List of top Questions asked in MHT CET- 2020

A body of mass \(m\) is moving along a circle of radius \(r\) with linear speed \(v\). Now, to change the linear speed to \(\dfrac{v}{2}\) and to move it along the circle of radius \(4r\), required change in the centripetal force of the body is

Sodium crystallizes in bcc structure with radius 1.86 \(\times\) 10\(^{-8}\) cm. What is the edge length of unit cell of sodium?

How much energy is imparted to an electron so that its de-Broglie wavelength reduces from \( 10^{-10} \) m to \( 0.5 \times 10^{-10} \) m?

Two masses \( M_1 \) and \( M_2 \) are accelerated uniformly on a frictionless surface as shown in figure. The ratio of the tensions \( \left( \frac{T_1}{T_2} \right) \) is

A metal rod of Young’s modulus $Y$ and coefficient of linear expansion $\alpha$ has its temperature raised by $\Delta \theta$. The linear stress to prevent the expansion of rod is ($L$ and $\ell$ are original length of rod and expansion respectively)

With usual notations, in triangle ABC, \( a = \sqrt{3} + 1 \), \( b = \sqrt{3} - 1 \) and \( \angle C = 60^\circ \), then \( A - B = \)

Identify the product C in the following reaction.
\[ \text{CH\(_3\)CH\(_2\)COOH} \xrightarrow{\text{NaOH}} A \xrightarrow{\text{CaO, }\Delta} B \xrightarrow{\text{HNO\(_3\)}} C \]

Which among the following vitamins belongs to aromatic series?

Which among the following observations suggests that glucose also exists in cyclic form?

The non-zero potential difference across diode \(D_1\) and that across diode \(D_2\) are equal in the circuit shown in the figure (both diodes are identical in characteristics)

How many atoms of argon are present in 3.99 g of it? (atomic mass = 39.9)

If the kinetic energy of a particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is

Which of the following molecule has zero bond order?

If \(f'(x) = k(\cos x + \sin x)\) and \(f(0) = 9,\ f\!\left(\dfrac{\pi}{2}\right) = 15\), then \(f(x)=\)

If rectangles are inscribed in a circle of radius \( r \) units, then the dimensions of the rectangle which has maximum area are

Which among the following oxides of nitrogen is a brown coloured gas?

Which of the following hydride is deficient in hydrogen?

An electron (\( e \)) is revolving in a circular orbit of radius \( r \) in a hydrogen atom. The angular momentum \( M \) of the electron is
\textit{(where \( M \) = magnetic dipole moment associated with it and \( m \) = mass of the electron)}

If \( \int x^x (1 + \log x) \, dx = k x^x + c \), then \( k = \)

A circular coil of radius \( R \) is carrying a current \( I_1 \) in anticlockwise sense. A long straight wire is carrying current \( I_2 \) in the negative direction of x-axis. Both are placed in the same plane and the distance between the centre of coil and straight wire is \( d \). The magnetic field at the centre of coil will be zero for the value of \( d \) equal to

If the lines given by \( \vec{r} = 2\hat{i} + \lambda(\hat{i} + 2\hat{j} + m\hat{k}) \) and \( \vec{r} = \hat{i} + \mu(2\hat{i} + \hat{j} + 6\hat{k}) \) are perpendicular, then the value of \( m \) is

A stone is tied at the end of a rope of length 1 m and whirled in a vertical circle. The ratio of velocity at the highest point to the lowest point will be

If \(\sqrt{x} + \sqrt{y} = \sqrt{xy}\), then find \(\dfrac{dy}{dx}\).

The differential equation of the family of curves \( y = e^{x} (A \cos x + B \sin x) \), where \( A \) and \( B \) are arbitrary constants, is

One thousand small water drops of equal radii combine to form a big drop. The ratio of final surface energy to the total initial surface energy is