List of top Questions asked in MHT CET

An electron of mass 'm' and charge 'e' initially at rest gets accelerated by a constant electric field 'E'. The rate of change of de-Broglie wavelength of the electron at time 't' is (Ignore relativistic effect) ($h$ = Planck's constant) ______.

The fundamental frequencies of vibrations of air column in pipe open at both ends and in pipe closed at one end are $n_1$ and $n_2$ respectively, then \dots

If $f(x) = \log(1 + x) - \frac{2x}{2 + x}$, then $f(x)$ is increasing in ______.

One of the following values of inputs A, B and C respectively gives output (Y) of the following combination of logic gates as '1' is \dots

Which element from following has smallest ionic size in +3 state?

Two equally charged small balls placed at a fixed distance experience a force 'F'. A similar uncharged ball after touching one of them is placed at the middle point between the two balls. The force experienced by this ball is ______.

If standard reduction potential ($E^\circ$) of ($Mg^{2+} | Mg(s)$), ($Ag^+ | Ag(s)$), ($Zn^{2+}(aq) | Zn(s)$) and ($Cu^{2+}(aq) | Cu(s)$) are $-2.37$ V, $+0.79$ V, $-0.76$ V and $+0.34$ V respectively. Which of the following reaction is spontaneous?

Find the volume of 56 g dinitrogen at STP.

The circumradius of a triangle whose sides are 10 units, 8 units and 6 units is ______.

The equation of the curve passing through origin and satisfying $(1 + x^2) \frac{dy}{dx} + 2xy = 4x^2$ is ______.

If $\theta$ is an obtuse angle between vectors $\vec{a}$ and $\vec{b}$ such that $|\vec{a}| = 5, |\vec{b}| = 3$ and $|\vec{a} \times \vec{b}| = 5\sqrt{5}$ then $\vec{a} \cdot \vec{b} = \dots$

If $p \equiv$ The switch $S_1$ is closed, $q \equiv$ The switch $S_2$ is closed, $r \equiv$ switch $S_3$ is closed, then symbolic form of the switching circuit is equivalent to \dots

At what speed should a source of sound move away from a stationary observer so that the observer finds the apparent frequency equal to half the original frequency?

An object of mass 'm' moving with velocity 'u' collides with another stationary object of mass 'M' and stops just after the collision. The coefficient of restitution is ______.

There are 11 points in a plane of which 5 points are collinear. Then the total number of distinct quadrilaterals with vertices at these points is ______.

In an $LR$ circuit, the value of $L$ is $(0.3/\pi)$ henry and the value of $R$ is $40 \Omega$. If an alternating e.m.f of 230 V at 50 cycles per second is connected, the impedance of the circuit and current will be respectively ______.

Heat supplied $dQ$ = increase in internal energy $dU$ is true for \dots

Which from following elements in respective oxidation state develops highest spin only magnetic moment?

Which from following amines on heating with chloroform and ethanolic potassium hydroxide produces foul smell?

What is the number of moles of H atoms required for complete reduction of one mole acetonitrile?

Which colour is developed to the solution when alkaline earth metals are dissolved in liquid ammonia?

Find the EAN of Zn in $[Zn(NH_3)_4]^{2+}$?

Consider the following three statements:
(A) If $3 + 2 = 7$ then $4 + 3 = 8$.
(B) If $5 + 2 = 7$ then earth is flat.
(C) If both (A) and (B) are true then $5 + 6 = 11$.
Which of the following statements is correct?

Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule? ($I$ = moment of inertia and $h$ = Planck's constant) ______.

The eccentricity of the hyperbola which passes through the points $(3, 0)$ and $(3\sqrt{2}, 2)$ is \dots