List of top Questions asked in VITEEE

A particle moves with velocity ($v = 3t^2 + 2t$). Find acceleration at ($t = 2$) s. ____.

What is the product of the reaction between Benzene and \(CH_3Cl\) in the presence of anhydrous \(AlCl_3\)?

For \(2N_2O_5 \rightarrow 4NO_2 + O_2\), if rate is \(1.02 \times 10^{-4}\) and \(k = 3.4 \times 10^{-5}\,s^{-1}\), find the concentration of \(N_2O_5\).

Find the odd one out: \(5,\,10,\,20,\,40,\,100,\,150,\,200\).

A current of \(2\,\text{A}\) flows through a resistor for \(10\) minutes. What is the total charge that passes through the resistor?

Choose the correct preposition: "The property was divided ___ the four brothers."

Find the value of \( \displaystyle \int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx \).

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 \(B/8\)?

In an LCR series circuit, the resonance frequency is \( f \). If the capacitance is made 4 times, what will be the new resonance frequency?

If \( \omega \) is an imaginary cube root of unity, find the value of \( (1 + \omega - \omega^2)^7 \).

Find the value of \(k\) if the lines \[ \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4} \] and \[ \frac{x-4}{5}=\frac{y-1}{2}=\frac{z}{k} \] are coplanar.

Calculate the pH of a \(0.01\,M\) \(HCl\) solution.

Evaluate the integral \[ \int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx. \]

If ‘FRIEND' is coded as ‘HUMJTK', how is ‘CANDLE' coded?

If \( S_n = 3n^2 + 5n \) represents the sum of \( n \) terms of an A.P., find the \(10^{th}\) term \( (a_{10}) \).

Complete the series: \(285,\,253,\,221,\,189,\, ?\)

A compound is formed by two elements \(X\) and \(Y\). Atoms of \(Y\) make ccp and those of element \(X\) occupy all the octahedral voids. What is the formula of the compound?

Which linkage joins the monosaccharide units in sucrose?

Which of the following electrolytes is most effective in the coagulation of a negative sol like \(As_2S_3\)?

In a common emitter transistor amplifier, the audio signal voltage across the collector resistance of \(2\,k\Omega\) is \(2V\). If the current amplification factor (\(\beta\)) is \(100\) and the base resistance is \(1\,k\Omega\), find the input signal voltage.

Point out the antonym of the word ‘Vague'.

If ‘ORANGE' is coded as ‘PSBOHF', how is ‘GRAPES' coded?

Which of the following noble gas compounds has a square planar geometry: \(XeF_2\), \(XeF_4\), or \(XeF_6\)?

Identify the monomer units used in the preparation of Nylon-6,6.