List of top Questions asked in MHT CET

An ideal gas taken through process ABCA. If net heat supplied is 5 J, find work done in process $C \to A$.

In an AC circuit containing L, C, R in series, the ratio of true power to apparent power is

Two wires of equal lengths are bent in the form of a square and a circular loop. They are suspended in a uniform magnetic field and same current is passed through them. Torque experienced by

When observer moves toward stationary source with $v_1$, apparent frequency is $F_1$. When moving away with $v_1$, it is $F_2$. If $F_1/F_2 = 2$, find $V/v_1$.

Five capacitors, each of capacitance C, are connected as shown. The ratio of equivalent capacitance between P and R ($C_{PR}$) and the equivalent capacitance between P and Q ($C_{PQ}$) 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 40 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

A solid sphere at rest rolls down an inclined plane of vertical height h without sliding. Its speed on reaching the bottom of plane is ($g=$ acceleration due to gravity)

Let $E_{e}$ and $E_{p}$ represent kinetic energy of electron and photon. If de-Broglie wavelength of photon is twice that of electron, find $E_p/E_e$ (speed of electron $= c/100$)}

A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest, its period is 'T'. With what acceleration 'a' should the lift be accelerated upward in order to reduce the period to $T/2$?

The frequency at resonance for the circuit is

The work done in splitting a water drop of radius R into 64 droplets is ($T=$ surface tension)

Lorentz magnetic force is acting on a particle of charge q moving with velocity $\vec{V}$ in a magnetic field $\vec{B}$. The work done by this force on the charged particle is}

Graph shows variation of fringe width (X) versus distance of the screen (D) in Young's experiment. The wavelength $\lambda$ is:

Two spherical black bodies have radii $R_{1}$ and $R_{2}$ and temperatures $T_{1}$ and $T_{2}$. If they radiate same power, then $R_2/R_1$ is}

If p-n junction diode is forward biased, then

The equation of the tangent to $y=be^{-x/a}$ at the point where it crosses the Y axis is}

The magnetic moment of electron due to orbital motion is proportional to ($n=$ principal quantum number)

A capacitor of unknown capacity is connected across a battery of V volt. The charge stored in it is Q coulomb. When potential across the capacitor is reduced by $V_{1}$ volt, the charge stored in it becomes $Q_{1}$ coulomb. The potential V is}

A same torque is applied to a disc and a ring of equal mass and radii then

If $0\le x\le\pi$ and $81^{\sin^{2}x}+81^{\cos^{2}x}=30$ Then $x$ takes the value}

If $f(x)=3x^{2}+2xf^{\prime}(1)+f^{\prime\prime}(2)$, then $f(x)=..........$

The equation of the plane passing through (1,1,1) and through the line of intersection of $x+2y-z+1=0$ and $3x-y-4z+3=0$ is

If $y=\tan^{-1}(\frac{1}{1+x+x^{2}})+\tan^{-1}(\frac{1}{x^{2}+3x+3})+\tan^{-1}(\frac{1}{x^{2}+5x+7})$ then $y^{\prime}(0)$ is}

The unit vectors perpendicular to the plane determined by the points $A(1,-1,2)$, $B(2,0,-1)$, $C(0,2,1)$ is

A manufacturing company produces two items, A and B. Machine I (max 640 mins): A takes 20, B takes 15. Machine II (max 500 mins): A takes 5, B takes 8. Profit: A is Rs 25, B is Rs 18. Formulation is: