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In an LCR circuit as shown below, both switches are open initially. Later, switch S_{1} is closed and S_{2} is kept open. (q is charge on the capacitor and τ = RC is capacitive time constant). Which of the following statements is correct?
In an ac generator, a coil with N turns, all of the same area A and total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of emf generated in the coil is
A rectangular loop has a sliding connector PQ of length ℓ and resistance RΩ and is moving with a speed v as shown. The setup is placed in a uniform magnetic field going into the plane of the paper. The three currents I_{1}, I_{2} and I are
Three charges Q, +q and +q are placed at the vertices of a rightangled isosceles triangle as shown in the figure. The net electrostatic energy of the configuration is zero if Q is equal to
A block is kept on a frictionless inclined surface with angle of inclination α. The incline is given an acceleration 'a' to keep the block stationary. Then, 'a' is equal to
The diameter of a drop of liquid fuel changes with time due to combustion according to the following relationship.
While burning, the drop falls at its terminal velocity under Stokes flow regime. Find the distance that it will travel before complete combustion.
The halflife period of a radioactive element X is the same as the mean life time of another radioactive element Y. Initially, they have the same number of atoms. Then,
An object is 1 metre in front of the curved surface of a planoconvex lens whose flat surface is silvered. A real image is formed 120 cm in front of the lens. What is the focal length of the lens?
Consider a two particle system with particles having masses m_{1} and m_{2}. The first particle is pushed towards the centre of mass through a distance d. By what distance should the second particle be moved, so as to keep the centre of mass at the same position?
An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V_{1} and contains ideal gas at pressure P_{1} and temperature T_{1}. The other chamber has volume V_{2} and contains ideal gas at pressure P_{2} and temperature T_{2}. If the partition is removed without doing any work on the gas, then the final equilibrium temperature of the gas in the container will be
In a hydrogen atom, the electron moves around the nucleus in a circular orbit of radius 5 × 10^{−11} m. Its time period is 1.5 × 10^{−16}s. The current associated with the electron motion is (charge of electron is 1.6 × 10^{−19} C)
A cubical vessel open from top of side L is filled with a liquid of density ρ then the torque of hydrostatic force on a side wall about an axis passing through one of bottom edges is
A certain ideal gas undergoes a polytropic process PV^{n }= constant such that the molar specific heat during the process is negative. If the ratio of the specific heats of the gas be γ, then the range of values of n will be
A ball is projected from the bottom of an inclined plane of inclination 30^{o}, with a velocity of 30 m s^{−1}, at an angle of 30^{o} with the inclined plane. If g = 10 ms^{−2}, then the range of the ball on given inclined plane is
A transistoroscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in series produce oscillations of frequency f. If L is doubled and C is changed to 4C, the frequency will be
If the radius of the earth were to shrink by one percent and its mass remains the same, the acceleration due to gravity on the earth's surface would
A black body, at 200 K, is found to have maximum energy at a wavelength of 14 μm. When its temperature is raised to 1000 K, the wavelength at which maximum energy is emitted is
The time constant of charging of the capacitor shown in the diagram is
Spherical wavefronts shown in figure, strike a plane mirror. Reflected wavefronts will be as shown in
A simple pendulum has a time period T_{1} when on the earth's surface and T_{2} when taken to a height 2R above the earth's surface where R is the radius of the earth. The value of
The magnetic field due to a currentcarrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is 54 μT. Its value at the centre of the loop is CμT. What is the value of C?
In a potentiometer experiment, the balancing with a cell is at length 240 cm. On shunting the cell with a resistance of 2Ω, the balancing length becomes 120 cm. The internal resistance of the cell, in ohm, is
The height, in terms of R (radius of Earth), at which the acceleration due to gravity becomes g/9 (where g = acceleration due to gravity on the surface of Earth), is nR. What is the value of n?
A particle executes S.H.M. given by x = 0.24cos(400t − 0.5) in SI units. Find amplitude in cmcm.
The apparent depth of needle lying at the bottom of the tank which is filled with water to a height of 15.5 cm is measured by a microscope to be 8.5 cm. If water is replaced by a liquid of refractive index 1.94 to the same height as earlier, then the displacement of the microscope needed to establish the focus on the needle again is n μmn μm. The value of n is
The radiations from a naturally occurring radioactive substance, as seen after deflection by a magnetic field in one direction, are
Both the molecules possess dipole moment in which of the following pairs?
Which of the following solutions will have pH close to 1.0?
Out of H_{2}S_{2}O_{3}, H_{2}S_{4}O_{6}, H_{2}SO_{5} and H_{2}S_{2}O_{8}, peroxy acids are
Geometrical shapes of the complexes formed by the reaction of Ni^{2+} with Cl^{}, CN^{} and H_{2}O, respectively, are
In the following reaction, predict the compounds X and Y.
XeF_{6} on partial hydrolysis with water, produces a compound X. The same compound X is formed when XeF_{6} reacts with silica. The compound X is:
How many EDTA (ethylenediaminetetraacetate) unit(s) are required to make an octahedral complex with a Ca^{2+} ion?
For one mole of a Van der Waals gas, when b = 0 and T = 300 K, the PV vs. 1/V plot is shown below. The value of the Van der Waals constant a (atm litre^{2} mol^{2}) is:
Three elements X, Y, and Z have atomic numbers 19, 37, and 55 respectively. Then the correct statements(s) is/are
An electron in an atom jumps in such a way that its kinetic energy changes from x to x/9. The change in its potential energy (magnitude) will be
The amount (in grams) of sucrose (mol wt. = 342 g) that should be dissolved in 100 g water in order to produce a solution with a 105.0 ^{o}C difference between the freezing point and boiling point is
(Given that K_{f} = 1.86 K kg mol^{−1} and Kb = 0.51 K kg mol^{−1 }for water)
The rate of decomposition for methyl nitrite and ethyl nitrite can be given in terms of rate constant k_{1} and k_{2} respectively. The energy of activation for the two reactions are 152.30 kJ mol^{−1 }and 157.7 kJ mol^{−1} as well as frequency factors are 10^{13} and 10^{14} respectively for the decomposition of methyl and ethyl nitrite. Calculate the temperature at which rate constant will be the same for the two reactions.
Choose from the indicated protons, the one that is most acidic.
The relative lowering of vapour pressure produced by dissolving 71.5 g of a substance in 1000 g of water is 0.00713. The molar mass of the substance in grams will be
Degree of dissociation of 0.1 N CH_{3}COOH is 10^{x}. The value of x is(Given: Ka = 1 × 10^{5})
The pH of a 0.01 M solution of a weak acid having degree of dissociation 12.5% is
(Nearest integer)
The number of chiral carbon centres in penicillin is _________.
In borax number of B−O−B bonds are XX and number of boron atoms are Y. Then X+YX+Y is
Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n, respectively, are
For complex numbers z_{1} = x_{1} + iy_{1} and z_{2} = x_{2} + iy_{2}, (where i = √1), we write z_{1} ∩ z_{2} for x_{1} ≤ x_{2} and y_{1} ≤ y_{2}, then for all complex numbers z with 1 ∩ z, we have
In a plane, there are 37 straight lines, out of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through the same point, no line passes through both points A and B, and no two lines are parallel. The number of intersection points the lines have is equal to
In a sequence of (4n + 1) terms, the first (2n + 1) terms are in AP, whose common difference is 2, and the last (2n + 1) terms are in GP, whose common ratio is 0.5. If the middle terms of the AP and GP are equal, then the middle term of the sequence is
then the global maximum and local minimum values of f(x) for x ∈ [2, 2], respectively, are
The area of the triangle formed by the tangent and the normal to the parabola y^{2} = 4ax, both drawn at the same end of the latus rectum and the axis of the parabola, is
The mean of n items is If these n items are successively increased by 2, 2^{2}, 2^{3}, …, 2^{n}, then the new mean is
If are three noncoplanar vectors and are vectors defined by the relations then the value of
The fourth term of equal to 200, then the value of x satisfying this is
Two vertices of a triangle are (3,−2) and (−2, 3) and its orthocentre is (−6, 1). The coordinates of its third vertex are
The equation of a circle C_{1} is x^{2 }+ y^{2 }− 4x − 2y − 11 = 0. Another circle C_{2} of radius 1 unit rolls on the outer surface of the circle C_{1}. Then the equation of the locus of the centre of C_{2} is
The number of real values of k for which the lines and are intersecting is
Consider set A = {1, 2, 3}. Number of symmetric relations that can be defined on A containing the ordered pair (1, 2) and (2, 1) is
If the system of equations
kx + y + 2z = 1
3x − y − 2z = 2
−2x − 2y − 4z = 3
has infinitely many solutions, then kk is equal to ______ .
If f(x) = cosx − 2ax + b is a function which increases for all x, then the maximum value of 2a + 1 is
There are 5 letters and 5 directed envelopes. The number of ways in which all the letters be put in a wrong envelope is _______.(Nearest Integer)
If one of the lines of my^{2} + (1  m^{2})xy  mx^{2} = 0 is a bisector of the angle between the lines xy = 0, then m(m > 0) is
357 docs148 tests

JEE Main Mock Test  13 Test  75 ques 
JEE Main Mock Test  14 Test  75 ques 
JEE Main Mock Test  15 Test  75 ques 
JEE Main Mock Test  16 Test  75 ques 
JEE Main Mock Test  17 Test  75 ques 
357 docs148 tests

JEE Main Mock Test  13 Test  75 ques 
JEE Main Mock Test  14 Test  75 ques 
JEE Main Mock Test  15 Test  75 ques 
JEE Main Mock Test  16 Test  75 ques 
JEE Main Mock Test  17 Test  75 ques 