List of top Questions asked in MHT CET- 2020

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

The displacement of a particle at the time \( t \) is given by \[ s = \sqrt{1 + t}, \quad \text{then its acceleration } a \text{ is proportional to} \]

The ratio of energy required to raise a satellite of mass \( m \) to a height \( h \) above the earth's surface to that required to put it into the orbit at same height is

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

Which one of the following statements is NOT the property of light?

If the equation \[ ax^2 + hxy + by^2 = 0, \quad c \neq 0 \text{ represents a pair of coincident lines, then} \]

Four capacitors of equal capacity have an equivalent capacitance \(C_1\) when connected in series and an equivalent capacitance \(C_2\) when connected in parallel. The ratio \(\dfrac{C_2}{C_1}\) is

A metal sphere of radius 1 m is charged with \( 10^{-2} \) C in air. Its bulk modulus is \( \frac{10^{11}}{4\pi^2} \). The volume strain in the sphere is \( \epsilon_0 \) (permittivity of free space)

If \( \cosec\theta + \cot\theta = 5 \), then \( \sin\theta = \)

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

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

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 \( a \)?

On mixing a highly soluble impurity in water, the surface tension \(T\) and angle of contact \(\theta\)

The joint equation of the lines through the origin trisecting angles in the first and third quadrant is

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

The domain of the real valued function \[ f(x) = \frac{x + 2}{9 - x^2} \] is

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

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

When a certain length of wire is turned into one circular loop, the magnetic induction at the centre of the coil due to current \(I\) is \(B_1\). If the same wire is turned into four loops to make a circular coil, the magnetic induction at the centre of this coil is \(B_2\) for the same current. Then the relation between \(B_2\) and \(B_1\) is

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

Which among the following is a product of hydrolysis of one mole raffinose?

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

The foot of the perpendicular drawn from the origin to the plane \( x + y + 3z - 4 = 0 \) is