JEE Main 2014 Question Paper

87 questions with solutions. Free practice for all aspirants.

87
Total
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Easy
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Medium
87
Hard

Chemistry (29 questions)

Alcohol, Phenol and EtherHard

The most suitable reagent for the conversion of R - CH2 - OH → R - CHO is

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Atomic StructureHard

The correct set of four quantum numbers for the valence electrons of rubidium atom (Z = 37) is

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Benzaldehyde and Benzoic AcidHard

Sodium phenoxide when heated with CO2 under pressure at 125oC yields a product which on acetylation produces C. C The major product C would be

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BiomoleculesHard

Which one of the following bases is not present in DNA?

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Chemical BondingHard

Among the following oxoacids, the correct decreasing order of acid strength is

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Math (30 questions)

Area under the curveHard

The area of the region described by A = {(x, y) : x2 + y2 ≤ 1 and y2 ≤ 1 - x} is

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Binomial TheoremHard

Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is

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CircleHard

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to

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Complex NumbersHard

If z is a complex number such that |z| ≥ 2, then the minimum value of

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Differential EquationHard

Let the population of rabbits surviving at a time t be governed by the differential equation p(t) - 200. If p(0) = 100, then p(t) equals

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Physics (28 questions)

Atomic StructureHard

Hydrogen (1H1), Deuterium (1H2) singly ionised Helium (2He4)+ and doubly ionised lithium (3Li6)++; all have one electron around the nucleus. Consider an electron transition from n = 2 to n = 1. If the wave lengths of emitted radiation are λ1, λ2, λ3 and λ4 respectively then approximately which one of the following is correct?

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Atomic StructureHard

Match List-I (Electromagnetic wave type) with List - II (Its association/application) and select the correct option from the choices given below the lists :

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CapacitanceHard

A parallel plate capacitor is made of two circular plates separated by a distance 5 mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3 × 104 V/m, the charge density of the positive plate will be close to

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Current Electricity and Electrical InstrumentHard

In a large building, there are 15 bulbs of 40 W, 5 bulbs of 100 W, 5 fans of 80 W and 1 heater of 1 kW. The voltage of the electric mains is 220 V. The minimum capacity of the main fuse of the building will be :

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ElectroMagnetic InductionHard

In the circuit shown here, the point ′C′ is kept connected to point ′A′ till the current flowing through the circuit becomes constant. Afterward, suddenly, point ′C′ is disconnected from point ′A′ and connected to point ′B′ at time t = 0. Ratio of the voltage across resistance and the inductor at t = L/R will be equal to

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