JEE Main 2020 (Online) 7th January Morning Slot

What is the product of following reaction ?

The increasing order to Pkb for the following compounds will be :

Match the following :
(i) Riboflavin    (a) Beriberi
(ii) Thiamine    (b) Scurvy
(iii) Pyridoxine   (c) Cheliosis
(iv) Ascorbic acid    (d) Convulsions

The dipole of CCl4, CHCl3 and CH4 are in the order :

Chlorine reacts with hot and concentrated NaOH and produces compounds (X) and (Y). Compound
(X) gives white precipitate with silver nitrate solution. The average bond order between CI and O
atoms in (Y) is.

The relative strength of interionic/intermolecular forces in decreasing order is :

During the nuclear explosion, one of the products is 90Sr with half life of 6.93 years. If 1 \(\mu\) g of 90Sr was absorbed in the bones of newly born baby in placed of Ca, how much time, in years, is required to reduce much time, in year,...

The number of chiral carbons in chloramphenicol is

Consider the following reaction :

The product 'X' is used :

The IUPAC name of complex [Pt(NH3)2Cl(NH2CH3)]Cl is:

The theory that can completely/properly explain the nature of bonding in [Ni(Co)4] is :

The atomic radius of Ag is closed to :

Given that the standard potentials (Eo) of Cu2+/Cu and Cu+/Cu are 0.34 V and 0.522 V respectively, the Eo of Cu2+/Cu+ :

1- methyl ethylene oxide when treated with an excess of HBr produces :

Consider the following reaction :
\({\left( {C{H_3}} \right)_3}CCH\left( {OH} \right)C{H_3}\buildrel {conc.\,\,\,{H_2}S{O_4}} \over \longrightarrow\)
$${\left( {C{H_3}} \right)_2}CHCH\left( {Br} \right)C{H_3}\buildrel {alc.\,\,KOH} \over
...

In comparison to the zeolite process for the removal of permanent hardness, the synthetic resins
method is :

Two solutions, A and B, each of 100L was made by dissolving 4g of NaOH and 9.8 g of H2SO4 in water, respectively. The pH of the resultant solution obtained from mixing 40L of solution A and 10L of solution B is :

The purest from of commercial iron is :

The electron gain enthalpy (in KJ/mol) of fluorine, chlorine, bromine and iodine, respectively are:

Oxidation number of potassium in K2O. K2O2 and KO2 respectively is :

A solution of m-chloronailimne, m-chlorophenol and m-chlorobenzoic acid in ethyal acetate was extracted initially with a saturated solution of NaHCO3
to give fraction A. The left over organic phase
was extracted with dilute NaoH solution t...

At 35oC, the vapour pressure of CS2
is 512 mm. Hg and that of acetone is 344 mm Hg. A solution
of CS2
in acetone has a total vapour pressure of 600 mm Hg. The false statement amongst the
following is :

Amongst the following statements, that which was not proposed by Dalton was :

The number of orbitals associated with quantum number n = 5, ms = +\({1 \over 2}\) is :

For the reaction :
A(\(l\)) \(\to\) 2B(g)
\(\Delta U = 2.1\,kcal,\,\Delta S = 20\,cal\,{K^{ - 1}}\) at 300 K
Hence \(\Delta\)G in kcal is :

Let P be a plane passing through the points (2, 1, 0), (4, 1, 1) and (5, 0, 1) and R be any point
(2, 1, 6). Then the image of R in the plane P is :

Let the function, ƒ:[-7, 0]\(\to\)R be continuous on [-7,0] and differentiable on (-7, 0). If ƒ(-7) = -
3 and ƒ'(x) \(\le\) 2, for all x \(\in\) (-7,0), then for all such functions ƒ, ƒ(-1) + ƒ(0) lies in the interval:

The area of the region, enclosed by the circle x2 + y2 = 2 which is not common to the region bounded by the parabola y2 = x and the straight line y = x, is:

If the sum of the coefficients of all even powers of x in the product (1 + x + x2
+ ....+ x2n)(1 - x + x2 - x3 + ...... + x2n) is 61, then n is equal to _______.

The greatest positive integer k, for which 49k + 1 is a factor of the sum 49125 + 49124 + ..... + 492 + 49 + 1, is:

If \({\mathop{\rm Re}\nolimits} \left( {{{z - 1} \over {2z + i}}} \right) = 1\), where z = x + iy, then the point (x, y) lies on a :

If ƒ(a + b + 1 - x) = ƒ(x), for all x, where a and b are fixed positive real numbers, then
\({1 \over {a + b}}\int_a^b {x\left( {f(x) + f(x + 1)} \right)} dx\) is equal to:

If y = y(x) is the solution of the differential equation, \({e^y}\left( {{{dy} \over {dx}} - 1} \right) = {e^x}\) such that y(0) = 0, then
y(1) is equal to:

Let xk + yk = ak, (a, k > 0 ) and \({{dy} \over {dx}} + {\left( {{y \over x}} \right)^{{1 \over 3}}} = 0\), then k is:

If \(y\left( \alpha \right) = \sqrt {2\left( {{{\tan \alpha + \cot \alpha } \over {1 + {{\tan }^2}\alpha }}} \right) + {1 \over {{{\sin }^2}\alpha }}} ,\alpha \in \left( {{{3\pi } \over 4},\pi } \right)\)
$${{dy} \over {d\alpha }}\,\,at\...

If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12,
then the length of its latus rectum is :

If g(x) = x2 + x - 1 and (goƒ) (x) = 4x2 - 10x + 5, then ƒ\(\left( {{5 \over 4}} \right)\) is equal to:

\(\mathop {\lim }\limits_{x \to 2} {{{3^x} + {3^{3 - x}} - 12} \over {{3^{ - x/2}} - {3^{1 - x}}}}\) is equal to_______.

Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x \(\in\) R is not differentiable. Then \(\sum\limits_{x \in S} {f(f(x))}\) is equal to_____.

The logical statement (p \(\Rightarrow\) q) \(\Lambda\) ( q \(\Rightarrow\) ~p) is equivalent to :

Let \(\alpha\) be a root of the equation x2 + x + 1 = 0 and the matrix A = \({1 \over {\sqrt 3 }}\left[ {\matrix{ 1 & 1 & 1 \cr 1 & \alpha & {{\alpha ^2}} \cr 1 & {{\alpha ^2}} & {{\alpha ^4}} \cr } } \right]\) then the ...

If the system of linear equations
2x + 2ay + az = 0
2x + 3by + bz = 0
2x + 4cy + cz = 0,
where a, b, c \(\in\) R are non-zero distinct; has a non-zero solution, then:

If y = mx + 4 is a tangent to both the parabolas, y2 = 4x and x2 = 2by, then b is equal to :

Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is :

An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value of k when k
consecutive heads are obtained for k = 3, 4, 5, otherwise X takes the value -1. Then the expected
value of X, is :

Let \(\alpha\) and \(\beta\) be two real roots of the equation (k + 1)tan2x - \(\sqrt 2\) . \(\lambda\)tanx = (1 - k), where k(\(\ne\) - 1)
and \(\lambda\) are real numbers. if tan2 (\(\alpha\) + \(\beta\)) = 50, then a value of $$...

Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five numbers is -\({1 \over 2}\) , then the greatest number amongst them is:

If the variance of the first n natural numbers is 10 and the variance of the first m even natural
numbers is 16, then m + n is equal to_____.

Let A(1, 0), B(6, 2) and C \(\left( {{3 \over 2},6} \right)\) be the vertices of a triangle ABC. If P is a Point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas, then the length of the line segment PQ, wher...

A vector \(\overrightarrow a = \alpha \widehat i + 2\widehat j + \beta \widehat k\left( {\alpha ,\beta \in R} \right)\) lies in the plane of the vectors, \(\overrightarrow b = \widehat i + \widehat j\) and $$\overrightarrow c = \wideha...