List of top Questions asked in MHT CET, VITEEE

Which of the following statements about Pollination by Water (Hydrophily) are correct?
i. It is found only in some 30 genera of aquatic monocots.
ii. In Hypohydrophily, the pollen grains are lighter than water and float on the water surface to reach the stigma.
iii. In Vallisneria (Epihydrophily), the female flowers reach the water surface temporarily to ensure pollination, and the male flowers float on the surface.
iv. Pollen grains of hydrophilous flowers are long and unwettable due to the presence of mucilage, and they lack exine in some species like Zostera (sea grass).
Calculate the moment of inertia of a uniform ring of mass \( M \) and radius \( R \) about a tangent in its own plane.
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 \(B/8\)?
Evaluate the integral: \[ \int \frac{4x^2 \cot^{-1}(x^3)}{1+x^6}\,dx \] (where \(C\) is a constant of integration)
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.
The equation \(x^2 - Ky^2 - 4x + 6y - 5 = 0\) represents a pair of straight lines. Find the point of intersection.
If \(A, B, C\) are vertices of a triangle with position vectors \(\vec{a}, \vec{b}, \vec{c}\) respectively, then find the position vector of the point \(D\) where the angle bisector from vertex \(A\) meets \(BC\).
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?