List of top Questions asked in MHT CET

A particle performing $ SHM $ has time period $ \frac{2\pi}{\sqrt3} $ and path length $ 4\, cm $ . The displacement from mean position at which acceleration is equal to velocity is

A point on $XOZ$ plane divides the join of $(5,-3,-2)$ and $ (1,2,-2)$ on

$ 0.1\, M $ solution of which of the following has almost unity degree of dissociation ?

The maximum value of $ z = 9x + 13y $ subject to $ 2x + 3y \le 18, 2x + y \le 10, x \ge 0, y \ge 0 $ is

If the electron in a hydrogen atom jumps from an orbit with level $n_{1} =2$ to an orbit with level $n_{2} =1$ the emitted radiation has a wavelength given by

Ethyl butyrate has the flavour of which fruit ?

If an electron is revolving around the hydrogen nucleus at a distance of $ 0.1 \,nm $ , what should be its speed ?

$ \lim\limits _{x\to 1 } \left(log \,ex\right)^{1/log\,x} $ is equal

Joint equation of pair of lines through $ (3, - 2) $ and parallel to $ x^2 - 4xy + 3y^2 = 0 $ is

Find the function $ f(x_1, x_2, x_3) $ satisfying $ f(x_1, x_2, x_3) = 1 $ at $ x_1 = 1, x_2 = x_3 = 0 $ .

For a certain function $ u_x $ , given that $ u_0 = 3, u_1 = 12, u_2 = 81, u_3 = 200, u_4 = 100, u_5 = 8 $ , then $ \Delta ^{5}u_{x} $ is equal to

$ \int e^{x} \frac{\left(x-1\right)}{x^{2}} dx $ is equal to

An element $ _{x}A^{y} $ emits $ 5 \,\alpha $ and $ 4\,\beta $ particles to give $ _{82}B^{207} $ . The number of protons and neutrons in $ A $ are respectively

$ \int\limits_{5}^{10} \frac{1}{\left(x-1\right)\left(x-2\right)}dx $ is equal to

TAB vaccine is useful against

The percentage (by weight) of sodium hydroxide in a $ 1.25 $ molal $ NaOH $ solution is

Important sperm lysin used for dissolving egg covering is

Fish flour is rich in

In $C_{3}$ plants, the first stable product of photosynthesis during the dark reaction is

Plasmids are used in genetic engineering as they are

Transgenic hirudin is obtained from

Nucleotide constituents of RNA are

To what temperature should the hydrogen at $ 327^{\circ}C $ be cooled at constant pressure, so that the root mean square velocity of its molecules becomes half of its previous value ?

The $ IUPAC $ name of crotonaldehyde is

In a satellite, if the time of revolution is $ T $ , then $ KE $ is proportional to