List of top Questions asked in MHT CET- 2020

A body slides down a smooth inclined plane having angle \( \theta \) and reaches the bottom with velocity \( v \). If a body is a sphere then its linear velocity at the bottom of the plane is

An iron rod is placed parallel to the magnetic field of intensity 2000 \( A/m \). The magnetic flux through the rod is \( 6 \times 10^{-4} \, Wb \) and its cross-sectional area is \( 3 \, cm^2 \). The magnetic permeability of the rod in \( \frac{Wb}{A \cdot m} \) is

Evaluate the integral: \[ \int_0^{\frac{\pi}{2}} \frac{dx}{1 + \cos x} \]

\( \cos(36^\circ - A) \cos(36^\circ + A) + \cos(54^\circ + A) \cos(54^\circ - A) = \)

If \( f(x) = [x]^2 - 5[x] + 6 = 0 \), where \( [x] \) denotes the greatest integer function, then \( x \in \)

Rate of radiation by a black body is $R$ at temperature $T$. Another body has the same area but emissivity is $0.2$ and temperature is $3T$. Its rate of radiation is

Pumice stone is an example of

For the combustion of 1 mole of liquid benzene at 298K, the heat of reaction at constant pressure is -3268 kJ mol\(^{-1}\), what is the heat of combustion at constant volume?

Choose the correct statement. In conductors

The function \( f(x) = \log x - \frac{2x}{x+2} \) is increasing for all:

The motion of a rocket in upward direction with high speed is based on the principle of conservation of

Which of the following is a cationic detergent?

The dimensions of Planck’s constant are same as the product of

The moment of inertia of a ring about an axis passing through its centre and perpendicular to its plane is \(I\). It is rotating with angular velocity \(\omega\). Another identical ring is gently placed on it so that their centres coincide. If both the rings rotate about the same axis, then loss in kinetic energy is

Binding energy of a revolving satellite at height \(h\) is \(3.5\times10^8\,\text{J}\). Its potential energy is

When alkyl halide is boiled with large excess of alcoholic ammonia it forms

A light wave of wavelength \( \lambda \) is incident on a slit of width \( d \). The resulting diffraction pattern is observed on a screen at a distance \( D \). If linear width of the principal maxima is equal to the width of the slit, then the distance \( D \) is

The integral \[ \int_0^{\frac{\pi}{2}} \frac{1 - \cot x}{\csc x + \cos x} \, dx = \]

The equation of the line passing through the point \( (2, 3, -4) \) and perpendicular to the XOZ plane is

The reaction \( 2R - Cl + CoF_2 \rightarrow 2R - F + CoCl_2 \) is an example of .......

If \( \mathbf{A} = \hat{i} + 12 \hat{j} + \hat{k} \) and \( \mathbf{B} = 2\hat{i} - a\hat{j} + \hat{k} \) are perpendicular to each other, then what will be the value of \( a \)?

The rate of growth of bacteria is proportional to the number present. If initially there were 1000 bacteria and the number doubles in 1 hour, then the number of bacteria after \( 2\frac{1}{2} \) hours are (Given \( \sqrt{2} = 1.414 \))

If the radius of a circle \( x^2 + y^2 - 4x + 6y - k = 0 \) is 5, then \( k = \)

A progressive wave of frequency \( 50\,\text{Hz} \) is travelling with velocity \( 350\,\text{m s}^{-1} \) through a medium. The change in phase at a given point in a time interval of \( 0.01\,\text{s} \) is

In the equation \( P = \frac{C+S}{D} \), \( P \) and \( S \) represent pressure and distance respectively. The dimensions of \( \frac{P}{D} \) are