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JEE Main 2020 Question Paper with Solution (8th January - Evening) - JEE MCQ


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30 Questions MCQ Test - JEE Main 2020 Question Paper with Solution (8th January - Evening)

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 1

Find magnetic field at O.

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 1





JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 2

Position of particle as a function of time is given as . Choose correct statement about and whereare velocity and acceleration of particle at time t.

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 2


 
= ω (–sinωt cosωt + cosωt sinωt) = 0
so 

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 3

​A Carnot engine, having an efficiency of η = 1/10 as heat engine, is used as a refrigerator. If the work done on the system is 10 J, the amount of energy absorbed from the reservoir at lower temperature is

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 3

For Carnot engine using as refrigerator

It is given η = 1/10
⇒ 
⇒ 
So, Q2 = 90 J    (as W = 10 J)

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 4

Two uniformly charged solid spheres are such that E1 is electric field at surface of 1st sphere due to itself. E2 is electric field at surface of 2nd sphere due to itself. r1, r2 are radius of 1st and 2nd sphere respectively. If then ratio of potential at the surface of spheres 1st and 2nd due to their self charges is:

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 5

Output at terminal Y of given logic circuit. 

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 6

Velocity of a wave in a wire is v when tension in it is 2.06 × 104 N. Find value of tension in wire when velocity of wave become v/2

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 6





= 0.515 × 104 N

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 7

n mole of He and 2n mole of O2 is mixed in a container. Then  will be

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 8

​A uniform solid sphere of radius R has a cavity of radius 1m cut from it if centre of mass of the system lies at the periphery of the cavity then

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 8




Alternative: 

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 9

A solid sphere of mass m= 500gm is rolling without slipping on a horizontal surface. Find kinetic energy of a sphere if velocity of centre of mass is 5 cm/sec.

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 9


K.E. of the sphere = Translational K.E + Rotational K.E.

K =  Radius of gyration

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 10

Two liquid columns of same height 5m and densities ρ and 2ρ are filled in a container of uniform cross sectional area. Then ratio of force exerted by the liquid on upper half of the wall to lower half of the wall is.

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 11

Two square plates of side 'a' are arranged as shown in the figure. The minimum separation between plates is 'd' and one of the plate is inclined at small angle α with plane parallel to another plate. The capacitance of capacitor is (given α is very small)

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 12

​In YDSE path difference at a point on screen is λ/8. Find ratio of intensity at this point with maximum 
intensity.

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 13

In the given circuit switch is closed at t = 0. The charge flown in time t = TC (where TC is time constant).

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 14

A particle is dropped from height h = 100 m, from surface of a planet. If in last 1/2 sec of its journey it covers 19 m. Then value of acceleration due to gravity that planet is :

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 14



Area of shaded trapezium
........(i)
......... (ii)



g = 8 m/s2

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 15

A charge particle of mass m and charge q is released from rest in uniform electric field. Its graph between velocity (v) and distance travelled (x) will be : 

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 16

An object is moving away from concave mirror of focal length f starting from focus. The distance of an object from pole of mirror is x. The correct graph of magnitude of magnification(m) verses distance x is:

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 16

At focus, magnification is ∞ 

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 17

​In full scale deflection current in galvanometer of 100 Ω resistance is 1 mA. Resistance required in series to convert it into voltmeter of range 10 V.

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 18

There are two identical particles A and B. One is projected vertically upward with speed √2gh from ground and other is dropped from height h along the same vertical line. Collision between them is perfectly inelastic. Find time taken by them to reach the ground after collision in terms of .

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 18


time for collision
After t1

and 
at the time of collision 

and height from ground 
so time 

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 19

​Length of a simple pendulum is 25.0 cm and time of 40 oscillation is 50 sec. If resolution of stop watch is 1 sec then accuracy is g is (in %)

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 20

An electron is moving initially with velocityin uniform electric field . If initial wavelength of electron is λ0 and mass of electron is m. Find wavelength of electron as a function of time.

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 20

Initially m 
Velocity as a function of time = 
so wavelength 

*Answer can only contain numeric values
JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 21

An asteroid of mass m (m << mE) is approaching with a velocity 12 km/s when it is at distance of 10 R from the centre of earth (where R is radius of earth). When it reaches at the surface of Earth, its velocity is (Nearest Integer) in km/s.


Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 21


= 16.028 km/s

*Answer can only contain numeric values
JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 22

In H–spectrum wavelength of 1st line of Balmer series is λ = 6561Å. Find out wavelength of 2nd line of same series in nm.


Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 22



= 4860 Å = 486 nm

*Answer can only contain numeric values
JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 23

There are three containers C1, C2 and C3 filled with same material at different constant temperature. When we mix then for different volume then we get some final temperature as shown in the below table. So find value of final temperature θ as shown in the table.


Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 23

............(i)
.......(ii)
.........(iii)
and θ1 + θ2 + θ3 = (1 + 1 + 1)θ....(iv)
from (1) + (2) + (3)
1 + 3θ2 + 3θ3 = 450
⇒ θ1 + θ2 + θ3 = 150
from (4) equation 150 = 3θ
θ = 50ºC

*Answer can only contain numeric values
JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 24

Two batteries (connected in series) of same emf 10 V of internal resistances 20Ω and 5Ω are connected to a load resistance of 30Ω. Now an unknown resistance x is connected in parallel to the load resistance. Find value of x so that potential drop of battery having internal resistance 20Ω becomes zero.


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*Answer can only contain numeric values
JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 25

An EMW is travelling along z-axis.

& Frequency of wave is 25 Hz, then electric field in volt/m.


Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 25

E/B = c
E = B × c
= 15 N/c

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 26

​Correct bond energy order of following is

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 27

Determine Bohr's radius of Li2+ ion for n = 2. Given (Bohr's radius of H-atom = a0)

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 27


For Li2+ 

JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 28

Given the following reaction sequence

A & B are respectively 

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JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 29

​Correct order of magnetic moment (spin only) for the following complexes
(a) [Pd(PPh3)2Cl2]           
(b) [Ni(CO)4
(c) [Ni(CN)4]2–                      
(d)[Ni(H2O)6]2+

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 29



JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 30

​Determine total number of neutrons in three isotopes of hydrogen.

Detailed Solution for JEE Main 2020 Question Paper with Solution (8th January - Evening) - Question 30

Number of neutrons

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