JEE Main 2019 (Online) 11th January Morning Slot

The major product of the following reaction is :

The major product of the following reaction is

The major product of the following reaction is :

The correct match between items I and II is :

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Among the following compounds, which one is found in RNA ?

Consider the reaction
N2(g) + 3H2(g) \(\rightleftharpoons\) 2NH3(g)
The equilibrium constant of the above reaction is Kp. If pure ammonia is left to dissociate, the partial pressure of ammonia at equilibrium is given by (Assume that PNH3 ...

If a reaction follows the Arrhenius equation, the plot ln k vs \({1 \over {\left( {RT} \right)}}\) gives straight line with a gradient (\(-\) y) unit.
The energy required to active the reactant is :

The correct match between item (I) and item (II) is :

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The major product of the following reaction is :

Match the metals (column I) with the coordination compound(s)/enzyme(s) (column II)

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The element that usually does NOT show variable oxidation states is :

For the cell Zn(s) |Zn2+ (aq)| |Mx+ (aq)| M(s), different half cells and their standard electrode potentials are given below :

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The concentration of dissolved oxygen (DO) in cold water can go upto :

Peroxyacetyl nitrate (PAN), an eye irritant is produced by :

Which compound (s) out of the following is/are not aromatic ?

NaH is an example of :

The correct statements among (a) to (d) regarding H2 as a fuel are :
(a)   It produces less pollutants than petrol.
(b)   A cylinder of compressed dihydrogen weighs \(\sim\) 30 times more than a petrol tank producing the same amount of en...

Match the ores (column A) with the metals (column B) :

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The chloride that CANNOT get hydrolysed is :

The correct order of the atomic radii of C, Cs, Al, and S is :

The polymer obtained from the following reaction is :

The amphoteric hydroxide is :

A solid having density of 9\(\times\)103 kg m–3 forms face centred cubic crystals of edge length \(200\sqrt 2\) pm. What is the molar mass of the solid?
[Avogadro constant \(\cong\) 6 \(\times\) 1023 mol–1
, \(\pi\) \(\cong\) 3]

The freezing point of a diluted milk sample is found to be –0.2oC, while it should have been –0.5oC for pure milk. How much water has been added to pure milk to make the diluted sample?

An organic compound is estimated through Duma's method and was found to evolve 6 moles of CO2. 4 moles of H2O and 1 mole of nitrogen gas. The formula of the compound is :

A 10 mg effervescent tablet containing sodium bicarbonate and oxalic acid releases 0.25 ml of CO2 at T = 298.15 K and p = 1 bar. If molar volume of CO2 is 25.0 L under such condition, what is the percentage of sodium bicarbonate in each tab...

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is suitable for this purpose?
[RH = 1 \(\times\) 105 cm–1, h = 6.6 \(\times\) 10–34 Js, c = 3 \(\times\) 108 ms–1]

An example of solid sol is :

Two blocks of the same metal having same mass and at temperature T1 and T2, respectively, are brought in contact with each other and allowed to attain thermal equilibrium at constant pressure. The change in entropy, \(\Delta\)S, for this p...

For the chemical reaction X \(\rightleftharpoons\) Y, the standard reaction Gibbs energy depends on temperature T (in K) as
\(\Delta\)rGo (in kJ mol–1) = 120 \(- {3 \over 8}\) T.
The major component of the reaction mixture at T is :

The plane containing the line \({{x - 3} \over 2} = {{y + 2} \over { - 1}} = {{z - 1} \over 3}\) and also containing its projection on the plane 2x + 3y \(-\) z = 5, contains which one of the following points ?

The direction ratios of normal to the plane through the points (0, –1, 0) and (0, 0, 1) and making an angle \({\pi \over 4}\) with the plane y \(-\) z + 5 = 0 are :

The maximum value of the function f(x) = 3x3 – 18x2 + 27x – 40 on the set S = \(\left\{ {x\, \in R:{x^2} + 30 \le 11x} \right\}\) is :

The area (in sq. units) of the region bounded by the curve x2 = 4y and the straight line x = 4y – 2 is :

The sum of the real values of x for which the middle term in the binomial expansion of \({\left( {{{{x^3}} \over 3} + {3 \over x}} \right)^8}\) equals 5670 is :

The value of r for which 20Cr 20C0 + 20Cr\(-\)1 20C1 + 20Cr\(-\)2 20C2 + . . . . .+ 20C0 20Cr  is maximum, is

The straight line x + 2y = 1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then the sum of perpendicular distances from A and B on the tangent to the circle at the origin is :

A square is inscribed in the circle x2 + y2
– 6x + 8y – 103 = 0 with its sides parallel to the coordinate axes.
Then the distance of the vertex of this square which is nearest to the origin is :

Two circles with equal radii are intersecting at the points (0, 1) and (0, –1). The tangent at the point (0, 1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is :

Let \({\left( { - 2 - {1 \over 3}i} \right)^3} = {{x + iy} \over {27}}\left( {i = \sqrt { - 1} } \right),\,\,\) where x and y are real numbers, then y \(-\) x equals :

The value of the integral \(\int\limits_{ - 2}^2 {{{{{\sin }^2}x} \over { \left[ {{x \over \pi }} \right] + {1 \over 2}}}} \,dx\) (where [x] denotes the greatest integer less than or equal to x) is

If y(x) is the solution of the differential equation \({{dy} \over {dx}} + \left( {{{2x + 1} \over x}} \right)y = {e^{ - 2x}},\,\,x > 0,\,\) where \(y\left( 1 \right) = {1 \over 2}{e^{ - 2}},\) then

If  xloge(logex) \(-\) x2 + y2 = 4(y > 0), then \({{dy} \over {dx}}\) at x = e is equal to :

If tangents are drawn to the ellipse x2 + 2y2 = 2 at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve :

Let f : R \(\to\) R be defined by f(x) = \({x \over {1 + {x^2}}},x \in R\).   Then the range of f is :

Let fk(x) = \({1 \over k}\left( {{{\sin }^k}x + {{\cos }^k}x} \right)\) for k = 1, 2, 3, ... Then for all x \(\in\) R, the value of f4(x) \(-\) f6(x) is equal to

Equation of a common tangent to the parabola y2 = 4x and the hyperbola xy = 2 is :

If  \(\int {{{\sqrt {1 - {x^2}} } \over {{x^4}}}}\) dx = A(x)\({\left( {\sqrt {1 - {x^2}} } \right)^m}\) + C, for a suitable chosen integer m and a function A(x), where C is a constant of integration, then (A(x))m equals :

Let [x] denote the greatest integer less than or equal to x. Then $$\mathop {\lim }\limits_{x \to 0} {{\tan \left( {\pi {{\sin }^2}x} \right) + {{\left( {\left| x \right| - \sin \left( {x\left[ x \right]} \right)} \right)}^2}} \over {{x^2}}...

Let \(f\left( x \right) = \left\{ {\matrix{ { - 1} & { - 2 \le x < 0} \cr {{x^2} - 1,} & {0 \le x \le 2} \cr } } \right.\) and
\(g(x) = \left| {f\left( x \right)} \right| + f\left( {\left| x \right|} \right).\)
Then, in the ...