List of top Questions asked in MHT CET- 2025

The temperature at which oxygen molecules will have same r.m.s. speed as helium molecules at 57$^\circ$C is (molecular masses of oxygen and helium are 32 and 4 respectively.) ______.
A single slit diffraction pattern is formed with white light. For what wavelength of light the 4th secondary maximum in diffraction pattern coincides with the 3rd secondary maximum in the pattern of light of wavelength '$\lambda$'?
The capacity of air filled parallel plate capacitor is $C_0$. One-half of the space between the plates is filled with a dielectric constant 'K' as shown in figure. The new capacity becomes $C_n$. The ratio $C_n$ to $C_0$ is ______.
The difference in length between two rods A and B is 60 cm at all temperatures. If $\alpha_A = 18 \times 10^{-6}/^\circ C$ and $\alpha_B = 27 \times 10^{-6}/^\circ C$, then the length of rod A and rod B at $0^\circ C$ is respectively ______.
Charges of $2\mu C$ and $-3\mu C$ are placed at two points A and B separated by distance of 1 m. The distance of the point from A where net potential is zero is ______.
The wavelength '$\lambda$' of a photon and the deBroglie wavelength of an electron have same value. The ratio of kinetic energy of the electron to the energy of a photon is ______.
Two black spheres P & Q have radii in the ratio 4 : 3. The wavelength of maximum intensity of radiation are in the ratio 4 : 5 respectively. The ratio of radiated power by P to Q is ______.
The heat energy that must be supplied to 14 gram of nitrogen at room temperature to raise its temperature by $48^\circ C$ at constant pressure is (Molecular weight of nitrogen = 28, R = gas constant, $C_p = 7/2 R$ for diatomic gas) ______.
A monochromatic ray of light is incident normally on a thin prism of refracting angle A. The ray is deviated through an angle $(1.15)^\circ$ in passing through the prism. The ray reflected internally from the second face emerges from the first face making an angle of $(6.3)^\circ$ with the incident ray. The refractive index of the prism is ______.
An infinitely long straight conductor carrying current 'I' is bent into a shape as shown in figure. The radius of the circular loop is 'r'. The magnetic induction at the centre of the loop at point 'O' is ______.

Two circuits A and B are connected to identical d.c. sources each of e.m.f. 10 volt. Self-inductances are $L_A = 10$ H and $L_B = 10$ mH. The total resistance of each circuit is 40 $\Omega$. The ratio of energy consumed in circuit A and circuit B to build up the current to steady value is ______.
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 ______.
Let $R_1, R_2$ and $R_3$ be the radii of three mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is ______.
The ratio of the frequencies of two simple pendulums is 4 : 3 at the same place. The ratio of their respective lengths is ______.
Moment of inertia of a solid sphere about its diameter is 'I'. It is then casted into 27 small spheres of same diameter. The moment of inertia of each small sphere about its diameter is ______.
In Young's double slit experiment, the distance between the slits is 2 mm and the slits are 1 m away from the screen. Two interference patterns can be obtained on the screen due to light of wavelength '$\lambda_1$' and '$\lambda_2$' respectively. The separation on the screen between the 3rd order bright fringes on the two interference patterns is ($\lambda_2 = 1.5\lambda_1$) ______.
A bar of iron having magnetic moment 2.4 Am$^2$ weighs 66 g. If the density of the material of the bar is 7700 kg/m$^3$, the intensity of magnetisation in Am$^{-1}$ is ______.
The error in the measurement of length and mass is 3% and 4% respectively. The error in the measurement of density will be ______.
L, C and R are connected in series to an a.c. source. Which one of the following is true? Phase relation between current and voltage is such that ______.
The potentiometer wire is 5 m long and potential difference of 4 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 200 cm of the potentiometer wire is ______.
A source of sound emits sound wave of frequency 'f' and moves towards an observer with a velocity $V/3$ where $V$ is the velocity of sound. If the observer moves away from the source with a velocity $V/5$ the apparent frequency heard by him will be ______.
A sphere of mass 'm', moving with velocity '3u' collides head-on with another identical sphere at rest. If 'e' is coefficient of restitution then what will be the ratio of velocity of the second sphere to that of first sphere after collision?
An air column is of length 17 cm. The ratio of frequencies of 5th overtone if the air column is closed at one end to that open at both ends is (velocity of sound in air = 340 ms$^{-1}$) ______.
A body weighs 45 N on the surface of the earth. The gravitational force on a body due to earth at a height equal to half the radius of earth will be ______.
Moment of inertia of the rod about an axis passing through the centre and perpendicular to its length is '$I_1$'. The same rod is bent into a ring and its moment of inertia about the diameter is '$I_2$'. Then $I_1/I_2$ is ______.