List of top Questions asked in VITEEE

A circular coil of radius \(R\) carries a current \(I\). The magnetic field at its centre is \(B\). At what distance from the centre on the axis of the coil will the magnetic field be \(B/8\)?
Two resistors of 6$\Omega$ and 3$\Omega$ are connected in parallel. Equivalent resistance is: ____.
A capacitor of \(10\,\mu F\) is charged to \(50\,V\). Calculate the energy stored in the capacitor.
Find the distance between the planes \(2x + 3y + 4z = 4\) and \(4x + 6y + 8z = 12\).
In a Young's Double Slit Experiment, if the distance between the slits is halved and the distance to the screen is doubled, what happens to the fringe width?
Choose the correct synonym for “Diligent.”
Find the distance of the point \( (1,-2,3) \) from the \(yz\)-plane.
In an LCR series circuit, the resonance frequency is \( f \). If the capacitance is made 4 times, what will be the new resonance frequency?
A proton \((q = 1.6 \times 10^{-19}\,C)\) enters a magnetic field of \(2\,T\) with a velocity of \(3 \times 10^6\,\text{m/s}\) perpendicular to the field. Find the magnetic force acting on the proton.
If ‘ORANGE' is coded as ‘PSBOHF', how is ‘GRAPES' coded?
Complete the series: \(285,\,253,\,221,\,189,\, ?\)
Evaluate the integral \[ \int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx. \]
If \( z = \frac{3i}{2} \), what is the value of \( \arg(z) \)?
Which of the following electrolytes is most effective in the coagulation of a negative sol like \(As_2S_3\)?
Find the electric flux through one face of a cube if a charge \(q\) is placed at its center.
Point out the antonym of the word ‘Vague'.
What is the product of the reaction between Benzene and \(CH_3Cl\) in the presence of anhydrous \(AlCl_3\)?
A particle moves with velocity ($v = 3t^2 + 2t$). Find acceleration at ($t = 2$) s. ____.
Calculate the ratio of de Broglie wavelengths of an electron \((\lambda_e)\) and a proton \((\lambda_p)\) moving with the same velocity.
Which of the following is an example of a condensation polymer?
An object is placed 15 cm in front of a concave mirror of focal length 10 cm. Find the position and nature of the image.
Calculate the work done in moving a charge of \(2\mu C\) between two points with a potential difference of \(5V\).
A charged particle moves in a magnetic field \(B\) with velocity components both along and perpendicular to \(B\). What is its path?
If \( \tan^{-1}x + \tan^{-1}y = \frac{\pi}{4} \), then what is the value of \(x + y + xy\)?
If the current in a coil changes from \(2A\) to \(4A\) in \(0.1\,s\), inducing an EMF of \(20V\), find the self-inductance.