MHT CET 2026 Physics Paper: 15 May, Shift 1

If a transformer of an amplifier has output impedance $8000\ \Omega$ and the speaker has input impedance of $8\ \Omega$, the primary and secondary turns of this transformer connected between the output of amplifier and to loudspeaker should have the ratio

The natural frequency of L-C circuit is $125000$ Hz. Then the capacitor C is replaced by another capacitor with a dielectric medium of dielectric constant K. Now the frequency decreases by $25$ KHz. The value of K is

Which one of the following graph represents the correct variation of inductive reactance ($X_L$) with angular frequency ($\omega$)?

An alternating voltage $V = 200\sqrt{2} \sin(100t)$ volt is connected to $1\ \mu F$ capacitor through a.c. ammeter. The reading of ammeter is

An electron of stationary hydrogen atom jumps from 4th energy level to ground level. The recoil velocity of the atom as a result of electron transition will be

($h$ = Planck's constant, $R$ = Rydberg's constant, $m =$ mass of hydrogen atom)

The electrostatic force ($F$) between the metal plates of an isolated parallel plate capacitor ($C$) having a charge $Q$ and area $A$ is ($d$ = distance between the plates)

Angular velocity of hour hand of a watch is (in rad/s)

The maximum and minimum tensions in the string whirling in a circle of radius $2.5$ m are in the ratio $5 : 3$ then its velocity is ($g = 10$ m/s$^{2}$)

A resistor of $6\ \Omega$ with a tolerance of $10\%$ and another of $4\ \Omega$ with a tolerance of $10\%$ are connected in series. The tolerance of combination is about

Potentiometer wire of length $1$m is connected in series with $490\ \Omega$ resistance and $2$ V battery. If $0.2$ mV/cm is the potential gradient then the resistance of the potentiometer wire is

With resistance $x$ in the left gap and resistance $9\ \Omega$ in right gap of a meter bridge, the balance point is obtained at $40$ cm from left end. In what way and to which resistance $3\ \Omega$ resistance be connected to obtain the balance point at $50$ cm from the left end?

An electron of mass $m$ and charge $e$ initially at rest gets accelerated by a constant electric field $E$. The rate of change of de-Broglie wavelength of the electron at time $t$ is

($h$ = Planck's constant)

Light of wavelength $\lambda$ strikes a photoelectric surface and electrons are ejected with an energy $E$. If $E$ is to be increased to exactly twice its original value, the wavelength changes to $\lambda_1$ where

Two similar circular loops carry equal currents in the same direction. On moving coils further apart, the electric current will

A conducting rod AC of length $4L$ is rotated counter-clockwise about a point O in a uniform magnetic field $B$ directed into the paper. If $AO = L$ and $OC = 3L$ then ($\omega$ = angular speed)

Two charged identical metal spheres A and B repel each other with a force $3 \times 10^{-5}$ N. Another identical uncharged sphere C is touched with A and then placed at the mid-point between A and B. Net force on C is $x \times 10^{-5}$ N. The value of $x$ is

A large insulated sphere of radius $r$, charged with $Q$ C is placed in contact with a small insulated uncharged sphere of radius $r_1$ and is then separated. The charge on the smaller sphere will now be

A charge $10\ \mu\text{C}$ exists at the centre of a square. The work done in moving a $2\ \mu\text{C}$ point charge from corner A to corner B of a square ABCD is

The kinetic energy of a revolving satellite (mass $m$) at a height equal to thrice the radius of the earth ($R$) is ($g$ = acceleration due to gravity)

The temperature of a black body is increased by $50\%$ then the percentage increase of radiation is nearly

A magnetising field of $5000$ A/m produces a magnetic flux of $4 \times 10^{-5}$ Wb in an iron rod of cross- sectional area $0.4$ cm${}^{2}$. The permeability of the rod (in Wb/Am) is

Two circular coils A and B are made from same wire but the radius of coil A is twice that of coil B. If the magnetic field at their centres is same then the ratio potential difference applied across them is

When an electron is kept in a strong magnetic field, then

A radioactive sample $S_1$ having activity $A_1$ has twice the number of nuclei as another sample of $S_2$ of activity $A_2$. If $A_2 = 2A_1$ then the ratio of half life of $S_1$ to the half life of $S_2$ is

The period of S.H.M. of a particle is $12$s. The phase difference between the positions at $t = 3$s and $t = 4$s will be

Two simple pendulums, A of mass $M_1$ and length $L_1$, and B of mass $M_2$ and length $L_2.\ M_1 = M_2$ and $L_1 = 2L_2$. If vibrational energies of both are same then which one of the following is correct?

A body of mass $64$ g is made to oscillate turn by turn on two different springs A and B. Spring A and B has force constant $4$ N/m and $16$ N/m respectively. If $T_1$ and $T_2$ are the period of oscillations of springs A and B respectively, then $(T_1+T_2)/(T_1-T_2)$ will be

An achromatic convergent doublet of two lenses in contact has a power of $+2D$. The convex lens has power $+5D$. What is the ratio of the dispersive powers of the convergent and divergent lenses?

A square frame ABCD is formed by 4 identical rods each of mass $m$ and length $\ell$. This frame is in XY plane such that side AB coincides with x-axis and side AD along y-axis. The moment of inertia of the frame about x-axis is

A thin uniform rod of length $L$ and mass $m$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $\omega$. Its centre of mass rises to a maximum height of ($g$ = acceleration due to gravity)

In semiconductors, at room temperature the

In an n-p-n transistor in common emitter configuration when $V_{BE}$ is increased by small amount then

If an alternating voltage is applied across a diode in series with a load resistance then

A $20$ cm long capillary is dipped vertically in water. Water rises to $8$ cm. If the arrangement is put in a freely falling elevator, the length of water column in capillary tube will be

A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be

The gas in a vessel is subjected to a pressure of $20$ atm. at $27^\circ$ C. Now half of the gas is released from the vessel and the temperature is raised by $50^\circ$ C. The pressure of a gas in a vessel is nearly

One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown. The change in internal energy of the gas during the transition is

We consider a thermodynamic system. If $\Delta U$ is the increase in internal energy and $W$ is the work done by the system, which one of the following statement is true?

How much heat energy in joule must be supplied to $14$ g of nitrogen at room temperature to raise its temperature by $40^\circ$C at constant pressure?

(molecular wt. of nitrogen = $28$ g, $R$ = gas constant) (gas is diatomic)

An iron tyre is to be fitted on to a wooden wheel $1.0$ m in diameter. The diameter of the tyre is $6$ mm smaller than that of the wheel. The tyre should be heated so that its temperature increases by a minimum of

(coefficient of volume expansion of iron = $3.6 \times 10^{-5}/^\circ$C)

If $|\vec{A} \times \vec{B}| = \sqrt{3}(\vec{A} \cdot \vec{B})$ then the value of $|\vec{A} + \vec{B}|$ is ($\tan 60^\circ = \sqrt{3} \quad \cos 60^\circ = \frac{1}{2}$)

If terminal speed of a sphere of gold (density = $19.5$ kg/m$^{3}$) is $0.2$ m/s in viscous liquid (density = $1.5$ kg/m$^{3}$ ), find the terminal speed of a sphere of silver (density = $10.5$ kg/m$^{3}$) of the same size in the same liquid.

The equation of a wave is $y = 0.07\sin(12\pi x - 3000\pi t)$ where $x$ is in metre and $t$ is in second then $1$ m m

A transverse wave is propagating on the string. The linear density of vibrating string is $10^{-3}$ kg/m. The equation of the wave is $Y = 0.05\sin(x + 15t)$ where $x$ and $Y$ are in metre and time in second. The tension in the string is

The speed of a wave on a string is $150$ m/s when the tension is $120$ N. The percentage increase in the tension to raise the wave speed by $20\%$ is

A uniform wire of length $L$, diameter $D$ and density $\rho$ is stretched under tension $T$. The relation between its fundamental frequency $f$, length $L$ and diameter $D$ is

According to Huygens principle, a wave front propagates through a medium by

In Young's experiment, one of the slit is covered with a transparent sheet of thickness $3.6 \times 10^{-3}$ cm due to which position of central image shifts to a position originally occupied by $30^{th}$ bright fringe. The refractive index of the sheet is ($\lambda = 6000$ \AA)

In double slit experiment, the angular width of the fringes is $0.20^\circ$ for sodium light ($\lambda = 5890$ \AA). To increase the angular width of the fringes by $10\%$, the necessary change in wavelength is