List of top Questions asked in MHT CET

Calculate the volume occupied by all particles in fcc unit cell if volume of unit cell is \(1.6 \times 10^{-23} \text{ cm}^3\).

Which from following amino acids contains heterocyclic ring at a side chain (R) group?

Which from following nitrogen bases either of purine or pyrimidine does NOT contain \(-\text{NH}_2\) group attached with its ring?

Identify the conjugate acid-base pair respectively from the following equilibrium reaction:

\[ \text{HPO}_4^{2-}\text{(aq)} + \text{H}_2\text{O}\text{(l)} \rightleftharpoons \text{PO}_4^{3-}\text{(aq)} + \text{H}_3\text{O}^{+}\text{(aq)} \]

Which among the following has lowest boiling point?

What type of overlap is involved in the formation of C $-$ H bonds in acetylene molecules?

\(500 \text{ gram}\) of a diatomic gas is enclosed at a pressure of \(10^{5} \text{ Nm}^{-2}\). The density of the gas is \(5 \text{ kg m}^{-3}\). The energy of one mole of the gas due to its thermal motion is [consider the gas molecule as a rigid rotator].

An AND gate is followed by a NOT gate in series. With two inputs ' \(A\) ' and ' \(B\) ', the Boolean expression for the output ' \(Y\) ' will be

Which of the following figure represents forward bias diode?

A uniform sphere has radius ' \(R\) ' and mass ' \(M\) '. The magnitude of gravitational field at distances ' \(r_1\) ' and ' \(r_2\) ' from the centre are ' \(E_1\) ' and ' \(E_2\) ' respectively. The ratio \(E_1 : E_2\) is (\(r_1 > R\) and \(r_2 < R\))

The length of steel rod is \(5 \text{ cm}\) longer than the copper rod at all temperatures. The length of the steel and copper rod is respectively (\(\alpha_s = 1.1 \times 10^{-5}/^{\circ} \text{C}, \alpha_c = 1.7 \times 10^{-5}/^{\circ} \text{C}\))

A simple pendulum starts oscillating simple harmonically from its mean position (\(x = 0\)) with amplitude ' \(a\) ' and periodic time ' \(T\) '. The magnitude of velocity of pendulum at \(x = \frac{a}{2}\) is

The distance between two consecutive points with phase difference of \(45^{\circ}\) in a wave of frequency \(300 \text{ Hz}\) is \(4.0 \text{ m}\). The velocity of the travelling wave is (in \( \text{km/s} \))

Energy of the incident photons on the metal surface is initially \(4 \text{ W}\) and then \(6 \text{ W}\) where \(W\) is the work function of that metal. The ratio of velocities of emitted photoelectrons is

When LED is manufactured by using aluminium gallium arsenide (AlGaAs), it emits

A coil having ' \(N\) ' turns and resistance ' \(R \Omega\) ' is connected to a galvanometer of resistance ' \(6 \text{ R } \Omega\) '. The magnetic flux linked with this coil changes from \(\phi_1\) weber to \(\phi_2\) weber in time ' \(t\) ' second. The induced current in the circuit is

In YDSE, the intensity where path difference is (\frac{\lambda}{4}) is (\frac{K}{4}). The intensity at a point when path difference is ' (\lambda) ' will be

An organ pipe closed at one end has fundamental frequency of (1500 Hz). The maximum number of overtones generated by this pipe which a normal person can hear is (Normal man hears up to (19.5 kHz))

The ratio of the total energy of the (2^{nd}) orbit electron for the hydrogen atom ((^{1}H)) to that of a helium ion ((He^{+})) is :

A gas having (\gamma = \frac{5}{2}) and volume (360 c.c.) is suddenly compressed to (90 c.c.) If initial pressure is (P), then final pressure will be

The magnetic field ((B)) inside a long solenoid carrying current ' (i) ' with an iron core is (( \mu_0 =) vacuum permeability, (\chi =) susceptibility)

Resolving power of a telescope can be increased by increasing

A star radiates heat as a black body at temperature ' (T) '. The total radiant energy per unit area received at a distance ' (R) ' from the centre of a star of radius ' (r) ' is : ((\sigma =) Stefan's constant)

A particle of mass \(200 \text{ g}\) is executing S.H.M. of amplitude \(0.2 \text{ m}\). At mean position, K.E. is \(16 \times 10^{-3} \text{ J}\). The equation of motion is:

A charge is uniformly distributed on the surface of a spherical rubber balloon. As it is blown up, the total electric flux coming out of the surface