JEE Main Mock Test 2 - JEE MCQ

The negative of the binding energy of a particle of mass m with a planet,when it is on the planets surface, is. A tunnel is dug along a diameter of the planet and the particle is dropped into it from the surface, when the body reaches the centre of the planet, its speed is 

A steel ring of radius r and cross-sectional area A is fitted on to a wooden disc of radius R(R > r). If Young’s modulus be Y, then the force with which the steel ring is expanded is :

Compare the pressure at the point P in the three tubes shown in the figure :

One end of an ideal spring is connected with a smooth block while the other end with rear wall of driving cabin of a truck as shown in figure initially, the system is at rest.  If truck starts to accelerate with a constant acceleration, then the block (relative to truck):

One end of a conducting rod is maintained at temperature 50°C and at the other end ice is melting at 0°C. The rate of melting of ice is doubled if

Volume versus temperature graph of two moles of helium gas is as shown in figure. The ratio of heat absorbed and the work done by the gas in process 1-2 is

The metal plate on the left in figure carries a charge +q. The metal plate on the right has a charge of -2q. What charge will flow through switch S from ground when it is closed, if central plate is initially neutral

Ionization energy of hydrogen atom in ground state is

A potential of 400 V is applied at the point A. The value of resistance R₁ = 1000 ?, R₂ = 2000 ? and R₃ = 1000 ? are connected between points A and G as shown in the figure. Point G is earthed. Maximum charge on the capacitor is :

Which one of the graphs shown in the option represents the variation of potential difference V across the inductor L with time t, the key K being plugged at t = 0, in the circuit shown in adjacent figure ?

An alternating voltage 220V and 50Hz is applied across a circuit containing pure resistance R, inductance L and capacitance C in series. Across which of the following can the voltage be greater than 220V ?

Interference fringes are produced using white light in a Young’s double slit experiment. When a uniform transparent sheet of refractive index 1.6 is placed in front of one of slits, the central fringes is shifted by a distance equal to width of 30 fringes with light of wavelength λ = 4800 Å. The thickness of the sheet in micrometers is

A plastic hemisphere has a radius of curvature of 8 cm and an index of refraction of 1.6. On the axis halfway between the plane surface and the spherical one (4 cm from each) is a small object O. The distance between the two images when viewed along the axis from the two sides of the hemisphere is approximately

The difference between the longest wavelength line of the Balmer series and shortest wavelength line of the Lyman series for a hydrogen like atom (Atomic number Z) equal to λ. The value of the Rydberg constant for the given atom is

Above curie temperature a ferromagnetic substance becomes

An electrolytic bath containing a vitriol solution is connected to a d.c. supply with an emf of 4 V and an internal resistance of 0.1 ?. The resistance of the solution is 0.5 ohm, the polarization emf is 1.5 V. How much copper will be deposited in one hour? ECE of copper = 0.00033 g/coulomb.

According the Maxwell's equation the velocity of light in any medium is expressed as

The potential energy of 1 kg particle free to move along X-axis is given by V(x) = J .The total mechanical energy of the particle 2 J. Then the minimum speed (in m/s) of the particle is:

In the figure , the wedge is pushed with an acceleration of 10√3  ms² It is seen that the block starts climbing upon the smooth inclined face of wedge. What will be the time taken by the block to reach the top?

Power supplied to a particle of mass 2 kg varies with time as  Watt. Here is in seconds. If velocity of particle at t = 0 is v =0 , the velocity of particle at time t = 2 will be

A simple pendulum is oscillating with angular displacement 90°. For what angle with vertical the acceleration of bob directed horizontally ?

A uniform circular disc has radius R. A square portion of diagonal R is cut from it. The centre of mass of the remaining portion from the centre is

The time taken for a disc of radius R and rotating about its center with ω₀ to stop when placed on the corner of a room such that the wall (coefficient of friction μ₁) and the horizontal floor (coefficient of friction μ₂) retard the disc, is

The fundamental frequency of a sonometer wire of length l is f₀. A bridge is now introduced at a distance of  from the centre of the wire . The number of beats heard if both sides of the bridges are set into vibration in their fundamental modes are

Magnetic field induction due to an infinite long solid cylindrical conductor of radius R at a distance x < R and y > R are equal in magnitude then

A box of mass M is placed on a smooth horizontal surface and ball of mass m is placed on smooth surface of the box. An impulse J is imparted in horizontal direction to the ball. Find the time period of oscillation (assuming all collision are elastic)

A rectangular block has a square base measuring a x a, and its height is h. It moves on a horizontal surface in a direction perpendicular to one of the edges of the base. The coefficient of friction is μ. It will topple if (choose the most appropriate option)