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If a, b, c are in H.P., then straight line x/a + y/b + 1/c = 0 always passes thro' a fixed point and that point is
The angle between the line (x  2)/2 = (y + 1)/1 = (z  3)/2 and the plane 3x + 6y  2z + 5 = 0 is
The equilibrium constant in a reversible chemical reaction at a given temperature
An organic compound A reacts with methyl magnesium iodide to form an addition product which on hydrolysis forms the compound B. Compound B gives blue colour salt in Victor Meyer's test. The compounds A and B are respectively.
The area formed by triangular shaped region bounded by the curves y = sinx, y = cos x and x = 0 is
The coordinates of the pole of the line lx+my+n=0 with respect to the circle x^{2}+y^{2}=1 are
The complex numbers z₁,z₂,z₃ satisfying (z₁z₃)/(z₂z₃) = 1(i√3/2) then triangle is
The foci of an ellipse are and minor axis is of unit length. Then the equation of the ellipse is
Which statement is logically equivalent to "If Yoda cannot use a lightsaber, then he cannot help Luke win the battle."
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A): If
Reason(R) : When
In the following questions, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the statements carefully and mark the correct answer 
Assertion (A): The sum of the series
Reason (R): The numbers A_{1}, A_{2}, ....., A_{n} are said to be the n arithmetic means between two given numbers a and b if a, A_{1}, A_{2}, ...., A_{n}, b are in A.P.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A):
Reason (R): If
If A and B are two matrices such that A + B and AB are both defined, then
In the following question, a Statement1 is given followed by a corresponding Statement2 just below it. Read the statements carefully and mark the correct answer
Let the vectors represent the sides of a regular hexagon.
Statement1:
.
Statement2:
The parabola y^{2}=4x passes thro' the point (2,6), then the length of its latus rectum is
In a Binomial distribution, the probability of getting a success is 1/4 and standard deviation is 3. Then its mean is
The probability distribution of a random variable X is given below. Then its mean is
X = x_{i } 1 2 3
Addition of a solution of oxalate to an aqueous solution of mixture of Ba^{2}⁺, Sr^{2}⁺ and Ca^{2}⁺ will precipitate
What is the lowest energy of the spectral line emitted by the hydrogen atom in the Lyman series ? (h = Planck constant; c = Velocity of light; R = Rydberg constant).
The compound with carbon uses only its sp^{3} hybrid orbitals for bond formation is
The common features among the species CN⁻, CO and NO⁺ are
Heat exchanged in a chemical reaction, at constant temperature and pressure, is called
For a reaction 2N₂O₅ → 4NO₂ + O₂ rate and rate constant are 1.02 x 10^{4} mol L⁻^{1} s⁻^{1} and 3.4 x 10^{5} sec⁻1. The conc. of N₂O₅ at that time will be
A Carnot engine, working between 500 K to 300 K has a work output of 800 Jcycle⁻^{1}. What is the amount of heat energy supplied to the engine from the source per cycle?
An ideal gas heat engine operates in Carnot cycle between 227ºC and 127ºC. It absorbs 6 x 10^{4} cals of heat at higher temp. Amount of heat converted into work is
The densities of graphite and diamond at 298 K are 2.25 and 3.31 gcm^{3} respectively. If the standard free energy difference (ΔGº)is equal to 1895 Jmol^{1}, then pressure at which graphite will be transformed into diamond at 298 K is
Increasing order of stability among the three main conformations(i.e.,Eclipse,Anti,Gauche) of 2fluorethanol is
The CFSE (Crystal Field Stabilisation Energy) for a high spin octahedral complex having d^{1} configuration is __
An aqueous solution of CoCl₂ on addition of excess of concentrated HCl, turns blue due to the formation of
Density ratio of O₂ and H₂ molecules is 16:1.The ratio of their r.m.s. velocities will be
The property of hydrogen which distinguishes it from other alkali metals is
Low reactivity of vinyl chloride and chlorobenzene is due to :
A pyridine derivative (I) reacts with (II), (II) can be a free radical, cation or anion. The structure of the intermediate (III) formed in the reaction is given below, (I) and (II) can be respectively:
Conformations are different arrangements of atoms that can be converted into one another by rotation about ___________
When two deuterium nuclei fuse together in addition to tritium, we get a
If a H₂ nucleus is completely converted into energy, the energy produced will be around
A uniform resistance wire of length L and diameter d has a resistance R. Another wire of same material has length 4 L and diameter 2 d, the resistance will be
Nichrome or Manganin is widely used in wire bound standard resistors because of their
If particles are moving with same velocity, then maximum deBroglie's wavelength will be for
When ultraviolet rays are incident on metal plate, then photoelectric effect does not occurs. It occurs by the incidence of
Which rays are not the portion of electro magnetic spectrum?
Two point charges +q and q are held fixed at (d,0) and (d,0) respectively of a xy coordinate system. Then
If 1000 droplets each of charge q and radius r are mixed to form a big drop, then the potential of big drop, as compared to small droplet will be
A satellite with kinetic energy E is revolving around the earth in a circular orbit. The minimum additional kinetic energy required to escape it in the outer space is
As we go from the equator to the poles, the value of g
On a cold morning, a metal surface will feel colder to touch than a wooden surface because
A black body at a temperature of 1640 K has the wavelength corresponding to maximum emission equal to 1.75μ. Assuming the moon to be a perfectly black body, the temperature of the moon, if the wavelength corresponding to maximum emission is 14.35 μ is
A man weighs 80 kg. He stands on a weighing scale in a lift, which is moving upwards with a uniform acceleration of 5 m−s⁻^{2}. What would be the reading on the scale?(Take g = 10 m−s⁻^{2})
If a car covers 2/5th of the total distance with ν₁ speed and 3/5th distance with ν₂ then average speed is
A current passing through a circular coil of two produces a magnetic field of 8 T at its centre. The coil is then rewound, so as to have four turns and current is passed through it is doubled. Now magnetic field at the centre of the coil will be
A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. what is the maximum angular displacement of the pendulum of the string with respect to the vertical ?
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A):A falling ball is attracted by the earth, because of which velocity of the ball goes on increasing in the downward direction. The ball also attracts the earth with same force but velocity developed in earth is negligible.
Reason(R):Momentum of ball and earth system is conserved.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A): A thin hollow cylindrical shell of radius 0.5 m has a mass of 2 kg. Its moment of inertia about its own axis is 0.5 kgm^{2}.
Reason(R) : Moment of inertia of a cylindrical shell about its axis I = MR^{2}.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A):Air is thrown on a sail attached to a boat from an electric fan placed on the boat, because of which some movement is caused in the boat.
Reason(R):When the fan pushes the sail by the air, then air also pushes the fan in the opposite direction, causing motion.
A cylindrical vessel is filled with water up to height H. A hole is bored in the wall at a depth h from the free surface of water. For maximum range, h is equal to
A force 10^{3} newton stretches the length of a hanging wire by 1 millimetre. The force required to stretch a wire of same material and length but having four times the diameter by 1 millimeter is
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be
We consider a thermodynamic system. If ∆U represents the increase in its internal energy and W the work done by the system, which of the following statements is true
A body of mass 5 g is executing S.H.M. with amplitude 10 cm. Its maximum velocity is 100 cm/s. Its velocity will be 50 cm/s at a displacement from the mean position equal to
The maximum speed of a body vibrating under simple harmonic motion with a time period of π/4 sec and amplitude of 7 cm is
The position of a particle at time 't' is given by the equation Where V_{0} is constant and A > 0. Dimensions of V_{0} and A respectively are
1 videos356 docs217 tests

1 videos356 docs217 tests
