JEE Main entrance exam Question Bank Solutions for Physics (JEE Main)

The minimum speed in m/s with which a projectile must be thrown from origin at ground so that it is able to pass through a point P (30 m, 40 m) is ______. (g = 10 m/s²)

In the integral `int("d"x)/((2"a"x-x^2)^(1/2)) = "a"^"n" sin^-1 (x/"a"-1)`, the value of n should be ______.

Average torque on a projectile of mass m, initial speed u and angle of projection θ between initial and final positions P and Q as shown in figure about the point of projection is ______.

A magnet is suspended horizontally in the earth's magnetic field. When it is displaced and then released it oscillates is a horizontal plane with a period T. If a piece of wood of same moment of inertia (about the axis of rotation) as the magnet is attached to the magnet, what would the new period of oscillation of the system become?

A 40 kg wooden crate is being pushed across a wooden floor with a force of 160 N. If µ_k = 0.3, the acceleration of the crate is ______ m/s². (g = 10 m/s²}

A body is thrown from a point with speed 50 m/s at an angle 37° with horizontal. When it has moved a horizontal distance of 80 m then its distance from point of projection is ______.

A block of mass m is pulled by a constant power P placed on a rough horizontal plane. The friction co-efficient between the block and the surface is µ. Maximum velocity of the block will be:

A body starts from rest with constant acceleration a, its velocity after n second is v. The displacement of body in last two seconds is ______.

In the interference of two sources of intensities I₀ and 9I₀ the intensity at a point where the phase difference is `pi/2` is ______.

A short magnet produces a deflection of 30° when placed at certain distance in tanA position of magnetometer. If another short magnet of double the length and thrice the pole strength is placed at the same distance in tanB position of the magnetometer, the deflection produced will be:

A circular disc of radius r = 5m is rotating in horizontal plane about y-axis. Y-axis is vertical axis passing through the centre of disc and x-z is the horizontal plane at ground. The height of disc above ground is h = 5 m. Small particles are ejecting from disc in horizontal direction with speed 12 m/s from the circumference of disc then the distance of these particles from origin when they hits the x-z plane is:

A block of mass m = 1 kg moving on horizontal surface with speed u = 2 m/s enters a rough horizontal patch ranging from x = 0.10 m to x = 2.00 m. If the retarding force f_r on the block in this range is inversely proportional to x over this range i.e.

f_r = `"-k"/x`  0.10 < x < 2.00

= 0 for x < 0.10 and x > 2.00

If k = 0.5 J then the speed of this block as it crosses the patch is (use ℓn 20 = 3)

In a hydraulic press, there is a larger piston of diameter 35 cm at a height of 1.5 m relative to the smaller piston of diameter 10 cm. A 20 kg mass is loaded on the smaller piston. The density of oil in the press is 750 kg/m³. The thrust on the load by the larger piston is ______.

The minimum radius of a circle along which a cyclist can ride with a velocity 18 km/hr if the coefficient of friction between the tyres and the road is µ = 0.5, is ______ (Take g = 10 m/s²)

Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is `pi/3` and its maximum height is y₁ then the maximum height of the other will be ______.

Block A has a mass of 2 kg and block B has 20 kg. If the coefficient of kinetic friction between block B and the horizontal surface is 0.1, and B is accelerating towards the right with a = 2 m/s², then the mass of the block C will be ______.

(g = 10 m/s²)

For a projectile thrown into space with a speed v, the horizontal range is `(sqrt3"v"^2)/(2"g")`. The vertical range is `"v"^2/(8"g")`. The angle which the projectile makes with the horizontal initially is ______.

A chain of mass 'M' and length 'L' is put on a rough horizontal surface and is pulled by constant horizontal force 'F' as shown in the figure. The velocity of the chain as it turns completely ______.

(Coefficient of friction = μ)

The figure shows two fish tanks, each having ends of width 1 foot. Tank A is 3 feet long while tank B is 6 feet long. Both tanks are filled with 1 foot of water.

S_A = the magnitude of the force of the water on the end of tank A

S_B = the magnitude of the force of the water on the end of tank B

B_A = the magnitude of the force of the water on the bottom of tank A

B_B = the magnitude of the force of the water on the bottom of tank B. Using the notation given above, Which one of the following sets of equations below is correct for this situation?

A person standing on a truck moving with a uniform velocity of 14.7 ms^-1 on a horizontal road throws a ball in such a way that it returns to him after 4s. Find the speed and angle of projection as seen by a man on the road ______.