JEE - Rao IIT...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 12 January-19 Slot- II /...

RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 12 January-19 Slot- II / Solutions

/ JEE MAINOFFICIAL ONLINE

EXAM / 12 January19Slot II / Solutions

Date: 12 Jan 2019

Rao IIT Academy Website : www.raoiit.com1


1. Di�iculty : Easy

Topics :

Physics,

before collision conservation of momentum

---- (1)

coe�icient of restitution

---- (2)

partical scattered backward losing initial energy

of

---- (3)

by equation (1) and (2) and (3)

2.Di�iculty : Easy

Topics :

Physics,

Covering range

of TV tower



3.Di�iculty : Medium

Topics :

Physics,

Let end correction ise

Case - I ----- (1)

Case - II ---- (2)



4. Di�iculty : Medium

Topics :

Physics,

Block is at rest when force is applied in downward

from :-

--- (1)

When force is applied on the block but still it is not moved

From :-

----- (2)

Equation (1) is divided by equation (2)



5. Di�iculty : Di�icult

Topics :

Physics,

BONUS

Let phase di�erence between and current in branch is

(current in lagging by to the voltage)

phase di�erence between and current in branch is

In the case of capacitor current is leading by to voltage so phase di�erence between




Topics :

Physics,

Given that volume is increases with time at a constant rate

( proportional constant)

Pressure inside the soap bubble when surface tension is and atmospheric pressure is

So graph between and

is straight line


Topics :

Physics,

BONUS

Energy of incident photon

---- (1)

---- (2)

By equation (1) and (2)



8.Di�iculty : Di�icult

Topics :

Physics,

By parallel axis theoran

graph between and is a parabola and curve moves toward




Topics :

Physics,

Conservation of energy

?

angular momentum at point about point


Topics :

Physics,

From figure, (at node S) by KCL

---- (1)

at point

at node (by RCL)

amp




Topics :

Physics,


Topics :

Physics,

Plano - convex lens

------ (1)

Plano - concave lens

----- (2)

When they joined together




Topics :

Physics,

Slope of graph gives current,therefore

Since at t = 4 sec , slope is zero hence current at 4 sec will be zero


Topics :

Physics,

When whole setup is immersed in water without disturbing the object and screen position, focal length of the lens will bechanges (decreases ), due to which image will not formed on the screen


Topics :

Physics,

Relation between susceptibility and temperature




Topics :

Physics,

by KUL in C-E junction (output)

by KUL in B-E junction (in put)


Topics :

Physics,




Topics :

Physics,

Hence and element is PB




Topics :

Physics,

Mean free path of a gas molecules is

..............(1)

Where n = number of molecules per unit volume

and ..............(2)

Where average speed of molecules

Time between collisions

No. of molecule

by equation (1) & (2)

................(3)

We know that

..................(4)

equation (3) & (4) , we get




Topics :

Physics,

induced emf


Topics :

Physics,




Topics :

Physics,

.....................(1)

Let ................(2)

...........(3)

by equation (2) & (3)

Put the value in equation (1)

......................(4)

amplitude of SHM is 10 cm

from equation

Time period,




Topics :

Physics,

Given

Since is less compare to so lover part of the cylinder exerts more pressure (say ). Let area of the piston is A


Topics :

Physics,

Electric field

Charge on each plate ,




Topics :

Physics,

rms value of megnetic field


Topics :

Physics,

Initial length of steel wire change in length when it coaded with mass

Relative density of material of load is

Relative density of density is

----- (1)

When load is fully immersed in greater than change in length of wire

---- (2)

By equation (1) & (2)

dic




Topics :

Physics,

Kinetic energy of satellite

Kinetic energy for satellite is ---- (1)

Kinetic energy for satellite is ---- (2)

So,


Topics :

Physics,

Height between the centre and the side is given by

rotation per sec




Topics :

Physics,

Both the particle starts rotating with same angular speed in opposite direction. A�er the rotation their velocities will be

as shown in figure

Relative velocity


Topics :

Physics,

dimension of industance




dimension of

1. Di�iculty : MediumTopics :Coordination Compounds,

is relatively weak field ligand among given ligands and forms high spin complex of radical.


CHEMISTRY



Topics :

Liquid Solutions,


Topics :

Atomic Structure,


Topics :

F-block,

Elements Atomic Radii

is smaller size element amongs given lanthanoids




Topics :

Hydrocarbon,


Topics :

BIOMOLECULES ,

I, II, II are correct

All statement are function of potassium ion in biological system and are correct.


Topics :

Gaseous State,

For isothermal expansion, pressure is inversely proportionate to volume. Internal energy is constant under varying volumeconditions.

(B) and (D) are incorect


Topics :

Metallurgy,

and already in oxide form so calcination not required for element extractions.




Topics :

Liquid Solutions,


Topics :

Polymers,


Topics :

Gaseous State,

Assuming constant conditions of pressure and volume,




Topics :

BIOMOLECULES ,

At Histidine has folowing structure


Topics :

S-block,

Redox reaction between and is known as disproportionation.


Topics :

CHEMISTRY IN EVERYDAY LIFE,

Latex is a colloidal solution of negatively charged rubber particle but positive or negative charge depends on medium.


Topics :

Alkyl halides,




Topics :

Thermodynamics,

--------------------------------------------------------


Topics :

GOC,

stands for leaving group.

Rate of reaction Leaving group tendency

Leaving group tendency order is as follow


Topics :

GOC,

As grignard reagent acts as a strong bases it will accept active proton and breakdown

(Active reaction)




Topics :

Ionic equilibrium,

is common ion in the solution.


Topics :

CARBONYLS,

does not reduce double bond


Topics :

Liquid Solutions,

molal




Topics :

Hydrocarbon,

As per option given best answer is


Topics :

Volumetric analysis,

At STP conditions Volumes of

Volumes of

volumes


Topics :

Chemical Bonding,

Carbon has small size and shows high tendency to form multiple bond in carbon family.


Topics :

Alcohols,




Topics :

Chemical equilibrium,

From graph

at

at


Topics :

P-block,

does not show catenation because of weak metalic bond


Topics :

Environmental Chemistry,

chlorofluorocarbon is not a part of photochemical smog. Primary pollutant of photochemical smog includesnitrogen oxide, nitrogen dioxide and volatile organic compounds. While secondary pollutant includes PAN(peroxyacyl nitrate),tropospheric ozone, aldehyde and .


Topics :

Environmental Chemistry,

Ozone layer absorbs ultraviolet-radiations having wavelength range from to




Topics :

Chemistry,

1.

Di�iculty : EasyTopics :Parabola, Equation of tangent to is

Here,


Topics :

Complex Numbers,

Locus of are as shown. Hence

with equality occuring at the point of contact.


MATHEMATICS



Topics :

Height & Distance,


Topics :

Straight lines,Circles,CO-ORDINATE GEOMETRY,

Let the equation of in normal form be

Foot of perpendicular will be

Now

Also

i.e.




Topics :

Probability,


Topics :

Sequence & Series,Binomial Theorem,




Topics :

Mathematics,

lies on it

lies on it and other points in the option don't


Topics :

PERMUTATION AND COMBINATION,




Topics :

TRIGONOMETRY,

Alternately Apply

Equality occurs & Proceed.


Topics :

Mathematical reasoning,

hence


Topics :

Probability,

The man can win (Win), (Loss,Win), (Loss,Loss,Win) or (Loss,Loss,Loss) with followingprobabilities




Topics :

STATISTICS,


Topics :

Straight lines,

The point of intersection of the line on axis will be

Equation will be


Topics :

SETS, RELATION AND FUNCTIONS,

No. of subsets




Topics :

Application of derivatives,

Now


Topics :

Indefinite integration,


Topics :

Sequence & Series,




Topics :

Definite integration,

Put


Topics :

Matrices Multiplications,


Topics :

Three Dimensional Geometry,

Angle




Topics :

Three Dimensional Geometry,

Equation of plane is just by observation lies on it


Topics :

Mathematics,

or

as


Topics :

Definite integration,




Topics :

Binomial Theorem,

For rational terms,

rational terms

As total terms irrational terms


Topics :

Mathematics,

As is increasing in

decreasing in

has local maxima at i.e.




Topics :

Determinants & Matrices,

Non trivial solution


Topics :

Ellipse,




Topics :

Vectors,


Topics :

Limits,

Put as




Topics :

Parabola,

Point of contact .

Point Satisfies & not others.


JEE - Rao IIT...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 12 January-19 Slot- II /...

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