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RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- I / Solutions

/ JEE MAINOFFICIAL ONLINE

EXAM / 10 January19Slot I / Solutions

Date: 10 Jan 2019

Rao IIT Academy Website : www.raoiit.com1


1. Di�iculty : Easy

Topics :

Modern Physics,

2.Di�iculty : Easy

Topics :

Wave optics,

put

We get



3. Di�iculty : Medium

Topics :

Rotational Motion,


Topics :

Electromagnetic Induction( EMI ),

Work done

[No option match]




Topics :

Kinematics,

Momentum conservation:

From top of building height is



6.Di�iculty : Medium

Topics :

Work ,Energy and power,

Rest


Topics :

Kinematics,




Topics :

Sound wave,

msas per unit length

Separation between succesive modes


Topics :

Current electricity,



10. Di�iculty : Di�icult

Topics :

Rotational Motion,

...(1)

From equation (1)




Topics :

Sound wave,


Topics :

Ray Optics,

...(1)

...(2)

Equation (1) Equation (2)




Topics :

MAGNETISM,


Topics :

Electrostatics,




Topics :

Gravitation,


Topics :

Logical Gates,

Output is 1 when


Topics :





Topics :

MAGNETISM,


Topics :

Electromagnetic Induction( EMI ),


Topics :

Thermodynamics,

on solving we get option (4)


Topics :


tolerance




Topics :

Units,Dimensions & Error analysis,


Topics :

Vectors,

As vector can be parallely moved.


Topics :

Modern Physics,

Count Rate




Topics :

Electrostatics,


Topics :

Fluids,


Topics :

HEAT,




Topics :

Communication systems,


Topics :



Topics :

Capacitors,


Topics :

Periodic Table,

Electronegativity of is similar to as per the diagonal relationship.


CHEMISTRY



Topics :

Atomic Structure,

K.E. of photoelectrons and frequency of light are directly proportional but graph does not pass through origin It's astraight line having positive slope but negative y-intercept.


Topics :

Phenols,Alcohols,Ethers,




Topics :

CARBOXYLIC ACIDS AND ITS DERIVATIVES,

is less reactive to give anhydride.

Becuase of force rotation of single bond collision of group become di�icult.


Topics :

F-block,

Lanthanoid contraction is due to poor screening e�ect of subshell directions, resulting in decrease in both atomic and

ionic radii of 6th period elements.




Topics :

Thermodynamics,

Gibb's Helmholtz equation

For stationary

Hence temperature must be more than for spontanuity.


Topics :

BIOMOLECULES ,

Amino acid Alcoholic group acylated.


Topics :

Nuclear chemistry,

Beryllium is a metal that has low-density, low atomic mass and very low adsorption of X-rays, making pre�ered choice forX-ray tube window.




Topics :

Ionic equilibrium,

Moles given:

As per the values given is the limiting reagent.

Moles of formed

Mass of formed

Assuming le� is undissolved in solution as it forms saturated solution,


Topics :

Environmental Chemistry,

Higher is the (Biochemical oxygen demand) value in or Higher is pollutions level.


Topics :

Metallurgy,

Hall-Heroult's process is involving smelting of to by using fused coke as anode.

Cathode :

Anode :

overall




Topics :

Hydrogen,

There are isotopes of hydrogen .

Tritium isotope is radioactive due to high ratio.


Topics :

Coordination Compounds,

Wilkin son's catalyst is chlorido tris (triphenylphosphine) rhodium (I) i.e., is the complex catalyst.


Topics :

Chemical Bonding,

As per MOT, the electronic configuration of is :

which means and half sigma bond in radical.


Topics :

GOC,

Dichloromethane is having more specific gravity than water. In the di�erential extraction technique DCM forms lower while forms upper layer in the separating funnel.




Topics :

Solutions and its colligative properties,

As per Raoult's Dalton's law


Topics :

Surface Chemistry,

Combustion of coal is not an example of heterogenous catalytic reaction.


Topics :

Phenols,

Acidic strength

Acidic strength




Topics :

CARBOXYLIC ACIDS AND ITS DERIVATIVES,

Presence of EWG (Electron withdrawing group) on benzene ring.

Increase the rate of alkaline hydrolysis. Rate if alkaline hydrolysis.

Rate of alkaline hydrolysis EWG on benzene ring.


Topics :

Chemical equilibrium,


Topics :

Solid State,

In Triclinic crystalline solid all the primitives and angles are di�erent and no interfacial angle is

and




Topics :

Chemical Bonding,

has 5 bond pairs and 1 lone pair

Hybridisation

Shape Square pyramidal


Topics :

Electrochemistry,

Reducing power is inversely proportional to SRP values. The metal having lowest SRP value has highest reducing power.

Overall order :


Topics :

Hydrocarbon,

Allylic radical is more stable.


Topics :

Chemical Kinetics,

As per Arrhenious equation

Hence rate constant is inversely proportional to but directly proportional to temperature

while

Hence graph I is correct but graph II is wrong.




Topics :

Coordination Compounds,

have 3 Geometrical isomers.

and are ambidentate ligands.

Therefore, total number of isomers


Topics :

Hydrogen & Its compound,

(Hydrogen peroxide) is acting as oxidising as well as reducing agent in both acidic and basic medium.


Topics :

Alkyl halides,Aryl halide,




Topics :

AMINES,

BONUS: No correct option given.


Topics :

Aldehydes,Ketones,

does not reduce double bond and




Topics :

Probability,

Probability of tossed outcome is head and sum of number on the card is either or

_______________ (I)

Probability of tossed out come is tail and number on picked card is either or

__________ (II)

So probability of noted number is either or is


Topics :

Straight lines,

In-centre


MATHEMATICS



Topics :

Definite integration,

As the figure lies below x-axis in an interval so integration value will be minimum in that internal.


Topics :

Circles,

Clearly

____________ (I)

Also slope of Slope of

from (I) and (II)

Hence radius of circle is




Topics :

Determinants,

In determinant (A) change

determinant

So minimum value of determinant given

6 Di�iculty : Easy

Topics :

Straight lines,

Let centroid of the triangle is

___________ (I)

and ___________ (II)

use (I) and (II) in given line so locus of the centroid is which is a straight with slope




Topics :

Area under curve,

Clearly given two parabolas are symmetric about so their intersection points will be and

Hence required area

(given)


Topics :

Hyperbola,

Slope of tangent is ____________ (I)

___________ (II)

From (I) and (II)

and ____________ (IV)

that is and

Equation of tangent parallel to is ___________ (V)

Using (IV) in (V) we have

hence equation of tangent are




Topics :

Physics,

Let ___________ (I)

where and

___________ (II)

____________ (III)

_____________ (IV)

from (II) and (III) and

Hence


Topics :

Height & Distance,

Length of median

In height angle triangle


Topics :

Sequence & Series,




Topics :

Binomial Theorem,

of is

____________ (I)

Use log both sides with base

or


Topics :

Trigonometric Equations,

Let

where

sum of all values of is

sum of all values of is




Topics :

Parabola,

Equation of normal parabola whose slope is is,

_________ (I)

Equation of normal parabola where slope is

or

If then infinite values of exist so every options will be true

If then


Topics :

Vectors,

Any point on line is and point

of are Which is parallel to the plane




Topics :

ContinuityDi�erentiability & Derivatives,

Clearly not di�erentiable at


Topics :

Three Dimensional Geometry,

Equation of plane passing through point is:

----------- (1)

also parallel to lines &

&

Hence equation of plane is

which satisfying option (A) .




Topics :

Mathematics,

Topic : Set Theory

(Number of students who opt at least one subject)

Hence number of students who did not opt any of three subject


Topics :

Vectors,

------(i)

-----------(ii)

--------(iii)

Equation (i) , (ii), (iii) satisfying option (D)




Topics :

Binomial Theorem,


Topics :

Limits,

as

So given limit will be




Topics :

Mathematical reasoning,

which is prime

& also prime

Hence option (D) is the correct option.


Topics :

Complex Numbers,

Let

Which not satisfying any of the given option.

Note: (Bonus marks will be given)




Topics :

Application of derivatives,

Any point on the curve

is

Slope of normal is

Now


Topics :

Sequence & Series,

If then be the greatest side .

As are length of the sides of the sides of a triangle then

Hence but can be or

If then will be greatest side

so can be

Hence option (C) is the correct option.




Topics :

STATISTICS,

Let two unknown obeservation are and -------(i)

Also

------------(ii)

From (i) and (ii)

Hence their ratios are


Topics :

Indefinite integration,

Let

So given integration can be rewrite as




Topics :

Di�erential Equations,

as




Topics :

Quadratic Equations,

As one root lies in & other in then also

---------(i)

Also

----------(ii)

from (i) and (ii)

Hence no. of integers are


Topics :

Determinants,

---------(i)

---------(ii)

-------(iii)

then we can express any one equation as linear combination of other equations.


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