List of top Questions asked in MHT CET- 2020

The region near the junction of an unbiased p-n junction diode is known as depletion layer. The layer is depleted of

Sensitivity of a given potentiometer can be decreased by

When a mercury drop of radius $R$ breaks into $n$ droplets of equal size, the radius $r$ of each droplet is

In Searle's method to find Young's modulus of a wire, when a force of $1.5$ kg-wt is applied at its free end, the length of wire is $a$. When force of $2.5$ kg-wt is applied, the length of wire is $b$. What would be its original length?

If $\lambda_1$ and $\lambda_2$ are the wavelengths of de-Broglie waves for electrons in first and second Bohr orbits in hydrogen atom, then $\left(\dfrac{\lambda_1}{\lambda_2}\right)$ is equal to (Energy in 1st Bohr orbit = $-13.6\,\text{eV}$)

The resultant gate and its Boolean expression for the given circuit is

Three particles each of mass $m_1$ are placed at the corners of an equilateral triangle of side $L$. A particle of mass $m_2$ is placed at the midpoint of any one side of the triangle. Due to the system of particles the force acting on $m_2$ is (G = universal constant of gravitation)

Kirchhoff's current law and voltage law respectively are based on the law of conservation of

A pipe open at both ends has length 1 m. The air column in the pipe cannot resonate for a frequency (Neglect end correction, speed of sound in air = 340 m/s)

Focal length of a convex lens will be maximum for

An electromagnetic wave of wavelength $\lambda$ is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted from this surface have the de-Broglie wavelength $\lambda_1$, then

If three vectors have equal magnitude i.e. $A = B = C$, then the angle between $\vec{A$ and $\vec{C}$ is $\alpha$. If $\vec{A} + \vec{B} + \vec{C} = 0$, then the angle between $\vec{A}$ and $\vec{C}$ is $\beta$, then $\dfrac{\alpha}{\beta}$ is}

A bus is moving with a velocity of 5 m/s towards a wall. The driver blows the horn of frequency 165 Hz. If the speed of sound in air is 335 m/s, then after reflection of the sound wave, the number of beats per second heard by the passengers in the bus will be

The parametric equations of the line passing through \( A(3, 4, -7) \), \( B(1, -1, 6) \) are

A graph of magnetic flux ($\phi$) versus current ($I$) is shown for four inductors A, B, C and D. Larger value of self-inductance is for inductor

Evaluate the integral: \[ \int \frac{dx}{\cos x \sqrt{\cos 2x}}. \]

The auxiliary equation of the lines passing through the origin and having slopes \[ \sqrt{3} + 1 \quad \text{and} \quad \sqrt{3} - 1 \quad \text{is} \]

The equation of a plane containing the point \( (1, -1, 1) \) and parallel to the plane \[ 2x + 3y - 4z = 17 \text{ is} \]

The angle between the line \[ \frac{x - 1}{2} = \frac{y + 3}{1} = \frac{z + 7}{2} \] and the plane \[ \mathbf{r} \cdot (6\hat{i} - 2\hat{j} - 3\hat{k}) = 5 \] is

If \[ \frac{\sin(A + B)}{\sin(A - B)} = \frac{\cos(C + D)}{\cos(C - D)}, \] then \( \tan A \cot B = \)

If \[ f(x) = |x - 2|, \quad x \in [0, 4], \quad \text{then the Rolle's theorem cannot be applied to the function because} \]

The particular solution of the differential equation \[ \sin^2 y \frac{dx}{dy} + x = \cot y \quad \text{when} \quad x = 0 \quad \text{and} \quad y = \frac{3\pi}{4} \text{ is} \]

If \[ y = 3e^{5x} + 5e^{3x}, \quad \text{then} \quad \frac{d^2 y}{dx^2} - 8 \frac{dy}{dx} = \]

If \( \theta \) is a parameter, then the parametric equations of the circle \[ x^2 + y^2 - 6x + 4y - 3 = 0 \] are given by

If \[ | \mathbf{a} \times \mathbf{b} \times \mathbf{c} | = 4, \] then the volume of the parallelepiped with coterminous edges \[ \mathbf{a} + 2\mathbf{b}, \quad \mathbf{b} + 2\mathbf{c}, \quad \mathbf{c} + 2\mathbf{a} \] is