JEE Advanced Mock Test - 6 (Paper II) - JEE MCQ
30 Questions MCQ Test - JEE Advanced Mock Test - 6 (Paper II)
A particle is projected from a horizontal floor with speed 10 m s−1 at an angle 30° with the floor, which strikes the floor after some time. Which of the following is correct?
An electron is moving along the positive x-axis. You want to apply a magnetic field for a short time, so that the electron may reverse its direction and move parallel to the negative x-axis. This can be done by applying the magnetic field along
Refer to figure . Let ΔU1 and ΔU2 be the change in internal energy in processes A and B, respectively, ΔQ be the net heat given to the system in process A+B and ΔW be the net work done by the system in the process A+B.
An infinitely long solid cylinder of radius R has a uniform volume charge density ρρ. It has a spherical cavity of radius R2 with its centre on the axis of the cylinder, as shown in the figure. The magnitude of the electric field at the point P, which is at a distance 2R from the axis of the cylinder, is given by the expression 
. The value of k is:
A cylindrical cavity of diameter aa exists inside a cylinder of diameter 2a as shown in the figure. Both the cylinder and the cavity are infinity long. A uniform current density JJ flows along the length. If the magnitude of the magnetic field at the point P is given by N/12μ0aJ, then the value of N is
A sphere of mass MM and radius R rests on two supports of the same height. One support is stationary while the other is moving with a velocity v = √2 m s−1 (see in the diagram). Assume the stationary support is rough and the moving support is frictionless so that the sphere is slipping at B. At the instant shown, AB = R√2=R2. Find the speed (in m s−1) of the centre of the sphere at the given instant.
A small block of mass M moves on a frictionless surface of an inclined plane, as shown in figure. The angle of the incline suddenly changes from 60° to 30° at point B. The block is initially at least at A. Assume that collisions between the block and the incline are totally inelastic. (g = 10 m/s2)
If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline, is
A stone piece of small size is suspended by a string of length L (20 m). The piece is given a horizontal velocity v0. The string becomes slack at some angle θ and the piece describes a parabola. The value of v0, if the piece passes through the point of suspension, should be (in m/s) (Up to 2 decimal places)
A diatomic ideal gas is compressed adiabatically to 1/32 of its initial volume. If the initial temperature of the gas is Ti (in Kelvin) and the final temperature is aTi , the value of a is
= constant
A barometre contains two uniform capillaries of radii 1.44 x 10-3 m and 7.2 x 10-4 m. If the height of the liquid in narrow tube is 0.2 m more than that in the wide tube, then the true pressure difference is N x 103 N/m2. Find 'N'.
Density of liquid = 103 kg/m3, surface tension = 72 x 10-3 N/m and g = 9.8 m/s2
Two identical conducting rods are first connected independently to two vessels, one containing water at 100oC and the other containing ice at 0oC. In the second case, the rods are joined end to end and connected to the same vessels. Let q1 and q2 (g/s) be the rate of melting of ice in the two cases, respectively. How many times is q1 to q2?
A gaseous mixture enclosed in a vessel of volume V consists of one gram mole of gas A with γ (= Cp/Cv) = 5/3 and other gas B with γ = 7/5 at a certain temperature T. The gram molecular weights of the gases A and B are 4 and 32, respectively. The gases A and B do not react with each other and are assumed to be ideal. The gaseous mixture follows the equation pV19/13= constant, in adiabatic process. Find the number of gram moles of the gas B in the gaseous mixture.
A thermodynamic system is taken from an initial state i with internal energy Ui = 100 J to final state f along two different paths iaf and ibf as schematically shown in the figure. The work done by the system along the paths af, ib and bf is Waf = 200 J, Wib = 50 J and Wbf = 100 J, respectively. The values of heat supplied to the system along paths iaf, ib and bf are Qinf, Qib and Qbf, respectively. If the internal energy of the system in the state b is Ub = 200 J and Qiaf = 500 J, the ratio 
In the circuit shown, the coil has inductance and resistance. When X is joined to Y, the time constant is ττ during growth of current. When the steady-state is reached, rate of production of heat in the coil is P joule per second. X is now joined to Z, and after long time of joining X to Z -
Calculate the velocity with which the liquid gushes out of the 4 cm2 outlet, if the liquid flowing in the tube is water and liquid in U tube has a specific gravity12 . Velocity of liquid at point A is √20.2 m s−1
Directions: The following question has four choices, out of which ONE or MORE is/are correct.
A particular class of polymers is mostly derived from naturally occurring polymers by chemical modifications. Which of the following polymers belong(s) to this class?
Directions: The following question has four choices, out of which one or more is/are correct.
Select correct statement(s) about the chemical behaviour of oxo ions of halogens.
Which of the following cations cannot be separated by adding NH4Cl, NH4OH and (NH4)2CO3 to their solutions?
The value of log10 K(in integer) for a reaction A ⇌ B is (Given Δr H298k0= -54.07 kJ mol-1, Δr S298k010 JK-1 mol-1 and R = 8.314 JK-1 mol-1; 2.303 × 8.314 × 298 = 5705)
The succeeding operations that enable this transformation of states are
1. heating, cooling, heating, cooling
2. cooling, heating, cooling, heating
3. heating, cooling, cooling, heating
4. cooling, heating, heating, cooling
(Mark the correct succeeding operations as per their respective numbering given in the question.)
The possible equation of L is x - √3y = k. Find the sum of all possible values of k.
A common tangent to the two circles is 
Find the value of m.
If chord PQ subtends an angle θ at the vertex of y2 = 4ax, and 
Find the value of k.
Length of chord PQ is ma. Find the value of m.
as PQ is focal chord.
Suppose, two heat engines are connected in series, such that the heat exhaust of the first engine is used as the heat input of the second engine. The efficiencies of the engines are η1 and η2, respectively. The net efficiency of the combination is given by
Two non-conducting solid spheres of radii R and 2R having uniform volume charge densities ρ1 and ρ2 respectively, touch each other. The net electric field at a distance 2R from centre of the smaller sphere is zero. The ratio ρ1/ρ2 can be
During the dehydration of alcohols, the hydrogen is removed from the carbon atom having a lesser number of hydrogen atoms to yield the most stable alkene as a major product. Identify the most stable alkene formed during the following conversion:
Which chloro derivative of benzene among the following would undergo hydrolysis most readily with aqueous sodium hydroxide to furnish the corresponding hydroxyl derivative?
Consider the given series.
The sum of the series is
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