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## JEE Main 2018 (Online) 15th April Evening Slot

Exam Held on Sun Apr 15 2018 09:30:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

## Chemistry

All of the following share the same crystal structure except :
For per gram of reactant, the maximum quantity of N<sub>2</sub> gas is produced ...
The de-Broglie's wavelength of electron present in first Bohr orbit of 'H' atom ...
Given <br><br>(i)&nbsp;&nbsp; 2Fe<sub>2</sub>O<sub>3</sub>(s) $$\to$$ 4Fe(s) +...
$$\Delta$$<sub>f</sub>G<sup>o</sup> at 500 K for substance 'S' in liquid state ...
Following four solutions are prepared by mixing different volumes of NaOH and HC...
Biochemical Oxygen Demand (BOD) value can be a measure of water pollution caused...
The number of P $$-$$ O bonds in P<sub>4</sub>O<sub>6</sub> is :
At a certain temperature in a $$5$$ $$L$$ vessel, 2 moles of carbon monoxide and...
In KO<sub>2</sub>, the nature of oxygen species and the oxydation state of oxyge...
Lithium aluminium hydride reacts with silicon tetrachloride to form :
If x gram of gas is adsorbed by m gram of adsorbent at pressure P, the plot of l...
The correct order of electron affinity is :
The correct order of spin-only magnetic moments among the following is : <br>(A...
For a first order reaction, A $$\to$$ P, t<sub>1/2</sub> (half-life) is 10 day...
Two 5 molal solutions are prepared by dissolving a non-electrolyte non-volatile ...
In XeO<sub>3</sub>F<sub>2</sub>, the number of bond pair(s), $$\pi$$-bond(s) a...
In the leaching method, bauxite ore is digested with a concentrated solution of ...
The total number of possible isomers for square-planar [Pt(Cl)(NO<sub>2</sub>)(N...
Two compounds I and II are eluted by column chromatography (adsorption of I &gt;...
Which of the following statements is <b>not</b> true ?
The major product formed in the following reaction is : <br><br><img src="https...
On treatment of the following compound with a strong acid, the most susceptible...
The increasing order of the acidity of the following carboxylic acids is : <br>...
Which of the following best describes the diagram below of a molecular orbital ?...
When 2-butyne is treate with H<sub>2</sub>/Lindlar's catalyst, compound X is pr...
The increasing order of diazoisation of the following compounds is : <br><br><i...
The dipeptide, Gln-Gly, on treatment with CH<sub>3</sub>COCl followed y aqueous ...
The total number of optically active compounds formed in the following reactio i...
The major product formed in the following reaction is : <br><br><img src="https...

## Mathematics

If f(x) is a quadratic expression such that f (1) + f (2) = 0, and $$-$$ 1 is a ...
Let <i> f</i> : A $$\to$$ B be a function defined as f(x) = $${{x - 1} \over {... Suppose A is any 3$$ \times $$3 nonsingular matrx and ( A$$-$$3I) (A$$-$$5I... The number of four letter words that can be formed using the letters of the word... If |z$$-$$3 + 2i|$$ \le $$4 then the difference between the greatest value a... If the system of linear equations <br>x + ay + z = 3 <br>x + 2y + 2z = 6 <br>x ... The coefficien of x<sup>10</sup> in the expansion of (1 + x)<sup>2</sup>(1 + x<... If &nbsp;a, &nbsp; b, &nbsp; c&nbsp; are in A.P. and&nbsp; a<sup>2</sup>, &nbsp;... Let &nbsp;&nbsp; A<sub>n</sub> =$$\left( {{3 \over 4}} \right) - {\left( {{3 \o...
$$\mathop {\lim }\limits_{x \to 0} {{x\tan 2x - 2x\tan x} \over {{{\left( {1 - \... Let f(x) =$$\left\{ {\matrix{ {{{\left( {x - 1} \right)}^{{1 \over {2 - x}}}...
If &nbsp;&nbsp; f(x) = sin<sup>-1</sup> $$\left( {{{2 \times {3^x}} \over {1 + {... Let f(x) be a polynomial of degree$$4$$having extreme values at$$x = 1$$and ... The value of integral$$\int_{{\pi \over 4}}^{{{3\pi } \over 4}} {{x \over {1 +...
If &nbsp;&nbsp;$${I_1} = \int_0^1 {{e^{ - x}}} {\cos ^2}x{\mkern 1mu} dx;$$ <br>...
If &nbsp;&nbsp; $$\int {{{2x + 5} \over {\sqrt {7 - 6x - {x^2}} }}} \,\,dx = A\... The curve satifying the differeial equation, (x<sup>2</sup>$$-$$y<sup>2</sup>)... The sides of a rhombus ABCD are parallel to the lines, x$$-$$y + 2 = 0 and 7x ... The foot of the perpendicular drawn from the origin, on the line, 3x + y =$$\la...
The tangent to the circle C<sub>1</sub> : x<sup>2</sup> + y<sup>2</sup> $$-$$ 2x...
Tangents drawn from the point ($$-$$8, 0) to the parabola y<sup>2</sup> = 8x tou...
An angle between the lines whose direction cosines are gien by the equations, ...
A normal to the hyperbola, 4x<sup>2</sup> $$-$$ 9y<sup>2</sup> = 36 meets the co...
A player X has a biased coin whose probability of showing heads is p and a playe...
If the mean of the data : 7, 8, 9, 7, 8, 7, $$\lambda$$, 8 is 8, then the vari...
If the position vectors of the vertices A, B and C of a $$\Delta$$ ABC are resp...
A plane bisects the line segment joining the points (1, 2, 3) and ($$-$$ 3, 4, 5...
A tower T<sub>1</sub> of height 60 m is located exactly opposite to a tower T<su...
The number of solutions of sin3x = cos 2x, in the interval $$\left( {{\pi \ove... Consider the following two statements : <br><br><b>Statement p :</b> <br>The va... ## Physics A body of mass 2 kg slides down with an acceleration of 3 m/s<sup>2</sup> on a r... The characteristic distance at which quantum gravitational effects are significa... A proton of mass m collides elastically with a particle of unknown mass at rest.... A disc rotates about its axis of symmetry in a horizontal plane at a steady rate... Two Carnot engines A and B are operated in series. Engine A receives heat from a... When an air bubble of radius r rises from the bottom to the surface of a lake it... The value closest to the thermal velocity of a Helium atom at room temperature (... Two simple harmonic motions, as shown below, are at right angles. They are combi... 5 beats / econd are heard when a tuning fork is sounded with a sonometer wire un... A copper rod of cross-sectional area A carries a uniform current I through it. A... A parallel plate capacitor with area 200 cm<sup>2</sup> and separation between t... A solid ball of radius R has a charge density$$\rho $$<br>given by$$\rho $$... A man in a car at location Q on a straight highway is moving with speed$$\upsil...
A thin uniform bar of length $$L$$ and mass $$8$$ m lies on a smooth horizontal ...
A thin rod MN, free to rotate in the vertical plane aboutthe fixed end N, is hel...
As shown in the figure, forces of 10<sup>5</sup> N each are applied in opposite...
A capacitor C<sub>1</sub> = 1.0 $$\mu$$F is charged up to a voltage V = 60 V by...
<img src="https://imagex.cdn.examgoal.net/M76WVW9bP8roBIVXA/vsbN09Y5S8rGQT0ACZvT...
A plane polarized light is incident on a polariser with its pass axis aking angl...
Truth table for the following digital circuit will be : <br><br><img src="https:...
A current of 1 A is flowing on the sides of an equilateral triangle of side 4.5 ...
At the center of a fixed large circular coil of radius R, a much smaller circula...
A plane polarized monochromatic EM wave is traveling in vacuum along z direction...
A convergent doublet of separated lenses, corrected for spherical aberration, ha...
If the de Broglie wavelengths associated with a proton and an $$\alpha$$-partic...
An unstable heavy nucleus at rest breaks into two nuclei which move away with ve...
Muon ($$\mu$$<sup>$$-$$</sup>) is a negatively charged (|q| = |e|) particle wit...
A constant voltages is applied between two ends of a metallic wire. If the lengt...
The carrier frequency of a transmitter is provided by a tank circuit of a coil o...
A body takes 10 minutes to cool from 60<sup>o</sup>C to 50<sup>o</sup>C. The tem...

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