List of top Questions asked in MHT CET

Four point masses, each of mass $m$ are arranged in $X-Y$ plane as shown. Find the moment of inertia about $X$-axis.

The angular momentum of electron in hydrogen atom in first orbit is ' \(L\) '. The change in angular momentum if electron is in second orbit of hydrogen atom is

A satellite is revolving round the earth with orbital speed ' \(V_0\) '. If it stops suddenly, the speed with which it will strike the surface of the earth would be ( \(V_e\) = escape velocity of a particle on earth's surface)

A particle of mass ' \(m\) ' is executing S.H.M. about the origin on \(x\)-axis with frequency \(\sqrt{\frac{ka}{\pi m}}\), where ' \(k\) ' is a constant and ' \(a\) ' is the amplitude of S.H.M. If ' \(x\) ' is a displacement of a particle, at time ' \(t\) ', potential energy of the particle will be

For a given medium, the speed of light and the polarising angle are ' \(v\) ' and ' \(i_p\) ' respectively, then (\(c\) = speed of light in vacuum)

A hollow charged metal sphere has a radius ' \(r\) '. If the potential difference between its surface and a point at a distance ' \(3r\) ' from the centre is ' \(v\) ', then the electric field intensity at a distance ' \(3r\) ' is

Two stars 'A' and 'B' radiate maximum energy at \(5200\text{ \AA}\) and \(6500\text{ \AA}\) respectively. Then the ratio of absolute temperatures of stars ' A ' and ' B ' is

A pipe closed at one end vibrating in fifth overtone is in unison with open pipe vibrating in its fifth overtone. The ratio of \(l_c : l_o\) is [\(l_c = \text{vibrating length of closed pipe}, l_o = \text{vibrating length of open pipe}\)]

When a ray of light is refracted from one medium to another, then the wavelength changes from \(6000\text{ \AA}\) to \(4000\text{ \AA}\). The critical angle for the interface will be

The resistance of a coil for d.c. is \(5\Omega\). In a.c., the resistance will

A thin rod of length ' $4L$ ' and mass ' $4m$ ' is bent as shown. Find the moment of inertia about an axis through $O$ and perpendicular to the plane.

In between the plates of parallel plate capacitor of plate separation '$d$' a dielectric plate of thickness '$t$' is inserted. The capacitance becomes one-third of the original capacity without dielectric. The dielectric constant of the plate is

Four masses of \(1\text{ kg}, 2\text{ kg}, 3\text{ kg}\) and \(4\text{ kg}\) are kept at co-ordinates \((0, 0)\text{m, (0, 1)\text{m}\) and \((1, 0)\text{m}\) respectively. Using the co-ordinates of centre of mass its position vector is}

Two different coils have self - inductance \(L_1 = 9\text{ mH}\) and \(L_2 = 3\text{ mH}\). The current in first coil is increased at a constant rate. The current in the second coil is also increased at the same constant rate. At certain instant of time, the power given to the two coils is same. At that time, there was current and induced voltage in the two coils. At the same instant, the ratio of the energy stored in the first coil to that in second coil is

Water is flowing through a horizontal pipe in a streamline flow. At the narrowest part of the pipe

What are the possible values of magnetic quantum number for $p$ orbital?

Identify 'A' in the following reaction.

Identify the reagent 'R' necessary to bring the following conversion.

Which amino acid from following contains highest number of N atoms in it?

What is the IUPAC name of following compound?

If osmotic pressure of $0.2 \text{ M}$ aqueous glucose solution is $5 \text{ atm}$ at $300 \text{ K}$. Calculate the concentration of glucose solution having osmotic pressure $2.5 \text{ atm}$ at same temperature.

Calculate the final pressure required to reduce the volume of a gas to one third, if initial pressure is $1.6 \times 10^5 \text{ Nm}^{-2}$.

What is the change in internal energy for $2\text{CO}_{(g)} + \text{O}_{2(g)} \rightarrow 2\text{CO}_{2(g)}$ at $25^\circ\text{C}$ ?
( $\text{R} = 8.314 \text{ J K}^{-1} \text{ mol}^{-1}$, $\Delta H = -560 \text{ kJ}$ )}

If A, B, C, D are four different elements with outer electronic configuration as
A = $4s^2 4p^4$, B = $4s^2 4p^5$, C = $5s^2 5p^4$, D = $5s^2 5p^5$.
Find the element having highest ionization enthalpy ($\Delta_i H_1$)

Which of the following isomeric amines has the highest boiling point?