Recent questions in JEEMAIN PAST PAPERS

If two soap bubbles of different radii are connected by a tube,

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Spherical balls of radius R are falling in a viscous fliud of viscosity $\eta$ with a velocity v. The retarding viscous force acting on the spherical ball is

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A wire fixed at the upper end stretches by length $\ell$ by applying a force $F$. The work done in stretching is

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Suppose the gravitational force varies inversely as the $n^{th}$ power of distance. Then the time period planet in circular orbit of radius $R$ around the sun will be proportional to

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If $g$ is the acceleration due to gravity on the earth's surface, the gain in the potential energy of object of mass $m$ raised from the surface of the earth to a height equal to the radius $R$ of the earth is

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The time period of an earth satellite in circular orbit is independent of

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A satellite of mass $m$ revolves around the earth of radius $R$ at a height $x$ from its surface. If $g$ is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is

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One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively $I_A$ and $I_B$ such that where $d_A$ and $d_B$ are their densities.

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A ball is thrown from a point with a speed $v_{_0}$ at an angle of projection $\theta$. From the same point and at the same instant person starts running with a constant speed $v_{_0}/2$ to catch the ball. Will the person be able to catch the ball ? If yes, what should be the angle of projection ?

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A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which one of the following will not be affected ?

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A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particle takes place in a plane. It follows that

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A body of mass $m$, accelerates uniformly from rest to $v_1$ in time $t_1$. The instantaneous power delivered to the body as a function of time $t$ is

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A force $\overrightarrow{F} = (5\hat{i} +3 \hat{j} +2 \hat {k})N$ is applied over a particle which displaces it from its origin to the point $\overrightarrow{r} = (2 \hat{i} - \hat{j})m$. The work done on the particle in joules is

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A block rests on a rough inclined plane making an angle of $30^{\circ} $ with the horizontal. The coefficient of static friction between the block and the plane is $0.8$. If the frictional force on the block is $10\; N$, the mass of the mass of the block (in kg) is (take $g=10\;m/s^2$)

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A uniform chain of length $2\; m$ is kept on a table such that a length of $60\; cm$ hangs freely from the edge of the table. The total mass of the chain is $4\; kg$. What is the work done in pulling the entire chain on the table?

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Two masses $m_1 = 5\; kg$ and $m_2 = 4.8 \; kg$ tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when light free to move ? ($g = 9.8\; m/s^2$)

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A machine gun fires bullet of mass $40\;g$ with a velocity $1200\;ms^{-1}$. The man holding it can exert a maximum force of $144\;N$ on the gun. How many bullets can he fire per second at the most ?

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An automobile travelling with speed of $60\; km/h$, can brake to stop within a distance of 20 cm. If the car is going twice as fast, i.e $120\; km/h$, the stopping distance will be

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Which of the followng statements is false for a particle moving in a circle with a constant angular speed ?

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A projectile can have the same range R for two angles of projection. If $T_1$ and $T_2$ be the time of flights in the two cases, then the product of the two time of flights is directly proportional to

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If $\overrightarrow{A} \times \overrightarrow{B} = \overrightarrow{B} \times \overrightarrow{A}$, then the angle between $A$ and $B$ is

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A ball is released from the top of a tower of height $h$ metres. It takes $T$ seconds to reach the ground. What is the position of the ball in $T/3$ seconds ?

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A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$ is proportional to

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Which one of the following represents the correct dimensions of the coefficient of viscosity ?

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The smog is essentially caused by the presence of

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Insuline production and its action in human body are responsible for the level of diabetes. This compound belongs to which of the following categories ?

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Which of the following compound is not chairal ?

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Among the following compound which can be dehydrated very easily is

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Which of the following undergoes reaction with 50% sodium hydroxide solution to give the corresponding alcohol and acid?

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Which one of the following reduced with zinc and hydrochloric acid to give the corresponding hydrocarbon ?

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Acetyl bromide reacts with excess of $CH_3MgI$ followed by treatment with a saturated solution of $NH_4Cl$ given

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On mixing ethyl acetate with aqueous sodium chloride, the composition of the resultant solution is

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The compound formed on heating chlorobenzene with chloral in the presence concentrated sulphuric acid is

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Which base is present in RNA but not in DNA ?

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Which of the following is the strongest base ?

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Consider the acidity of the carboxylic acids :

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Amongst the following compound, the optically active alkane having lowest molecular mass is

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Rate of the reaction is fastest when Z is

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Which of the folowing will have meso-isomer also ?

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Which one of the following does not have $sp^2$ hybridized carbon ?

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The IUPAC name of the compound

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Which one of the following has the minimum boiling point ?

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The ammonia evolved from the treatment of $0.30\;g$ of an organic compound for the estimation of nitrogen was passed in $100\; mL$ of $0.1\; M$ sulphuric acid. The excess of acid required $20 \; mL$ of $0.5\;M$ sodium hydroxide solution hydroxide solution for complete neutralization. The organic compound is

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The compound formed in the positive test for nitrogen with the Lassaigne solution of an organic compound is

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The half-life of a radioisotope is four hours. If the inital mass of the isotope was 200 g, the mass remaining after 24 hours undecayed is

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Consider the following nuclear reactions $^{238}_{92} M \to ^x_y N + ^4_2He$ $^x_y N \to ^A_B L + 2 \beta^+$ The number of neutrons in the elements L is

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The correct order of magnetic moments (spin only values in B.M.) among is (Atomic numbers : Mn = 25; Fe = 26; Co = 27 )

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Which one of the following has largest number of isomers ? (R - =alkyl group, en = ethylenediamine )

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Cerium (Z = 58) is an important member of the lanthanoids. Which of the following statements about cerium is incorrect ?

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Coordination compound have great importance in biological systems. In this context which of the living following statements is incorrect ?

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