List of top Questions asked in MHT CET

The fundamental frequency of sonometer wire is 'n'. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be

Same current is flowing in two different a.c. circuits. First circuit contains only inductance and second contains only capacitance. If the frequency of a.c. is increased in both circuits, the current will

Six molecules of a gas in container have speeds 2 m/s, 5 m/s, 3 m/s, 6 m/s, 3 m/s, and 5 m/s. The r.m.s. speed is

If the power factor changes from 0.5 to 0.25 because impedance changes from $Z_1$ to $Z_2$ then $Z_1 = x Z_2$. The value of x is (Resistance remains constant)

During thermodynamic process, the increase in internal energy of a system is equal to the work done on the system. Which process does the system undergo?

The motion of the particle is given by the equation x = A $\sin \omega t$ + B $\cos \omega t$. The motion of the particle is

The relation between magnetic moment (M) of a current carrying circular coil and length (L) of the wire used is

In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is $\lambda$ is 'I'. The intensity at a point where the path difference is $\lambda/6$ is $[\cos \frac{\pi}{6} = \frac{\sqrt{3}}{2}][\lambda = \text{wavelength of light}][\cos \pi = -1]$

Out of the following molecules the one which represents the polar molecule is

Two current carrying identical coils are kept as shown in figure. The magnetic field at centre 'O' is (N and R represent the number of turns and radius of each coil respectively, $\mu_0$ = permeability of free space)

A motor cyclist has to rotate in horizontal circles inside the cylindrical wall of inner radius 'R' metre. If the coefficient of friction between the wall and the tyres is '$\mu_s$', then the minimum speed required is ( g = acceleration due to gravity)

Two sound waves travelling in the same direction have displacement $y_1 = a \sin(0.2\pi x - 50\pi t)$ and $y_2 = a \sin(0.15\pi x - 46\pi t)$. How many times, a listener can hear sound of maximum intensity in one second?

The energy needed for breaking a liquid drop of radius 'R' into 216 droplets, each of radius 'r' is 'x' times $TR^2$. The value of 'x' is [ T = surface tension of the liquid].

Two identical coils of inductance L joined in series are placed very close to each other such that the winding direction of one coil is exactly opposite to that of the other. The net inductance is

An object of mass 0.2 kg executes simple harmonic oscillations along the x-axis with frequency of $(\frac{25}{\pi}) Hz$. At the position $x = 0.04 m$, the object has kinetic energy 1 J and potential energy 0.6 J. The amplitude of oscillation is

A particle describes a horizontal circle on smooth inner surface of a cone as shown in figure. If the height of the circle above the vertex is 10 cm. The speed of the particle is (g, acceleration due to gravity = $10 m/s^2$)

A $4\mu F$ capacitor is charged to 10 V. The battery is then disconnected and a pure 10 mH coil is connected across the capacitor so that LC oscillations are set up. The maximum current in the coil is

Two stones of masses m and 3 m are whirled in horizontal circles, the heavier one in a radius $(\frac{r}{3})$ and lighter one in a radius r. The tangential speed of lighter stone is 'n' times the value of heavier stone. When the magnitude of centripetal force becomes equal the value of n is

An inextensible string of length 'l' fixed at one end, carries a mass 'm' at the other end. If the string makes $\frac{1}{\pi}$ revolutions per second around the vertical axis through the fixed end, the tension in the string is [The string makes an angle $\theta$ with the vertical]

A coil of n turns and resistance $R \Omega$ is connected in series with resistance $R/4$. The combination is moved for time t second through magnetic flux $\phi_1$ to $\phi_2$. The induced current in the circuit is

The gravitational pull of the moon is $(\frac{1}{6})^{th}$ of the earth and mass of moon is $(\frac{1}{8})^{th}$ of the earth. This implies that the

The amount of work done in blowing a soap bubble such that its diameter increases from $d_1$ to $d_2$ is (T = surface tension of soap solution)

A stationary object at $4^\circ C$ and weighing 3.5 kg falls from a height of 2000 m on snow mountain at $0^\circ C$. If the temperature of the object just before hitting the snow is $0^\circ C$ and the object comes to rest immediately then the quantity of ice that melts is (Acceleration due to gravity = $10 m/s^2$, Latent heat of ice = $3.5 \times 10^5 J/kg$)

Graph shows variation of stopping potential with frequency of incident radiation on a metal plate. The value of Planck's constant is [e = charge on photoelectron]

I - V characteristics of LED is shown correctly by graph