List of top Questions asked in MHT CET- 2020

If \( ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 \) represents a joint equation of directrices of the hyperbola \( 16x^2 - 9y^2 = 144 \), then \( g + f - c = \)

Which of the following metals does NOT displace zinc from its solution?

The joint equation of two lines through the origin, each of which makes an angle of \(30^\circ\) with the line \(x + y = 0\), is

If \( \vec{a} = \hat{i} + 5\hat{k}, \, \vec{b} = 2\hat{i} + 3\hat{k}, \, \vec{c} = 4\hat{i} - \hat{j} + 2\hat{k}, \, \vec{d} = \hat{i} - \hat{j} \), then \( (\vec{c} - \vec{a}) \cdot (\vec{b} \times \vec{d}) = \)

A radioactive nucleus emits \( \alpha \) particles and \( \beta \) particles in succession. The ratio of number of neutrons to that of protons is \( A = \) mass number, \( Z = \) atomic number

The polar co-ordinates of the point whose cartesian co-ordinates are \( (-2, -2) \), are given by

When a resistance of \( 200\Omega \) is connected in series with a galvanometer of resistance \( G \), its range is \( V \). To triple its range, a resistance of \( 2000\Omega \) is connected in series. The value of \( G \) is

Let force \( F = A \sin(Ct) + B \cos(Dx) \) where \( x \) and \( t \) are displacement and time respectively. The dimensions of \( \frac{C}{D} \) are same as dimensions of

If resistivity of 0.8 M KCl solution is \( 2.5 \times 10^{-3} \, \Omega \, \text{cm} \), calculate molar conductivity of solution?

A long metal rod of length \(L\) completes the circuit as shown. The area of the circuit is perpendicular to magnetic field \(B\). Total resistance of the circuit is \(R\). The force needed to move the rod in the direction as shown with constant speed \(V\) is

In the laboratory, hydrogen chloride is prepared by heating

The rate of first order reaction \( A \rightarrow B \) is \( 6.3 \times 10^{-6} \, \text{M s}^{-1} \). If \( [A] = 0.3 \, \text{M} \), what is the rate constant of the reaction?

A satellite of mass \(m\) is revolving around earth of mass \(M\) in an orbit of radius \(r\) with constant angular velocity \(\omega\). The angular momentum of the satellite is (G = gravitational constant)

A satellite is revolving in a circular orbit around the earth with total energy \( E \). Its potential energy in that orbit is

The variation of stopping potential for metals A, B, C and D with frequency of incident radiation is as shown in the figure. For which metal, stopping potential is higher for lower values of threshold frequency (\(\nu_0\))? [The frequency of incident radiation \(\nu\) is same.]

Which among the following polymers is used for wrapping food?

Identify the ionic charge and magnetic nature respectively of manganate ion.

What is the mass of an fcc unit cell if mass of one atom of an element is $6 \times 10^{-23$ g?}

Which among the following gas is bubbled through the brine solution during the preparation of sodium carbonate in Solvay's process?

Identify basic amino acid from following

Identify the product X in the following reaction.

What is the correct order of C-X bond strength in CH\(_3\)-X?

In the following reaction the reagent A is,
\[ {Ar-N2^+X^- →[A] Ar-N2^+BF4^- →[\Delta] Ar-F + BF3 + N2} \]

What is the molecular formula of nitrogen sesquioxide?

A cord is wound round the circumference of a wheel of radius \( r \). The axis of the wheel is horizontal and the moment of inertia about it is \( I \). A block of mass \( m \) is attached to the free end of the cord, initially at rest. When the wheel rotates and the block moves vertically downwards through distance \( h \), the angular velocity of the wheel will be