List of top Questions asked in JEE Main- 2022

If force \(\vec F=3\hat i+4\hat j−2\hat k\) acts on a particle having position vector \(2\hat i+\hat j+2\hat k\) then, the torque about the origin will be
A radio can tune to any station in 6 MHz to 10 MHz band. The value of corresponding wavelength bandwidth will be
 A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms–1. The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is[use g = 9.8 ms–2]
 NCC parade is going at a uniform speed of $9\, km / h$ under a mango tree on which a monkey is sitting at a height of $196\, m$ At any particular instant, the monkey drops a mango A cadet will receive the mango whose distance from the tree at time of drop is : (Given g= 9.8 m/s2)
A solid cylinder and a solid sphere, having same mass M and radius R, roll down the same inclined plane from top without slipping They start from rest The ratio of velocity of the solid cylinder to that of the solid sphere, with which they reach the ground, will be :
Given below are two statements :
Statement I: In polluted water values of both dissolved oxygen and BOD are very low.
Statement II: Eutrophication results in decrease in the amount of dissolved oxygen.
In the light of the above statements, choose the most appropriate answer from the options given below :
Which of the following statement is correct ?
In two different experiments, an object of mass $5\, kg$ moving with a speed of $25 \,ms ^{-1}$ hits two different walls and comes to rest within
(i) 3 second, 
(ii) 5 seconds, respectively.
Choose the correct option out of the following :
The compound(s) that is(are) removed as slag during the extraction of copper is : 
  1. \(CaO\) 
  2.  \(FeO\) 
  3.  \(Al _2 O _3\) 
  4.  \(ZnO\)
  5.  \(NiO\) 
    Choose the correct answer from the options given below :
A balloon has mass of 10 g in air The air escapes from the balloon at a uniform rate with velocity 4.5 cm/s If the balloon shrinks in 5 s completely Then, the average force acting on that balloon will be (in dyne)
Two projectile thrown at $30^{\circ}$ and $45^{\circ}$ with the horizontal respectively, reach the maximum height in same time The ratio of their initial velocities is
If \(\displaystyle\lim _{n \rightarrow \infty}\left(\sqrt{n^2-n-1}+n \alpha+\beta\right)=0 \) then \(8(\alpha+\beta)\) is equal to :
Choose the correct order of density of the alkali metals :
The interhalogen compound formed from the reaction of bromine with excess of fluorine is a :
The photochemical smog does not generally contain :
A screw gauge of pitch $05 \,mm$ is used to measure the diameter of uniform wire of length $68 \,cm$, the main scale reading is $15\, mm$ and circular scale reading is $7$. The calculated curved surface area of wire to appropriate significant figures is :[Screw gauge has $50$ divisions on the circular scale]
If the radius of earth shrinks by $2 \%$ while its mass remains same The acceleration due to gravity on the earth's surface will approximately :
Refining using liquation method is the most suitable for metals with :
Which of the following can be used to prevent the decomposition of $H _2 O _2$ ?
Reaction of \(BeCl _2\) with \(LiAlH _4\) gives: Choose the correct answer from options given below : 
  1. \(AlCl _3\)
  2. \(BeH _2\)
  3. \(LiH\)
  4. \(LiCl\)
  5. \(BeAlH _4\)
     
The area of the region given by \(A =\left\{( x , y ): x ^2 \leq y \leq \min \{ x +2,4-3 x \}\right\}\) is :
A Carnot engine has efficiency of $50 \%$ .If the temperature of sink is reduced by $40^{\circ} C$, its efficiency increases by $30 \%$ .The temperature of the source will be :
Which of the given reactions is not an example of disproportionation reaction?
The dark purple colour of $KMnO _4$ disappears in the titration with oxalic acid in acidic medium. The overall change in the oxidation number of manganese in the reaction is :
$\dot{ C } l + CH _4 \rightarrow A + B$. $A$ and $B$ in the above atmospheric reaction step are