List of top Questions asked in MHT CET

Out of the following statements which is NOT the characteristics of electric lines of force? ______.
Three capacitors are connected to a battery as shown in figure. The ratio of charge on capacitors $C_3$ and $C_1$ is ______.
(Assuming standard bridge configuration where $C_1$ is in series with parallel $C_2, C_3$ based on OCR artifacts, or the visual Delta where battery connects to the base)
An ideal gas expands adiabatically, ($\gamma = 1.5$). To reduce the r.m.s. velocity of the molecules 4 times, the gas has to be expanded ______.
A spring executes S.H.M. with mass 1 kg attached to it. The force constant of the spring is 4 N/m. If at any instant its velocity is 20 cm/s, the displacement at that instant is (Amplitude of S.H.M. is 0.4 m) ______.
A resistor of 5 $\Omega$, inductor of self inductance $\left(\frac{2}{\pi}\right)$ H and a capacitor of unknown capacity are connected in series to an a.c. source of 100 V, 50 Hz supply. When the voltage and current are in phase, the value of capacitance is ______.
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 '$\lambda$'?
A rigid body rotates about a fixed axis with variable angular velocity $(\alpha - \beta t)$ at time $t$, where $\alpha$ and $\beta$ are constants. The angle through which it rotates before it comes to rest is ______.
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 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.) ______.
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 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) ______.
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 ______.
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 ______.
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 ______.
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 ______.
The ratio of the frequencies of two simple pendulums is 4 : 3 at the same place. The ratio of their respective lengths is ______.
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 ______.
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 ______.

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 ______.
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 ______.
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 error in the measurement of length and mass is 3% and 4% respectively. The error in the measurement of density will be ______.
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 ($\lambda_2 = 1.5\lambda_1$) ______.
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 ______.