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

Which one of the following represents the correct dimensions of the coefficient of viscosity? 

The missing number is ______ in the expression given below A = `se^{(at^x)/A}` where s : displacement, t : time, a : acceleration.

A monkey of mass 50 kg climbs on a rope which can withstand the tension (T) of 350 N. If monkey initially climbs down with an acceleration of 4 m/s² and then climbs up with an acceleration of 5m/s². Choose the corret option (g = 10 m/s²)

A mass of 10 kg is suspended vertically by a rope of length 5m from the roof. A force of 30 N is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is θ = tan^-1(x × 10^-1). The value of x is ______.

(Given g = 10 m/s²)

A person standing on a spring balance inside a stationary lift measures 60 kg. The weight of that person if the lift descends with uniform downward acceleration of 1.8 m/s² will be ______ N. [g = 10 m/s²]

Two satellites A and B having masses in the ratio 4 : 3 are revolving in circular orbits of radii 3r and 4r respectively around the Earth. The ratio of total mechanical energy of A to B is ______.

The displacement y of a particle in a medium can be expressed as, y = `10^-6sin(100t + 20x + pi/4)` m where t is in second and x in meter. The speed of the wave is ______.

A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle θ as shown in figure. The coefficient of kinetic friction is µK. Then, the block's acceleration 'a' is given by ______.

(g is acceleration due to gravity)

A uniform chain of length 3 metres and mass 3 kg overhangs a smooth table with 2 metres laying on the table. If k is the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is ______.

(Take g = 10 m/s²)

If T be the total time of flight of a current of water and H be the maximum height attained by it from the point of projection, then HIT will be : (u = projection velocity, e = projection angle)

Two particles are projected simultaneously from the level ground as shown in figure. They may collide after a time:

If a body of mass m is moving on a rough horizontal surface of coefficient of kinetic friction µ, the net resultant force exerted by surface on the body is ______.

If a baseball player can throw a ball at maximum distance = d over a ground, the maximum vertical height to which he can throw it, will be (Ball has same initial speed in each case):

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: