List of top Questions asked in JEE Main

The value of \(\sin^{-1}\left(\frac{12}{13}\right) - \sin^{-1}\left(\frac{3}{5}\right)\) is equal to :

Consider the differential equation, \(y^2\,dx + \left(x - \frac{1}{y}\right)dy = 0\), If value of y is 1 when x = 1, then the value of x for which y = 2, is :

If \(\int_0^{\pi/2} \frac{\cot x}{\cot x + \operatorname{cosec} x}\,dx = m(\pi + n)\), then \(m \cdot n\) is equal to

The correct statement is :

The correct match between Item-I and Item-II is :

	Item - I		Item - II
(a)	High density polythene	(I)	Peroxide catalyst
(b)	Polyacrylonitrile	(II)	Condensation at high temperature & pressure
(c)	Novolac	(III)	Ziegler-Natta Catalyst
(d)	Nylon 6	(IV)	Acid or base catalyst

A hydrated solid X on heating initially gives a monohydrated compound Y. Y upon heating above 373 K leads to an anhydrous white powder Z. X and Z, respectively, are :

Which of the following is not a correct method of the preparation of benzylamine from cyanobenzene ?

The number of pentagons in \(\mathrm{C_{60}}\) and trigons (triangles) in white phosphorus, respectively, are :

The correct option among the following is :

Number of stereo centers present in linear and cyclic structures of glucose are respectively :

Compound A(C₉H₁₀O) shows positive iodoform test. Oxidation of A with KMnO₄/KOH given acid B(C₈H₆O₄). Anhydride of B is used for the preparation of phenolphthalein. Compound A is:

The major product obtained in the given reaction is :

The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about \(9\). The spectral series are :

The INCORRECT statement is :

In chromatography, which of the following statements is incorrect for R_f ?

The highest possible oxidation states of uranium and plutonium, respectively are :

The major product 'Y' in the following reactions is :

Which of these factors does not govern the stability of a conformation in acyclic compounds?

The difference between \(\Delta H\) and \(\Delta U\) (\(\Delta H-\Delta U\)), when the combustion of one mole of heptane(l) is carried out at a temperature \(T\), is equal to :

The minimum amount of \(\mathrm{O_2(g)}\) consumed per gram of reactant is for the reaction :
(Given atomic mass : Fe = 56, O = 16, Mg = 24, P = 31, C = 12, H = 1)

For the reaction,
\(\mathrm{2SO_2(g)+O_2(g)\rightleftharpoons 2SO_3(g)}\), \(\Delta H=-57.2\ \mathrm{kJ\,mol^{-1}}\) and \(K_C=1.7\times10^{16}\)
Which of the following statement is incorrect ?

A source of sound S is moving with a velocity of \(50\ \mathrm{m/s}\) towards a stationary observer. The observer measures the frequency of the source as \(1000\ \mathrm{Hz}\). What will be the apparent frequency of the source when it is moving away from the observer after crossing him? (Take velocity of sound in air is \(350\ \mathrm{m/s}\))

Light is incident normally on a completely absorbing surface with an energy flux of \(25\ \mathrm{W\,cm^{-2}}\). If the surface has an area of \(25\ \mathrm{cm^2}\), the momentum transferred to the surface in \(40\) min time duration will be :

A cubical block of side \(0.5\ \mathrm{m}\) floats on water with \(30\%\) of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water? [Take, density of water \(=10^{3}\ \mathrm{kg/m^3}\)]

Which one of the following graphs between molar conductivity (\(\Lambda_m\)) versus \(\sqrt{C}\) is correct ?