List of top Questions asked in MHT CET

An elastic material with Young's modulus $Y$ is subjected to a tensile stress $S$. The elastic energy stored per unit volume of the material will be

A straight wire of length $0.5\,\text{m$ and carrying current of $1.2\,\text{A}$ is placed in a uniform magnetic field of induction $2\,\text{T}$. The magnetic field is perpendicular to the length of the wire. What is the force acting on the wire? $\left[\sin 90^\circ = 1\right]$}

The resonant frequency of a series LCR circuit is $f$. The circuit is now connected to the sinusoidally alternating e.m.f. of frequency $2f$. The new reactances $X'_L$ and $X'_C$ are related as

If $T$ is the half-life of a radioactive substance, then its instantaneous rate of change of activity is proportional to

Under isothermal conditions, two soap bubbles of radii $r_1$ and $r_2$ coalesce to form a big drop. The radius of the big drop is

A light ray of frequency $\nu$ and wavelength $\lambda$ enters a liquid of refractive index $\dfrac{3{2}$. The ray travels in the liquid with}

Two waves with same amplitude and frequency superpose at a point. The ratio of resultant intensities when they arrive in phase to that when they arrive $90^\circ$ out of phase is $\left[\cos \frac{\pi}{2} = 0\right]$

A plane wavefront is incident on a water surface at an angle of incidence $60^\circ$ then it gets refracted at $45^\circ$. The ratio of width of incident wavefront to that of refracted wavefront will be
$\left[\sin \frac{\pi}{4} = \cos \frac{\pi}{4} = \frac{1}{\sqrt{2}}, \; \sin 60^\circ = \frac{\sqrt{3}}{2}, \; \cos 60^\circ = \frac{1}{2}\right]$

Two black spheres $P$ and $Q$ have radii in the ratio $3:2$. The wavelengths of maximum intensity radiation are in the ratio $3:4$ respectively. The ratio of radiated power by $P$ to $Q$ is

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

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)

Sensitivity of a given potentiometer can be decreased by

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}

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

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

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

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

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