 3t²ĵ. The equation of the trajectory of car is

-- 8. A body starts from rest and moves for n seconds with uniform acceleration a. Its velocity after n seconds is v. The displacement of the body in last 4 seconds is:

-- 7. A man is running with velocity 20 km/h towards west and rain is falling vertically down with 10 m/s. Direction of rain w.r.t. man is:

-- 6. A particle moves in space along the path z = ax³ + by² in such a way that dx/dt = dy/dt = c. The acceleration of the particle is:

-- 5. A 2 m wide truck is moving with a uniform speed v₀ = 8 m/s. A pedestrian starts to cross when the truck is 4 m away. The minimum value of v so that he can cross safely is

-- 4. A car is moving eastward with a speed of 54 km/h, while wind is blowing northwards with a speed of 36 km/h. A flag on the car will flutter in the direction:

-- 3. A river is flowing with a velocity V_R = 4î m/s. A boat is moving with a velocity V_BR = (-2î + 4ĵ) m/s relative to river. The width of the river is 100 m along y-direction. Match column I with column II (in SI units)(A) Drift of boatman along

-- 2. A body is projected with certain velocity from ground. At a height of 0.4 m from the ground, the velocity of a body is v = (6î + 2ĵ) m/s then the angle of projection from horizontal is (g = 10 m/s²)

1. A person of height 1.8 m is walking away from a lamp post of height 5 m along a straight path on the flat ground. If the speed of the person is 70 cm s⁻¹, the speed of the tip of the person's shadow on the ground with respect to the person is

-- 11. If the time taken by a person to cover a circular path of radius 2 m is π s, then the angular velocity of the person in 1 complete rotation is

-- 10. The ratio of magnitude of displacement to the distance covered is

-- 9. Two trains each 100 m long are travelling in opposite direction with velocity 20 m/s and 30 m/s. Time taken by trains in crossing each other will be (in second)

-- 8. The position-time graph of a moving particle is shown. The instantaneous velocity of the particle is negative at the point

-- 7. The ratio of possible maximum and minimum magnitudes of the resultant of two vectors A and B is 4 : 3. The relation between A and B is

-- 6. The magnitude of the difference between the individual measured value and true value of the quantity is known as

-- 5. A micrometer has 150 equal divisions on the circular scale, and on one full rotation of circular scale the main scale advances by 0.02. Then the least count of the micrometer (in cm) is

-- 4. The value of (24.36 + 0.0623 + 256.2) with proper significant digit is

-- 3. If force is given by F = A*sqrt(x) + Bt², where x is displacement and t is time, then dimensions of A/B is

-- 2. Which of the following is derived unit?

1. If A and B are two different physical quantities, then which of the following operations must be invalid?

-- 8. Two car of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that they make complete circle in the same time t. The ratio of their centripetal acceleration is

-- 7. In uniform circular motion, the centripetal acceleration has

-- 6. A particle has initial velocity (4î + 6ĵ) m/s and a constant acceleration a = (î + ĵ) m/s². The velocity of the particle after 2 second will be

-- 5. Vector OA (where O is origin) is represented as OA = 3î + 3ĵ. If the vector is rotated by 45° in clockwise direction, the new vector is represented as

-- 4. When nothing is placed between the jaws of a vernier calliper, the 9th division of vernier scale coincides with 6th division of main scale. If one main scale division is 0.01 mm, then the least count of instrument is (Note: Typically LC = 1MSD

-- 3. A particle is moving along x-axis. Its position (x) varies with time (t) as x = 4 + 2t - t²; where x is in meter and t is in second. At what time (t) it will reverse its motion?

-- 2. A person travels along a straight road for the first 1/3 time with a speed v1 and for next 2/3 time with a speed v2. Then the mean speed v is given by

1. Assertion: Number of significant digit in 0.002 is one and that in 0.500 is three.Reason: If number is less than 1, then zeroes before the non-zero numbers are not significant and zeroes after non-zero number are significant.

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) andmagnification (m) for each lens will be, respectivel

A 2 amp current is flowing through two differentsmall circular copper coils having radii ratio 1:2.The ratio of their respective magnetic moments willbe

AB is a part of an electrical circuit (see figure). Thepotential difference “VA – VB”, at the instant whencurrent i = 2 A and is increasing at a rate of 1amp/second is:

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 10m. The impulse imparted to the ball during itscollision with the ground is(Take g = 9.8 m/s2)

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

A bob of heavy mass m is suspended by a light stringof length l. The bob is given a horizontal velocity v0as shown in figure. If the string gets slack at somepoint P making an angle θ from the horizontal, theratio of the speed v of the bob at point P

There are two inclined surfaces of equal length (L)and same angle of inclination 45o with thehorizontal. One of them is rough and the other isperfectly smooth A given body takes 2 times as much time to slide down on rough surface than onthe smooth su

Consider a water tank shown in the figure. It has onewall at x = L and can be taken to be very wide in thez direction. When filled with a liquid of surfacetension S and density ρ, the liquid surface makesangle θo(θo << 1) with the x-axis at x = L. If