JEE Main Mock Test - 15 - JEE MCQ

A spherical balloon contains air at temperature T₀ and pressure P₀. The balloon material is such that the instantaneous pressure inside is proportional to the square of the diameter. When the volume of the balloon doubles as a result of heat transfer, the expansion follows the law

A sonometer wire resonates with a given tuning fork, forming standing waves with five antinodes between the two bridges when a mass of 9 kg is suspended from the wire. When this mass is replaced by a mass M, the wire resonates with the same tuning fork, forming three antinodes for the same positions of the bridges. The value of M is

When an AC source of e.m.f. E = E₀ sin(100t) is connected across a circuit, the phase difference between the e.m.f. E and the current I in the circuit is observed to be π/4, as shown in the figure. If the circuit consists possibly only of R − C or R − L or L − C in series, what will be the relation between the two elements of the circuit?

Focal length of the plano-convex lens is 15 cm. A small object is placed at A as shown in figure. The plane surface is silvered. The image will form at

The binding energy of deuteron  is 1.15MeV per nucleon and an alpha particle  has a binding energy of 7.1MeV per nucleon. Then in the reaction the energy Q released is

A network of nine resistors has been shown. The equivalent resistance between A and D is

A metal conductor of length 1 m rotates vertically about one of its ends at angular velocity 5 radian per second. If the horizontal component of Earth's magnetic field is 0.2 x 10^-4 T, then the emf developed between the two ends of the conductor is

A boat is moving due East in a region where Earth's magnetic field is 5 × 10^-5 NA^-1m^-1 due North and horizontal. The boat carries a 2 m long vertical aerial. If the speed of the boat is 1.5 m/s, then the magnitude of the induced emf in the wire of the aerial is

Two spherical bodies of mass M and 5M and radii R and 2R, respectively, are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body, just before collision, is

The length of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetic metre is 2 s. The magnet is cut along its length into three equal parts and the three parts are then tied up with their like poles together. The time period of this combination will be

The atomic mass of ₇N¹⁵ is 15.000108 amu and that of ₈O¹⁶ is 15.994915 amu. The minimum energy required to remove the least tightly bound proton is (mass of a proton is 1.007825 amu)

A wire carrying current I is tied between points P and Q and is in the shape of a circular arch of radius R due to a uniform magnetic field B (perpendicular to the plane of the paper, shown by xxx) in the vicinity of wire. If the wire subtends an angle 2θ_o at the centre of the circle (of which it forms an arch) then the tension in the wire is:

Statement -1 : Two stones are simultaneously projected from level ground from same point with same speed but different angles with horizontal. Both stones move in same vertical plane. Then the two stones may collide in mid air.

Statement - 2 For two stones projected simultaneously from same point with same speed at different angles with horizontal, their trajectories may intersect at some point.

A ring of mass m, radius r having charge q uniformly distributed over it and free to rotate about it's own axis is placed in a region having a magnetic field B parallel to its axis. If the magnetic field is suddenly switched off, the angular velocity acquired by the ring is

If the distance between the Earth and the Sun were half its present value, the number of days in a year would have been

A pump motor is used to deliver water at a certain rate from a given pipe. To obtain n times water from the same pipe in the same time the amount by which the power of the motor should be increased

A cylinder weighing 450 N with a radius of 30 cm is held fixed on an incline that is rotating at 0.5 rad s⁻¹. The cylinder is released when the incline is at position θ equal to 30°. If the cylinder is at 6 m from the bottom A at the instant of release, what is the initial acceleration of the centre of the cylinder relative to the incline, if there is no slipping? (g = 10 m s⁻² )

Force of 4 N is applied on a body of mass 20 kg. Find the work done in Joules in 3rd second.

Three point charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown in the figure. If the net electrostatic energy of the configuration is zero, then what is the value of 10×∣Q/q∣? [Take √2 =1.4]

A wire of length L and 3 identical cells, of negligible internal resistance, are connected in series. Due to the current, the temperature of the wire is raised by ΔT in a time t. A number of N similar cells are now connected in series with a wire of the same material and area of cross-section but of length 2L. The temperature of the wire is raised by the same amount ΔT in the same time. Find the value of N.

Ultraviolet light of wavelength 300 nm and intensity 1.0 Wm^-2 falls on the surface of a photosensitive material. If one percent of the incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of 1.0 cm² of the surface is nearly p × 10¹² s^-1. The value of p is (Nearest integer)

At 780 K and 10 atmosphere pressure the equilibrium constant for the reaction 2 A(g) ⇌ B(g) + C(g) is 3.52. At the same temperature and 7.04 atmosphere pressure, the equilibrium constant for the same reaction is

For which of the following K_p may be equal to 0.5 atm

Which of the following is not involved in the formation of photochemical smog?

The order of reactivity of hydrogen halides with an alcohol is

The value of a for which one root of the equation x² −(a + 1)x + a² + a − 8 = 0 exceeds 2 and other is less than 2, are given by

A parabola is drawn through two given points A(2, 0) and B(−2, 0) such that its directrix always touch the circle x² + y² = 16, then locus of focus of the parabola is