List of top Questions asked in MHT CET- 2020

Evaluate the integral \[ \int_{-5}^{5} \log \left( \frac{7 - x}{7 + x} \right) \, dx \]

Three condensers of capacities \(C_1, C_2, C_3\) are connected in series with a source of e.m.f. \(V\). The potentials across the three condensers are in the ratio of

If \( a, b, c \) are lengths of the sides \( BC, CA, AB \) respectively of \( \triangle ABC \) and \( a\vec{AH} + b\vec{BH} + c\vec{CH} = \vec{0} \), then point \( H \) is the

A simple pendulum of length \( L \) has mass \( M \) and it oscillates freely with amplitude \( A \). At extreme position its potential energy is \( (g = \text{acceleration due to gravity}) \)

The escape velocity from the surface of earth of mass \( M \) and radius \( R \) is \( V_e \). The escape velocity from the surface of a planet whose mass and radius are 3 times that of the earth will be

The eccentricity of the hyperbola \( 16x^2 - 3y^2 - 32x - 12y - 44 = 0 \) is

Two small drops of mercury each of radius \( R \) coalesce to form a large single drop. The ratio of the total surface energies before and after the change is

Which of the following halogens combine with dihydrogen at the lowest temperature?

Which of the following does NOT give yellow precipitate when reacted with (NaOH + I\(_2\)) mixture?

Let \( R_1 \) and \( R_2 \) are radii of two mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is

Which of the following aromatic acids has less acidic strength than benzoic acid?

In phase modulation, according to the information signal, a parameter of the carrier wave which is varied, is

A circular coil of radius \( R \) has a resistance of 40\( \Omega \). Figure shows two points \( P \) and \( Q \) on the circumference separated by a distance \( \frac{\pi R}{2} \), which are connected to a 16 V battery with internal resistance of 0.5 \( \Omega \). What is the value of current \( I \) flowing through the circuit?

If \( f(x)=\dfrac{4x+7}{7x-4} \), then the value of \[ f\{f[f(2)]\} \] is

The linear displacement \( x \) of the bob of simple pendulum from its mean position varies as \( x = a \sin \left( \frac{\pi}{2} t \right) \), where \( a \) is its amplitude expressed in meter and \( t \) is in second. The length of simple pendulum is (Take \( g = \pi^2 \, \text{m/s}^2 \))

Which among the following on chlorination yields only one monochloroderivative?

Which of the following equations has $\Delta_f H^\circ$ and $\Delta H^\circ$ same ?

Identify the product obtained on roasting of concentrated zinc blende at about 1200 K?

A coin is placed on a horizontal plate. The plate performs S.H.M. vertically with angular frequency \(\omega\). The amplitude \(A\) of oscillations is gradually increased. The coin will lose contact with the plate for the first time when amplitude is ( \(g\) = acceleration due to gravity )

For every value of \( x \), the function \( f(x) = \frac{1}{a^x}, a>0 \) is

A block of mass \( M \) is pushed momentarily on a horizontal surface with initial velocity \( V \). If \( \mu \) is the coefficient of sliding friction between the block and surface, the block will come to rest after time \( t \) (where \( g \) is the acceleration due to gravity)

A bar magnet has pole strength of 15 A m and magnetic length 1 cm. What is the magnetic induction produced by it at a distance of 50 cm from either pole? (Given: \( \dfrac{\mu_0}{4\pi} = 10^{-7} \, \text{Wb A}^{-1}\text{m}^{-1} \))

In the reaction: \[ 2 \text{KClO}_3 (s) \rightarrow 2 \text{KCl} (s) + 3 \text{O}_2 (g) \quad \Delta H = -78 \, \text{kJ} \] If 33.6 L of oxygen gas is liberated at S.T.P., what is the mass of KClO\(_3\) produced?

A body performing simple harmonic motion has potential energy \(P_1\) at displacement \(x_1\). Its potential energy is \(P_2\) at displacement \(x_2\). The potential energy \(P\) at displacement \((x_1 + x_2)\) is

Which among the following complexes carries no net charge?