List of top Questions asked in MHT CET- 2023

A wire $PQ$ has length $4.8\text{ m}$ and mass $0.06\text{ kg}$. Another wire $QR$ has length $2.56\text{ m}$ and mass $0.2\text{ kg}$. Both wires have same radii and are joined as a single wire. This wire is under tension of $80\text{ N}$. A wave pulse of amplitude $3.5\text{ cm}$ is sent along the wire $PQ$ from end $P$. The time taken by the wave pulse to travel along the wire from point $P$ to $R$ is?
A sonometer wire 49 cm long is in unison with a tuning fork of frequency '$n$'. If the length of the wire is decreased by 1 cm and it is vibrated with the same tuning fork, 6 beats are heard per second. The value of '$n$' is
An alternating voltage $E = 200\sqrt{2} \sin(100t)$ volt is connected to a $1 \mu\text{F}$ capacitor through an a.c. ammeter. The reading of the ammeter shall}
When a monochromatic ray of light is passed through an equilateral glass prism, it is found that the refracted ray in glass is parallel to the base of the prism. If '$i$' and '$e$' denote the angles of incidence and emergence respectively, then}
When moving coil galvanometer (MCG) is converted into a voltmeter, the series resistance is '$n$' times the resistance of galvanometer. How many times that of MCG the voltmeter is now capable of measuring voltage?
The self induction ($L$) produced by solenoid of length '$l$' having '$N$' number of turns and cross sectional area '$A$' is given by the formula ($\phi = \text{magnetic flux through one turn}, \mu_0 = \text{permeability of vacuum}$)}
When radiation of wavelength '$\lambda$' is incident on a metallic surface, the stopping potential is $4.8 \text{ V}$. If the surface is illuminated with radiation of double the wavelength then the stopping potential becomes $1.6 \text{ V}$. The threshold wavelength for the surface is
Figure shows two semicircular loops of radii $R_1$ and $R_2$ carrying current $I$. The magnetic field at the common centre '$O$' is
A long wire is bent into a circular coil of one turn and then into a circular coil of smaller radius having $n$ turns. If the same current passes in both the cases, the ratio of magnetic fields produced at the centre for one turn to that of $n$ turns is
Half life of radio-active element is $1600$ years. The fraction of sample remains undecayed after $6400$ years will be
At constant temperature, increasing the pressure of a gas by $5%$ its volume will decrease by}
A light spring is suspended with mass $m_1$ at its lower end and its upper end fixed to a rigid support. The mass is pulled down a short distance and then released. The period of oscillation is $T$ second. When a mass $m_2$ is added to $m_1$ and the system is made to oscillate, the period is found to be $\frac{3}{2}T$. The ratio $m_1 : m_2$ is
The position '$x$' of a particle varies with a time as $x = at^2 - bt^3$ where '$a$' and '$b$' are constants. The acceleration of the particle will be zero at}
In an $n-p-n$ transistor, the collector current is $28$ mA. If $80%$ of electrons reach the collector, its base current in mA is
A coil having effective area $A$, is held with its plane normal to magnetic field of induction $B$. The magnetic induction is quickly reduced by $25%$ of its initial value in $2$ second. Then the e.m.f. induced across the coil will be
When the conductivity of a semiconductor is only due to the breaking of the covalent bonds, the semiconductor is called}
Earth is assumed to be a sphere of radius $R$. If '$g_{\phi}$' is value of effective acceleration due to gravity at latitude $30^{\circ}$ and '$g$' is the value at equator, then the value of $|g - g_{\phi}|$ is ($\omega$ is angular velocity of rotation of earth, $\cos 30^{\circ} = \frac{\sqrt{3{2}$ )}
Four identical uniform solid spheres each of same mass '$M$' and radius '$R$' are placed touching each other as shown in figure, with centres $A$, $B$, $C$, $D$. $I_A$, $I_B$, $I_C$ and $I_D$ are the moment of inertia of these spheres respectively about an axis passing through centre and perpendicular to the plane. The difference in $I_A$, and $I_B$ is
When two light waves each of amplitude '$A$' and having a phase difference of $\frac{\pi}{2}$ superimposed then the amplitude of resultant wave is
Two condensers one of capacity $\frac{C}{2}$ and other capacity $C$ are connected to a battery of voltage $V$ as shown. The work done in charging fully both the condensers is
Refractive index of a glass convex lens is $1.5$. The radius of curvature of each of the two surfaces of the lens is $20 \text{ cm}$. The ratio of the power of the lens when immersed in a liquid of refractive index $1.25$ to that when placed in air is
On replacing a thin film of mica of thickness $12 \times 10^{-5}$ cm in the path of one of the interfering beams in Young's double slit experiment using monochromatic light, the fringe pattern shifts through a distance equal to the width of bright fringe. If $\lambda = 6 \times 10^{-5}$ cm, the refractive index of mica is
A metal rod cools at the rate of $4^\circ\text{C}/\text{min}$ when its temperature is $90^\circ\text{C}$ and the rate of $1^\circ\text{C}/\text{min}$ when its temperature is $30^\circ\text{C}$. The temperature of the surrounding is
A long solenoid has 1500 turns. When a current of 3.5 A flows through it, the magnetic flux linked with each turn of solenoid is $2.8 \times 10^{-3}$ weber. The self-inductance of solenoid is
A parallel plate capacitor with air medium between the plates has a capacitance of $10 \mu\text{F}$. The area of capacitor is divided into two equal halves and filled with two media (as shown in figure) having dielectric constant $K_1 = 2$ and $K_2 = 4$. The capacitance of the system will be