JEE Advanced Test- 13 - JEE MCQ

In the chemical reaction, CH₃CH₂NH₂ + CHCl₃ + 3KOH ⟶ (A) + (B) + 3H2O, the compounds (A) and (B) are respectively

A nonuniform sphere at rest on a rough horizontal surface is acted upon by a force F as shown. The friction force acting on it is
    (1) towards left        (2) towards right        (3) zero    

During synaptic transmission of nerve impulse, neurotransmitter (P) is released from synaptic vesicles by the action of ions (Q). Choose the correct P and Q.

E. Coli about to replicate was placed in a medium containing radio active thymidine for five minutes. Then it was made to replicate in a normal medium. Which of the following observation shall be correct?

To determine the coefficient of friction between a rough surface and a block, the surface is kept inclined at 45° and the block is released from rest. The block takes a time t in moving a distance d. The rough surface is then replaced by a smooth surface and the same experiment is repeated. The block now takes a time t/2 in moving down the same distance d. The coefficient of friction is

Consider a boy on a trolley who throws a ball with speed 20 m/s at an angle 37° with respect to trolley in direction of motion of trolley which moves horizontally with speed 10 m/s then what will be distance travelled by ball parallel to road :

A block is pushed momentarily on a horizontal surface with initial velocity ‘v’. If ‘μ’ is the coefficient of sliding friction between the block and surface, the block will come to rest after time (‘g’ = acceleration due to gravity)  

Three blocks A, B and C of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a frictionless surface, as shown. If a force of 14 N is applied on the 4 kg block, then the contact force between A and B is

A closed vessel contains a mixture of two diatomic gases A and B. Molar mass of A is 16 times that of B and mass of gas A, contained in the vessel is 2 times that of B. :  

A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30º, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coefficients of static and kinetic friction between the box and the plank will be, respectively 

In a resonance tube experiment, a closed organ pipe of length 120 cm resonates when tuned with a tuning fork of frequency 340 Hz. If water is poured in the pipe then (given vair = 340 m/sec.) :

The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is 

A particle moving on a smooth horizontal surface strikes a stationary wall. The angle of strike is equal to the angle of rebound & is equal to 37° and the coefficient of restitution with wall is e = 1/5. Find the friction coefficient between wall and the particle in the form X/10 and fill value of X. 

A spool of mass M = 3 kg and radius R = 20 cm has an axle of radius r = 10 cm around which a string is wrapped. The moment of inertia about an axis perpendicular to the plane of the spool and passing through the centre is  Coefficient of friction between the surface and the spool is 0.4. If the maximum value of the tension is T (in N) that can be applied so that the spool rolls without slipping, then find T/2 [Take g = 10 m/s².]

A particle is projected at an angle 60º with speed 10√3 , from the point ' A ' as shown in the fig. At the same time the wedge is made to move with speed 10√3 towards right as shown in the figure. Then the time (in seconds) after which particle will strike the wedge is 

In a tank of horizontal cross-sectional area 1m², a spring with force constant 2000 Nm^–1 is fixed in vertical position upto the height of the water as shown in figure 1. A block of mass 180 kg is gently placed over the spring and it attains the equilibrium position as shown in figure 2. If base area of the block is 0.2m² and height 60 cm, then compression in the spring is 5X (in cm)  in equilibrium position. Then find X (take g = 10 m/s²; ρ_w = 1000 kg/m³) 

A planet revolves about the sun in elliptical orbit of semimajor axis 2 × 10¹² m. The areal velocity of the planet when it is nearest to the sun is 4.4 × 10¹⁶ m²/s. The least distance between planet and the sun is 1.8 × 10¹² m. The minimum speed of the planet is a × 10¹ (in km/sec) then find a     

A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is

A roller is made by joining together two cones at their vertices O. It is kept on two rails AB and CD which are placed asymmetrically (see figure), with its axis perpendicular to CD and its centre O at the centre of line joining AB and CD (see figure). It is given a light push so that it starts rolling with its centre O moving parallel to CD in the direction shown. As it moves, the roller will tend to 

A block of mass m is placed on a smooth wedge of inclination θ. The whole system is accelerated horizontally, so that the block does not slip on the wedge. The force exerted by the wedge on the block (g is acceleration due to gravity) will be :

A horizontal force of 10 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.2. The weight of the block is 

BF₃ & CCl₄ on reaction with water produce _________ & _________ respectively :

In manufacture of sodium carbonate from solvay (or ammonia soda) process the raw material used is :

For the following flow diagram :

Which of the following option describes the reagents, products and the reaction conditions given in parentheses as small alphabets ?

The acceptable resonating structures of the following molecule are 

Which is not the correct order as per property given for the following pair of compounds:

Chiral molecule should not have ?