MHT CET 2026 Physics Paper: 13 Apr, Shift 1

An alternating e.m.f. is given by $e = e_0 \sin \omega t$. In what time the e.m.f. will have half its maximum value, if 'e' starts from zero? ($\sin 30^\circ = 0.5$)

A resistor of 100 $\Omega$, inductor of self inductance $\left(\frac{4}{\pi^2}\right)$ H and a capacitor of unknown capacity are connected in series to an a.c. source of 200 V and 50 Hz. When the current and voltage are in phase, the value of capacity is

In series LCR circuit C = 2 uF, L=1 mH and R= 10 $\Omega$. What is the ratio of energies stored in the capacitor and inductor when maximum current flows through circuit?

In series LCR resonant circuit, R=800 $\Omega$, C = 2 $\mu$F and voltage across resistance is 200 V. The angular frequency is 250 rad/s. At resonance the voltage across the capacitance is

An electron is revolving in a circular orbit of radius 'r' in hydrogen atom. Using Bohr's theory, the angular momentum of the electron is

(M = magnetic dipole moment, m = mass of electron)

The ratio of centripetal acceleration for an electron revolving in 3rd and 5th Bohr orbit of hydrogen atom is

A condenser of capacity $C_1$ is charged to potential $V_1$ and then disconnected. Uncharged capacitor of capacity $C_2$ is connected in parallel with $C_1$. The resultant potential $V_2$ is

The capacitance of a capacitor becomes $\frac{7}{6}$ times the original value if dielectric slab of thickness $t = \frac{2d}{3}$ is introduced between the plates, where 'd' is the distance of separation between the plates. The dielectric constant of the slab is

Two identical parallel plate air capacitors are connected in series to a battery of e.m.f. 'V'. If one of the capacitor is inserted in liquid of dielectric constant 'K' then potential difference of the other capacitor will become

The relative angular speed of hour hand and minute hand of clock is

A string of length 'L' fixed at one end carries a mass 'm' at the other end. The string makes $\frac{3}{\pi}$ r.p.s. $\pi$ around the vertical axis through fixed end. The tension in the string is

A simple pendulum oscillates with an angular amplitude $\theta$. If the maximum tension in the string is twice the minimum tension then $\theta$ is

Which of the following graph represents the temperature (T) dependence of resistivity ($\rho$) of a semiconductor?

A potentiometer wire is 4 m long and potential difference of 3V is maintained between the ends. The e.m.f. of the cell which balances against a length of 100 cm of the poteniometer wire is

Two wires A and B of equal lengths are connected in left and right gap respectively of a metre bridge, null point is obtained at 40 cm from left end. Diameters of the wires A and B are in the ratio 3:1 respectively, the ratio of specific resistance of A to that of B is

Energy of the incident photons on the photosensitive metal surface is 3W and then 5W where 'W' is the work function of that metal. The ratio of velocities of the emitted photoelectrons is

Which one of the four graphs showing lines P, Q, R and S between maximum kinetic energy (E) and intensity of incident radiation (I) is correct?

Two coils P and Q have mutual inductance 'M' H. If the current in the coil P is $I = I_0 \sin \omega t$, then the maximum value of e.m.f. induced in coil Q is

The current flowing through the inductor of self inductance 'L' is continuously increasing at constant rate. The variation of induced e.m.f. (e) versus $\frac{dI}{dt}$ is shown graphically by figure

A charge 'Q' C is placed at the centre of a cube. The electric flux through two opposite faces of the cube is

($\epsilon_0$ = permittivity of free space)

A body is projected vertically from earth's surface of radius R with velocity equal to half the escape velocity. The maximum height reached by the body is

Rate of radiation by a black body is 'R' at temperature 'T'. Another body has same area but emissivity is 0.2 and temperature 3T. Its rate of radiation is

A black rectangular surface of area A emits energy E per unit time at $27^\circ$ C. If length and breadth is reduced to $\left(\frac{1}{4}\right)^{th}$ of initial value and temperature is raised to $327^\circ$ C, then energy emitted per unit time becomes

An iron rod is placed parallel to magnetic field intensity 2000 A/m. The magnetic flux through rod is $6 \times 10^{-4}$ wb and its cross sectional area is 3 cm${}^{2}$. The magnetic permeability of the rod in wb/A-m is

The magnetic flux near the axis and inside the air core solenoid of length 60 cm carrying current I is $\frac{\pi}{2} \times 10^{-6}$ Wb. Its magnetic moment will be (cross-sectional area is very small as compared to length of solenoid, $\mu_0$ = Permeability of free space = $4\pi \times 10^{-7}$ SI unit)

If the number of turns in the coil of a moving coil galvanometer decreases, the resistance of the galvanometer,

A spring executes S.H.M. with mass 10 kg attached to it. The force constant of spring is 10 N/m. If at any instant its velocity is 40 cm/s, the displacement at that instant is

(Amplitude of S.H.M. is 0.5 m)

If a parallel beam of light is incident on spherical mirrors then after reflection they pass through focal point. If F is the focal length and R is the radius of curvature of mirror then

A body slides down a smooth inclined plane of inclination $\theta$ and reaches the bottom with velocity 'V'. If the same body is a ring which rolls down the same inclined plane then linear velocity at the bottom of the plane is

A disc of radius 0.4 m and mass 1 kg rotates about an axis passing through its centre and perpendicular to its plane. The angular acceleration is 10 rad/s$2$. The tangential force applied to the rim of the disc is

In transistor amplifier, base emitter junction is forward biased and collector base junction is reversed biased. The current gain is

In common emitter mode of transistor, the d.c. current gain is 20, the emitter current is 7 mA. The collector current is

Three liquids have same surface tension and have densities $\rho_1, \rho_2$ and $\rho_3\ (\rho_1 > \rho_2 > \rho_3)$. In three identical capillaries rise of liquid is same. The corresponding angles of contact $\theta_1, \theta_2$ and $\theta_3$ are related as

The work done in splitting a water drop of radius 'R' into 64 droplets is (T is the surface tension of water)

Two small drops of liquid of same radius coalesce to form a big drop. The ratio of the total surface energies after and before the change is

The change in internal energy of the mass of gas, when the volume changes from V to 2V at constant pressure P is ($\gamma$ is the ratio of specific heat at constant pressure to that of volume) ($\gamma = \frac{C_p}{C_v}$)

An ideal gas expands adiabatically ($\gamma = 1.5$). To reduce the r.m.s. velocity of the molecules 3 times the gas has to be expanded

A celsius and a Fahrenheit thermometer are dipped in boiling water. The temperature of water is lowered until the Farenheit thermometer shows $140^\circ$. What is the fall in temperature on the Celsius thermometer?

The period of oscillation of a simple pendulum is $T = 2\pi(L/g)^{1/2}$. Measured value of 'L' is 10 cm known to 1 mm accuracy and time for 100 oscillations is 50 second, using a watch of 1 second resolution. The percentage error in the measurement of 'g' is

According to Boyle's law, the product PV remains constant. The SI unit of PV is same as that of

The vector sum of the two forces $\vec{A}$ and $\vec{B}$ is perpendicular to their vector difference. Hence forces $\vec{A}$ and $\vec{B}$ are

In fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $t$ second. The frequency of vibration of air column is

($\lambda$ = wavelength of the wave)

In a stationary wave, all the particles

A sonometer wire is vibrating in third overtone. There are

Waves having a velocity 10m/s, strike a stationary boat near the sea shore. The distance between two consecutive crests of the waves is 40m. After how many second, the consecutive waves strike the boat?

A musical instrument P produces sound waves of frequency 'n' and amplitude 'A'. Another musical instrument Q produces sound waves of frequency n/4. The waves produced by P and Q have equal energies. The amplitude of waves produced by Q will be

Choose the correct statement from the following.

Brewster's angle for a transparent medium is

According to corpuscular theory of light, Which is NOT the property of light?

In Young's double slit experiment, the angular width of a fringe is found to be $0.2^\circ$ on a screen placed 1m away. The wavelength of light used in 600 nm. If the entire apparatus is immersed in water of refractive index 4/3. the angular width of the fringe will be