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The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energy required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is:
The length, breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. Give the volume of the sheet to correct significant figures.
A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in the figure. When the string is cut, the initial angular acceleration of the rod is:
[2013]
A particle is projected with a velocity v, so that its range on a horizontal plane is twice the greatest height attained. If g is acceleration due to gravity, then its range is
An object is said to be in uniform motion in a straight line if its displacement
Two cars are moving in same direction with speed of 30 kmph. They are separated by a distance of 5 km. What is the speed of a car moving in opposite direction if it meets the two cars at an interval of 4 min?
A body starts from rest, the ratio of distances travelled by the body during 3^{rd} and 4^{th}seconds is :
The magnetic field associated with a light wave is given, at the origin, by B = B_{0} [sin(3.14 × 10^{7})ct + sin(6.28 × 10^{7})ct]. If this light falls on a silver plate having a work function of 4.7 eV, what will be the maximum kinetic energy of the photo electrons ?
(c = 3 × 10^{8 }ms^{1}, h = 6.6 × 10^{34} Js)
One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, 27°C. The work done on the gas will be:
The electric field at a point associated with a light wave is E = (100 Vm ^{−1}) sin [(3.0 ×1015^{s−1})t] sin [(6.0×1015^{s−1})t]. If this light falls on a metal surface having a work function of 2.0 eV, what will be the maximum kinetic energy of the photo electrons ?
A ray of light is incident at an angle of 60° on one face of a prism of angle 30°. The emergent ray of light makes an angle of 30° with incident ray. The angle made by the emergent ray with second face of prism will be:
Both the nucleus and the atom of some element are in their respective first excited states. They get deexcited by emitting photons of wavelengths λ_{N} and λ_{A}, respectively. The ratio λ_{N}/λ_{A }is closest to:
A gravity meter can detect change in acceleration due to gravity (g) of the order of 10^{9}%. Calculate the smallest change in altitude near the surface of the earth that results in a detectable change in g. Radius of the earth R = 6.4 x 10^{6}m.
The diagram of a logic circuit is given below. The output F of the circuit is given by:
In the circuit shown in the Figure, cell is ideal and R2 = 100Ω. A voltmeter of internal resistance 200Ω reads V_{12} = 4 V and V_{23} = 6 V between the pair of points 1  2 and 2  3 respectively. What will be the reading of the voltmeter between the points 1  3.
The energy required to separate the typical middle mass nucleus into its constituent nucleons is:
(Mass of 119.902199amu, mass of proton = 1.007825amu and mass of neutron = 1.008665amu)
The astronomical phenomenon when the planet Venus passes directly between the Sun and the earth is known as Venus transit. For two separate persons standing on the earth at points M and N, the Venus appears as black dots at points M' and N' on the Sun. The orbital period of Venus is close to 220 days. Assuming that both earth and Venus revolve on circular paths and taking distance MN = 1000 km, calculate the distance M'N' on the surface of the Sun.
[Take (2.75)^{1/3} = 1.4]
Consider the following figure:
Which of the following labelled points in the figure given above indicate an unstable state of an object?
A straight wire of length L and radius a has a current I. A particle of mass m and charge q approaches the wire moving at a velocity v in a direction anti parallel to the current. The line of motion of the particle is at a distance r from the axis of the wire. Assume that r is slightly larger than a so that the magnetic field seen by the particle is similar to that caused by a long wire. Neglect end effects and assume that speed of the particle is high so that it crosses the wire quickly and suffers a small deflection θ in its path. Calculate θ.
A water barrel having water up to depth 'd' is placed on a table of height 'h'. A small hole is made on the wall of the barrel at its bottom. If the stream of water coming out of the hole falls on the ground at a horizontal distance 'R' from the barrel, then the value of 'd' is:
A physical quantity Q is given by
The percentage error in A,B, C, D are 1%, 2%, 4%, 2% respectively. Find the percentage error in Q.
In the HCl molecule, the separation between the nuclei of the two atoms is about 1.27 Å (1 Å = 10^{–10} m). Find the approximate location of the CM of the molecule, given that a chlorine atom is about 35.5 times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus.
A bullet is fired from a gun at a speed of 5000 m/s. At what height should the gun be aimed above a goal if it has to strike the goal at a distance of 500 m? Take g=10m/s^{2}
The amplitude of the magnetic field part of a harmonic electromagnetic wave in vacuum is B_{0 }= 510nT. What is the amplitude of the electric field part of the wave?
A radio can tune in to any station in the 7.5 MHz to 12MHz bands. What is the corresponding wavelength band?
Electromagnetic radiations having λ = 310 Å are subjected to a metal sheet having work function = 12.8 eV. What will be the velocity of photoelectrons with maximum Kinetic energy.
Consider the ground state of Cr atom (X = 24). The number of electrons with the azimuthal quantum numbers, ℓ = 1 and 2 are, respectively [2004]
Which of the following angle corresponds to sp_{2} hybridisation?
Azide ion [N_{3}^{}] exhibits an (N−N) bond order of 2 and may be represented by the resonance structures I,II and III given below:
The most stable resonance structure is
C—Cl bond in (vinyl chloride) is stabilised in the same way as in
The following equations are balanced atomwise and chargewise.
(i) Cr_{2}O_{7}^{2} + 8H+ + 2H_{2}O_{2} → 2Cr^{3}+ + 7H_{2}O + 2O_{2}
(ii) Cr_{2}O_{7}^{2} + 8H+ + 5H_{2}O_{2}→ 2Cr^{3+} + 9H_{2}O + 4O_{2}
(iii) Cr_{2}O_{7}^{2} + 8H+ + 7H_{2}O_{2}→ 2Cr+ + 11H_{2}O + 5O_{2}
The precise equationl equations representing the oxidation of H_{2}O_{2} is/are
In the general electronic configuration 
(n  2)f^{114} (n  1)d^{01} ns^{2}, if value of n = 7 the configuration will be 
Which of the following reactions is an example of a redox reaction?
Which of the following tests cannot be used for identifying amino acids?
Which dicarboxylic acid in presence of a dehydrating agent is least reactive to give an anhydride :
The major organic compound formed by the reaction of 1,1,1trichloroethane with silver powder is:
Biochemical Oxygen Demand (BOD) value can be a measure of water pollution caused by the organic matter. Which of the following statements is correct?
The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is
The actinoids exhibit more oxidation states in general than the lanthanoids. This is because:
The mass of carbon anode consumed (giving the only carbon dioxide) in the production of 270 kg of aluminium metal from bauxite by the Hall process is
[atomic mass Al = 27]
Which of the following polymers can be made by condensation polymerisation reaction?
The artificial sweetener containing chlorine that has the appearance and taste as that of sugar and is stable at cooking temperature is:
The inert gas atom in which the total number of delectrons is equal to the difference in numbers of total p and selectrons, is:
29.2 % (w/w) HCl stock solution has density of 1.25 g mL^{1}. The molecular weight of HCl is 36.5 g mol^{1}. The volume (mL) of stock solution required to prepare a 200 mL solution of 0.4 M HCl is
The elevation of boiling point of 0.10 m aqueous CrCl_{3}.xNH_{3} solution is two times that of 0.05 m aqueous CaCl_{2} solution. The value of x is ______.
[Assume 100% ionisation of the complex and CaCl_{2}, coordination number of Cr as 6, and that all NH_{3 }molecules are present inside the coordination sphere] (Answer up to the nearest integer)
The volume, in mL, of 0.02 M K_{2}Cr_{2}O_{7} solution required to react with 0.288 g of ferrous oxalate in acidic medium is _______.
(Molar mass of Fe = 56 g mol^{1})
(Answer up to the nearest integer)
3Methyl pent2ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stereoisomers for the product is:
(Answer up to the nearest integer)
The domain of the function is (where [x] denotes greatest integer function)
A real valued function f(x) satisfies the functional equation f(x – y) = f(x) f(y) – f(a – x) f(a + y) where a is a given constant and f(0) = 1, f(2a – x) is equal to
Let R be a relation defined on the set of N natural numbers as R = {(x, y): y is a factor of x, x, y∈ N} then,
If z ≠ 1 and is real, then the point represented by the complex number z lies : [2012]
Calculate the least whole number, which when subtracted from both the terms of the ratio 5 : 6 gives a ratio less than 17 : 22.
Given, 6x + 2(6  x) > 2x  2 < 5x/2  3x/4, then x can take which of the following values?
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that atleast 3 men are there on the committee. In how many ways can it be done ?
The area (in sq. units) of the region {x ∈ R : x ≥ 0, y ≥ 0, y ≥ x  2 and y ≤ √x) is
Two parabolas with a common vertex and with axes along xaxis and yaxis intersect each other in the first quadrant. If the length of the latus rectum of each parabola is 3, then the equation of the common tangent to the two parabolas is
The letters of the word OUGHT are written in all possible orders and these words are written out as in a dictionary. Find the rank of the word TOUGH in this dictionary.
Let P be a point on the parabola x^{2} = 4y. If the distance of P from the centre of the circle x^{2} + y^{2} + 6x + 8 = 0 is minimum, then the equation of the tangent to the parabola at P is
Let the population of rabbits surviving at a time t be governed by the differential equation If p(0) = 100, then p(t) equals
A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag. Its colour is seen and this ball, along with two additional balls of the same colour, is returned to the bag. If now, a ball is drawn at random from the bag, then the probability that this drawn ball is red is:
The length of projection of the line segment joining the points (5, 1, 4) and (4, 1, 3) on the plane x + y + z = 7 is
O is the origin and A is the point (a, b, c). Deduce the equation of the plane through A at right angles to OA.
Tangents drawn from the point (8, 0) to the parabola y^{2} = 8x touch the parabola at P and Q. If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to
The sides of a rhombus ABCD are parallel to the lines x  y + 2 = 0 and 7x  y + 3 = 0. If the diagonals of the rhombus intersect at P(1, 2) and the vertex A (different from the origin) is on the yaxis, then the ordinate of A is:
If f(x) is a quadratic expression such that f(1) + f(2) = 0, and 1 is a root of f(x) = 0, then the other root of f(x) = 0 is:
If the function ƒ(x) = 2 + x^{2} – e^{–x} and g(x) = ƒ^{–1}(x), then the value of equals
If function ƒ(x) = x^{3} + ax^{2} + bx + c is monotonically increasing ∀ x ∈ R, where a & b are prime numbers less than 10, then number of possible ordered pairs (a,b) is
Let S be the set of all triangles in the xyplane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements in the set S, is _______.
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JEE Main Mock Test  2 Test  75 ques 
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357 docs148 tests

JEE Main Mock Test  2 Test  75 ques 
JEE Main Mock Test  3 Test  75 ques 
JEE Main Mock Test  4 Test  75 ques 
JEE Main Mock Test  5 Test  75 ques 
JEE Main Mock Test  6 Test  75 ques 