List of top Questions asked in JEE Main

De Broglie wavelength of proton = \(λ\) and that of an a particle \(2λ\). The ratio of velocity of proton to that of \(\alpha\) particle is 

A vernier caliper has \(10\) main scale divisions coinciding with \(11\) vernier scale division equals \(5\) \(mm\). the least count of the device is :

Find percentage change in capacitance if potential difference across it has been changed from V to 2V.
Oxidation state of Fe(iron) in complex formed in brown ring test
In the figure shown, find the ratio of tensions in the strings, \(\frac{T_1}{T_2}\)
If \(\frac{dy}{dx}\)= \(\frac{(x+y-2)}{(x-y)}\), and y(0) = 2, find y(2)
In the expansion of \((1 + x)(1 - x^2) (1 + \frac 3x + \frac {3}{x^2}+ \frac {1}{x^3})^5\) the sum of coefficients of \(x^3\) and \(x^{-13}\) is
The Pressure (P) versus volume (V) of thermodynamic process shown in figure. The select the correct options (Take γ= 1.1)
thermodynamic process shown in figure
solid sphere is rolling purely with speed v on horizontal surface. It rolls up an incline surface and stops at height h. Then height h is [g is the acceleration due to gravity]:
If \(å= î+2ĵ + k, b = 3(î - ĵ + k), å · c = 3\) and \(å \times č = b\), then \(å·((xb)-b-č)\)=
A particle performing simple harmonic motion is such that its amplitude is 4 m and speed of particle at mean position is 10 m/s. Find the distance of particle from mean position where velocity becomes 5 m/s.

Find the value of m if \(M = 10\) \(kg\). All the surfaces are rough.

Output of given circuit represents which logic gate :
Output of given circuit represents which logic gate :
For a \(1-D\) motion, relation between position x and time \(t\) is \(t = αx^2 + βx\) Find the relation between velocity \(v\) and acceleration \(a\).
The fundamental frequency of closed organ pipe is equal to the frequency of first overtone of open organ pipe of length 60 cm. The length of closed organ pipe is
In single electron \(atom/ion\), first member of Lyman series is \(λ\), then wavelength of second member of their series shall be
Calculate the average energy density of an electromagnetic wave whose electric field is oscillating with amplitude \(50 \;V/m\) and frequency \(5 \times10^{10}\) \(Hz\) :
Stopping potential is \(8\) \(V\) if wavelength of incident light is \(λ\) and it is \(2\) \(V\) for \(3λ\). Find threshold wavelength.
Color of \(Pbl_2\)
Let the system of equations \(x+2y+3z = 5\), \(2x+3y+z = 9\), \(4x+3y+λz = μ\) have an infinite number of solutions. Then \(λ + 2μ\) is equal to
The speed of sound in oxygen in STP will be approximately? Given that \(R=8.3 \) and \(y=1.4\)
A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone will be?
The number of solution of the equation \(4sin^2 x-4cos^3 x+9-4cos x = 0\), \(x ∈ [-2\pi, 2\pi]\)
If \(n-1C_r= (k^2-8)^nC_r+1\) Find \(k\).
If the power of a light source is P and frequency of photons emitted is f. Find number photons emitted in time t.