JEE Advanced Practice Test- 8 National Level Test Series MCQs & solutions

A particle strikes a horizontal frictionless floor with a speed u at an angle φ with the vertical andrebounds with a speed v at an angle φ with the vertical. The co-efficient of restitution betweenthe particle and floor is e. The angle φ  is equal to

In the given situation disc and ring (2kg) are connected with a string. Both are placed on the rough surface. A force F = 10N is applied on the centre of disc horizontally. Assume initially both bodies were in rest. Then frictional force acting onthe ring will be

A flat coil of area A and n turns is placed at the centre of a ring of radius r (r² >> A) and resistance R. The two are co-planar when current in the coil increases from zero to i, the total charge circulating in the ring is

In the arrangement shown, all surfaces are frictionless. The rod R is constrained to move vertically. The vertical acceleration of R is a₁ and the horizontal acceleration of the edge w is a₂. The ratio a₁/a₂is equal to

Which of the following is the most accurate instrument for measuring length? 

A block of mass m is placed on a wedge of mass 2m which rests on a rough horizontal surface. There is no friction between the block and the wedge. The minimum coefficient of friction between the wedge and the ground so that thewedge does not move is

A spherical object of mass 1 kg and radius 1 m is falling vertically downward inside a viscous liquid in a gravity free space. At a certain instant the velocity of the sphere is 2 m/s. If the coefficient of viscosity of the liquid is 1/18π n-s/m², then velocity of ball will become 0.5 m/s after a time

Two identical simple pendulums A and B are fixed at same point. They are displaced by an angle α and β (α and β are very small and β > α) and released from rest. Find the time after which B reaches its initial position for the first time. Collisions are elastic and length of the strings is l.

A photon collides with a stationary H – atom in ground state inelastically. Energy of the colliding photon is 10.2 eV. Almost instantaneously, another photon collides with same H – atom inelastically with an energy of 15 eV. What will be observed by the detector?

An electron in H – atom is excited from ground state level to first excited level. Select the correct statements:

In the given circuit, current in resistance R is 1A, then

A bag of mass M hangs by a long thread and a bullet (mass m) comes horizontally with velocity v and gets caught in the bag. Then for the combined system (bag + bullet)

In the circuit diagram shown

A particle starts SHM at time t = 0. Its amplitude is A and angular frequency isω. At time t = 0 its kinetic energy is 4/E , where E is total energy. Assuming potential energy to be zero at mean
position, the displacement-time equation of the particle can be written as

A disc having radius R is rolling without slipping on a horizontal plane as shown. Centre of the disc has a velocity v and acceleration a as shown.

Q. Speed of point P having coordinates (x, y) is

A disc having radius R is rolling without slipping on a horizontal plane as shown. Centre of the disc has a velocity v and acceleration a as shown.

Q. If V =  , the angle θ between acceleration of the top most point and the horizontal is

A certain substance has a mass of 50g/mol. When 300J of heat is added to 25 gm of sample of this material, its temperature rises from 25 to 45^oC.

Q.. The thermal heat capacity of the substance is

Two thin symmetrical lenses of different nature have equal radii of curvature of all faces R = 20 cm. The lenses are put close together and immersed in water. The focal length of the system is 24 cm. The difference between refractive indices of the lenses is  Find n. The refractive index of water is

Which one of the following is not true about diborane?

For the reaction,

What is the product A?

The wave function of atomic orbital of H-like atoms is given as under:

Given that the radius is in Å, then which of the following is radius for nodal surface for He+ ion

I₂(s) | I^- (0.1 M) half cell is connected to a H+ (aq.) | H₂(1 bar) | Pt half cell and emf is found to be 0.7714 V. If  =  0.535 V,  find the pH of H⁺ |H half cell.

In the graph between √v and Z for the Mosley’s equation, theintercept OX is -1 on √v axis. What is the frequency whenatomic number (Z) is 51?

Which of the following equations must be used for the exact calculation of [H⁺] of an aqueous HCl solution at any concentration C_HCl.[k_w = 10^-14 M²]

Which of the following salts give different result by the action of heat?

Which of the following is/are correct for the reaction with equilibrium constant K?

Which of the following reaction is incorrect regarding the formation of major product (alkene)?

This section contains 4 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer, out which ONE OR MORE is/are correct.

Select the correct statement(s) about the above compounds from the following:

HI cannot be prepared by the action of conc. H₂SO₄ on KI because