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Questions and Answers
Two point charges are placed a certain distance apart in a vacuum with a force F between them. If the charges are then placed in a medium with a dielectric constant of 5, and the distance between them is reduced by a factor of 5, what is the new force between them?
Two point charges are placed a certain distance apart in a vacuum with a force F between them. If the charges are then placed in a medium with a dielectric constant of 5, and the distance between them is reduced by a factor of 5, what is the new force between them?
- F/25
- 25F
- 5F (correct)
- F/5
A thin circular disc of mass M and radius R rotates with an angular velocity ω. A second disc of the same dimensions, but with mass M/2, is placed coaxially on the first. What is the new angular velocity of the system?
A thin circular disc of mass M and radius R rotates with an angular velocity ω. A second disc of the same dimensions, but with mass M/2, is placed coaxially on the first. What is the new angular velocity of the system?
- 5ω/4
- 3ω/2
- 4ω/5 (correct)
- ω/3
Which of the following options correctly represents Bernoulli's equation, where P is pressure, ρ is density, g is the acceleration due to gravity, and v is fluid velocity?
Which of the following options correctly represents Bernoulli's equation, where P is pressure, ρ is density, g is the acceleration due to gravity, and v is fluid velocity?
- P + ρgh + (1/2)pv² = constant (correct)
- P + ρgh + ρv² = constant
- P + ρgh + (1/2)ρv² = constant
- P + mgh + (1/2)mv² = constant
Two projectiles are launched with the same initial speed, one at an angle of 30° and the other at 60° to the horizontal. What is the ratio of the maximum heights reached by the projectile launched at 30° to that of the projectile launched at 60°?
Two projectiles are launched with the same initial speed, one at an angle of 30° and the other at 60° to the horizontal. What is the ratio of the maximum heights reached by the projectile launched at 30° to that of the projectile launched at 60°?
A real gas at 27°C in a closed chamber undergoes a cyclic process. For the path A to B, the gas obeys the equation PV^(1/3) = constant. Assuming R = 8 J/mol·K, what is the net work done in the complete cycle, given the points A and B on the PV diagram are at (4, 20) and B(2,10), respectively?
A real gas at 27°C in a closed chamber undergoes a cyclic process. For the path A to B, the gas obeys the equation PV^(1/3) = constant. Assuming R = 8 J/mol·K, what is the net work done in the complete cycle, given the points A and B on the PV diagram are at (4, 20) and B(2,10), respectively?
Light emerges from a convex lens with a point source at its focus. What describes the shape of the wavefront of the emerging light?
Light emerges from a convex lens with a point source at its focus. What describes the shape of the wavefront of the emerging light?
A 50 kg monkey climbs a rope that can withstand a tension of 350 N. First, the monkey climbs down with an acceleration of 4 m/s², and then climbs up with an acceleration of 5 m/s². Which of the following statements accurately describe the tensions?
A 50 kg monkey climbs a rope that can withstand a tension of 350 N. First, the monkey climbs down with an acceleration of 4 m/s², and then climbs up with an acceleration of 5 m/s². Which of the following statements accurately describe the tensions?
In the given electric circuit, the potentials at points a, b, and c are 30 V, 12 V, and 2 V, respectively. What is the current flowing through the 20Ω resistor?
In the given electric circuit, the potentials at points a, b, and c are 30 V, 12 V, and 2 V, respectively. What is the current flowing through the 20Ω resistor?
A moving coil galvanometer deflects π/3 radians with a current of 200 μA. What current is required to produce a deflection of π/10 radians?
A moving coil galvanometer deflects π/3 radians with a current of 200 μA. What current is required to produce a deflection of π/10 radians?
Given that the acceleration due to gravity at the Earth's surface is 9.8 m/s², what altitude above the Earth's surface is needed for gravity to decrease to 4.9 m/s²? (Assume Earth's radius = 6.4 × 10^6 m)
Given that the acceleration due to gravity at the Earth's surface is 9.8 m/s², what altitude above the Earth's surface is needed for gravity to decrease to 4.9 m/s²? (Assume Earth's radius = 6.4 × 10^6 m)
Which of the following relative permittivity (εr) and permeability (μr) values is plausible for a diamagnetic material?
Which of the following relative permittivity (εr) and permeability (μr) values is plausible for a diamagnetic material?
The magnetic flux through a coil varies with time t as φ = (5t³ + 4t² + 2t - 5) Weber. If the coil's resistance is 5 ohms, what induced current flows through the coil at t = 2 seconds?
The magnetic flux through a coil varies with time t as φ = (5t³ + 4t² + 2t - 5) Weber. If the coil's resistance is 5 ohms, what induced current flows through the coil at t = 2 seconds?
A metallic cube with a total surface area of 24 m² is uniformly heated, causing its temperature to increase by 10°C. Given that the coefficient of linear expansion α = 5.0 × 10⁻⁴ °C⁻¹, what is the approximate increase in the cube's volume?
A metallic cube with a total surface area of 24 m² is uniformly heated, causing its temperature to increase by 10°C. Given that the coefficient of linear expansion α = 5.0 × 10⁻⁴ °C⁻¹, what is the approximate increase in the cube's volume?
Two coils are placed in close proximity. The mutual inductance between the coils depends on what factor?
Two coils are placed in close proximity. The mutual inductance between the coils depends on what factor?
A proton, an electron, and an alpha particle are accelerated to the same kinetic energy. How do their De Broglie wavelengths compare?
A proton, an electron, and an alpha particle are accelerated to the same kinetic energy. How do their De Broglie wavelengths compare?
An ice cube contains an air bubble. Viewed from one side, the apparent distance of the bubble is 12 cm. Viewed from the opposite side, the apparent distance is 4 cm. If the side of the ice cube is 24 cm, what is the refractive index of the ice?
An ice cube contains an air bubble. Viewed from one side, the apparent distance of the bubble is 12 cm. Viewed from the opposite side, the apparent distance is 4 cm. If the side of the ice cube is 24 cm, what is the refractive index of the ice?
What is the longest wavelength associated with the Paschen series? (Rydberg constant, R_H = 1.097 × 10^7 m⁻¹)
What is the longest wavelength associated with the Paschen series? (Rydberg constant, R_H = 1.097 × 10^7 m⁻¹)
What is the approximate ratio of the mass densities of the nuclei of Calcium-40 (⁴⁰Ca) and Oxygen-16 (¹⁶O)?
What is the approximate ratio of the mass densities of the nuclei of Calcium-40 (⁴⁰Ca) and Oxygen-16 (¹⁶O)?
A 10 μC point charge is located at the origin. Where on the X-axis should a 40 μC point charge be placed so that the net electric field is zero at x = 2 cm?
A 10 μC point charge is located at the origin. Where on the X-axis should a 40 μC point charge be placed so that the net electric field is zero at x = 2 cm?
What does a magnetic needle experience when kept in a non-uniform magnetic field?
What does a magnetic needle experience when kept in a non-uniform magnetic field?
A rectangular loop PQRS with uniform wire carries a current. PR = QS = 5 cm, and PQ = RS = 100 cm. If the ammeter reading changes from I to 2I, what is the ratio of the magnetic force per unit length on wire PQ due to wire RS in the two cases?
A rectangular loop PQRS with uniform wire carries a current. PR = QS = 5 cm, and PQ = RS = 100 cm. If the ammeter reading changes from I to 2I, what is the ratio of the magnetic force per unit length on wire PQ due to wire RS in the two cases?
At what temperature does the root-mean-square (rms) velocity of a hydrogen molecule equal that of an oxygen molecule at 47°C?
At what temperature does the root-mean-square (rms) velocity of a hydrogen molecule equal that of an oxygen molecule at 47°C?
A light-emitting diode (LED) is fabricated using GaAs semiconducting material with a band gap of 1.42 eV. What is the approximate wavelength of the emitted light?
A light-emitting diode (LED) is fabricated using GaAs semiconducting material with a band gap of 1.42 eV. What is the approximate wavelength of the emitted light?
A steel wire with a mass per unit length of 7.0 × 10⁻³ kg/m is under a tension of 70 N. What is the speed of transverse waves in the wire?
A steel wire with a mass per unit length of 7.0 × 10⁻³ kg/m is under a tension of 70 N. What is the speed of transverse waves in the wire?
Two vessels, A and B, of equal volume are at the same temperature. Vessel A contains 1g of hydrogen, and vessel B contains 1g of oxygen. If PA and PB are the pressures in A and B, what is the ratio PA/PB?
Two vessels, A and B, of equal volume are at the same temperature. Vessel A contains 1g of hydrogen, and vessel B contains 1g of oxygen. If PA and PB are the pressures in A and B, what is the ratio PA/PB?
A wire of length 1 m, moving with a velocity of 8 m/s at right angles to a magnetic field of 2 T, experiences what magnitude of induced EMF between its ends?
A wire of length 1 m, moving with a velocity of 8 m/s at right angles to a magnetic field of 2 T, experiences what magnitude of induced EMF between its ends?
Two identical particles, each of mass 'm', revolve around a circle of radius 'a' due to their mutual gravitational attraction. What is the angular speed of each particle?
Two identical particles, each of mass 'm', revolve around a circle of radius 'a' due to their mutual gravitational attraction. What is the angular speed of each particle?
Why do electrons diffuse from the n-region to the p-region in an unbiased n-p junction?
Why do electrons diffuse from the n-region to the p-region in an unbiased n-p junction?
A particle is executing Simple Harmonic Motion (SHM). What is the ratio of its potential energy to kinetic energy when its displacement is half of its amplitude?
A particle is executing Simple Harmonic Motion (SHM). What is the ratio of its potential energy to kinetic energy when its displacement is half of its amplitude?
Eight equal-sized water drops are falling through air at a steady speed of 10 cm/s. If the drops coalesce into one larger drop, what is the new terminal velocity?
Eight equal-sized water drops are falling through air at a steady speed of 10 cm/s. If the drops coalesce into one larger drop, what is the new terminal velocity?
The current in a coil changes from -2 A to +2 A in 0.2 seconds, inducing an electromotive force (EMF) of 0.1 V. What is the self-inductance of the coil?
The current in a coil changes from -2 A to +2 A in 0.2 seconds, inducing an electromotive force (EMF) of 0.1 V. What is the self-inductance of the coil?
For a uniform rectangular sheet, what is the ratio of the moments of inertia about axes perpendicular to the sheet, one passing through the center of mass (O) and the other through a corner point (O'), given the dimensions are 60 cm and 80 cm?
For a uniform rectangular sheet, what is the ratio of the moments of inertia about axes perpendicular to the sheet, one passing through the center of mass (O) and the other through a corner point (O'), given the dimensions are 60 cm and 80 cm?
If 'n' represents the number density and 'd' represents the diameter of a gas molecule, which expression correctly describes the average distance a molecule travels between successive collisions (mean free path)?
If 'n' represents the number density and 'd' represents the diameter of a gas molecule, which expression correctly describes the average distance a molecule travels between successive collisions (mean free path)?
A mixture of one mole of a monoatomic gas and one mole of a diatomic gas (rigid) is maintained at room temperature (27°C). What is the ratio of the specific heats at constant volume, Cᵥ, for the mixture?
A mixture of one mole of a monoatomic gas and one mole of a diatomic gas (rigid) is maintained at room temperature (27°C). What is the ratio of the specific heats at constant volume, Cᵥ, for the mixture?
In an AC circuit, voltage and current are given by V = 100sin(100t) V and I = 100sin(100t + π/3) mA, respectively. What is the average power dissipated in the circuit over one complete cycle?
In an AC circuit, voltage and current are given by V = 100sin(100t) V and I = 100sin(100t + π/3) mA, respectively. What is the average power dissipated in the circuit over one complete cycle?
The threshold wavelengths for two metal surfaces, A and B, are measured with work functions φA = 9 eV and φB = 4.5 eV. What is the difference in their threshold wavelengths in nm? (Given, hc = 1242 eV nm)
The threshold wavelengths for two metal surfaces, A and B, are measured with work functions φA = 9 eV and φB = 4.5 eV. What is the difference in their threshold wavelengths in nm? (Given, hc = 1242 eV nm)
The logic performed by the following circuit is equivalent to which logic gate?
The logic performed by the following circuit is equivalent to which logic gate?
A particle performs simple harmonic motion (SHM) with an amplitude of A. Its speed is tripled at the instant when it is at a distance 2A/3 from the equilibrium position. What is the new amplitude of motion?
A particle performs simple harmonic motion (SHM) with an amplitude of A. Its speed is tripled at the instant when it is at a distance 2A/3 from the equilibrium position. What is the new amplitude of motion?
What is the approximate binding energy of a helium nucleus, given the masses of a proton, neutron, and helium nucleus are 1.0073 u, 1.0087 u, and 4.0015 u, respectively?
What is the approximate binding energy of a helium nucleus, given the masses of a proton, neutron, and helium nucleus are 1.0073 u, 1.0087 u, and 4.0015 u, respectively?
A series LCR circuit is driven by an AC signal of 200 V at 50 Hz. Given the voltage across the inductor (L = 10 mH) is 31.4 V, determine the current in this circuit.
A series LCR circuit is driven by an AC signal of 200 V at 50 Hz. Given the voltage across the inductor (L = 10 mH) is 31.4 V, determine the current in this circuit.
Two soap bubbles with radii 'a' and 'b' (where b > a) coalesce. What is the radius of curvature of the common surface formed?
Two soap bubbles with radii 'a' and 'b' (where b > a) coalesce. What is the radius of curvature of the common surface formed?
A liquid flows through a tube shaped like a truncated cone. Which statement about the flow is correct?
A liquid flows through a tube shaped like a truncated cone. Which statement about the flow is correct?
The velocity of sound in a gas allows two wavelengths, 4.08 m and 4.16 m, to produce 40 beats in 12 seconds. What is the velocity of sound in that gas?
The velocity of sound in a gas allows two wavelengths, 4.08 m and 4.16 m, to produce 40 beats in 12 seconds. What is the velocity of sound in that gas?
A thin spherical shell of radius R has a uniform surface charge density σ. What is the electric field at any point on the shell's surface?
A thin spherical shell of radius R has a uniform surface charge density σ. What is the electric field at any point on the shell's surface?
Flashcards
Electrostatic Force (Vacuum)
Electrostatic Force (Vacuum)
Force between two point charges in a vacuum at a distance 'r' cm.
New Angular Velocity
New Angular Velocity
The new angular velocity of the system, after placing another disc co-axially.
Bernoulli's Equation
Bernoulli's Equation
P + pgh + (1/2)pv^2 = constant
Angular Speed
Angular Speed
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Unbiased n-p Junction
Unbiased n-p Junction
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Total Energy in SHM
Total Energy in SHM
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Terminal Velocity
Terminal Velocity
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Alkali Metals
Alkali Metals
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Van't Hoff Factor
Van't Hoff Factor
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Oxidation Number
Oxidation Number
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Fluorine oxidation
Fluorine oxidation
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The E cell
The E cell
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Study Notes
General Instructions for MHT-CET 2024
- The question booklet contains 150 Multiple Choice Questions (MCQs).
- Section A includes Physics and Chemistry, with 50 questions each.
- Section B covers Mathematics, containing 50 questions.
- Candidates can choose the order and sequence for attempting questions.
- It is important to read each question carefully.
- Select the one correct answer from the four options provided for each question.
- Each correct answer will be awarded one mark.
- There is no negative marking for incorrect answers.
- No marks will be given for marking multiple answers, scratching, or overwriting.
- The duration of the paper is 3 hours.
Physics - Force Between Point Charges
- The force between two point charges ( q_1 ) and ( q_2 ) in vacuum, separated by a distance ( r ) cm, is ( F ).
- When these charges are placed in a medium with a dielectric constant ( K = 5 ) at a distance ( r/5 ) cm apart, the new force is ( 25F ) .
Physics - Rotating Circular Disc
- A thin circular disc has mass ( M ) and radius ( R ) rotates horizontally with angular velocity ( \omega ).
- Another disc of the same dimensions but mass ( M/2 ) is placed coaxially on the first disc.
- The new angular velocity of the system becomes ( \frac{2}{3} \omega ).
Physics - Bernoulli's Equation
- The correct form of Bernoulli's equation is: ( P + \rho g h + \frac{1}{2} \rho v^2 = \text{constant} )
- ( P ) is pressure, ( \rho ) is density, ( g ) is acceleration due to gravity, ( h ) is height, and ( v ) is fluid velocity.
Physics - Projectile Motion
- Two projectiles are launched at angles ( 30^\circ ) and ( 60^\circ ) with the same initial speed.
- The ratio of their maximum heights is ( 1:3 ).
Physics - Real Gas Cyclic Process
- A real gas undergoes a cyclic process in a closed chamber at ( 27^\circ C ).
- The gas obeys the equation ( PV^3 = RT ) for the path from A to B.
- The net work done in one complete cycle is ( 225 , \text{J} ), assuming ( R = 8 , \text{J/mol K} ).
Physics - Light Emerging from Convex Lens
- When light emerges from a convex lens with a source at its focus, the shape of the wavefront is a plane.
Physics - Monkey Climbing a Rope
- A monkey of mass 50 kg climbs a rope that can withstand a tension of 350 N.
- When the monkey climbs down with an acceleration of 4 m/s², the tension is 350 N.
- The rope will break if the monkey climbs upward with an acceleration of 5 m/s².
Physics - Electric Circuit
- In a given electric circuit, potentials at points a, b, and c are 30 V, 12 V, and 2 V, respectively.
- The current through the 20Ω resistor is 0.4 A.
Physics - Moving Coil Galvanometer
- A current of 200 µA deflects the coil of a moving coil galvanometer by 60°.
- A current of 60 µA is required to cause a deflection of ( \frac{\pi}{10} ) radian.
Physics - Acceleration Due to Gravity
- The acceleration due to gravity at the Earth's surface is 9.8 m/s².
- At an altitude of approximately ( 2.6 \times 10^6 ) m above the surface, the acceleration due to gravity decreases to 4.9 m/s².
- The radius of the earth is ( 6.4 \times 10^6 ) m.
Physics - Diamagnetic Material Properties
- For a diamagnetic material, typical values of relative permittivity ( \epsilon_r ) and permeability ( \mu_r ) are ( \epsilon_r = 0.5 ) and ( \mu_r = 0.5 ).
Physics - Varying Magnetic Flux Through a Coil
- The magnetic flux through a coil varies as ( \phi = 5t^3 + 4t^2 + 2t - 5 ) Weber.
- If the coil's resistance is 5 ohms, the induced current at ( t = 2 ) seconds is 16.6 A.
Physics - Heated Metallic Cube
- A solid metallic cube with a total surface area of 24 m² is uniformly heated.
- If the temperature increases by 10°C and the coefficient of linear expansion ( \alpha = 5.0 \times 10^{-4} , \text{°C}^{-1} ), the increase in volume is ( 6.0 \times 10^4 , \text{cm}^3 ).
Physics - Mutual Inductance of Two Coils
- The mutual inductance of two coils depends on the relative position and orientation of the two coils.
Physics - de-Broglie Wavelengths
- Given a proton, electron, and alpha particle with the same energy: ( \lambda_{electron} > \lambda_{proton} > \lambda_{alpha} )
Physics - Bubble Inside Ice Cube
- An ice cube contains a bubble.
- Viewed from one side, the bubble appears to be 12 cm from the surface.
- Viewed from the opposite side, the bubble appears to be 4 cm from the surface.
- If the ice cube's side is 24 cm, the refractive index of the ice is ( \frac{3}{2} ).
Physics - Paschen Series Longest Wavelength
- The longest wavelength associated with the Paschen series is ( 1.876 \times 10^{-6} , \text{m} ).
- Rydberg constant ( R_H = 1.097 \times 10^7 , \text{SI unit} ).
Physics - Nuclear Mass Density
- The ratio of the mass densities of nuclei of ( ^{40}\text{Ca} ) and ( ^{16}\text{O} ) is close to 1.
Physics - Net Electric Field Zero
- A ( 10 , \mu\text{C} ) point charge is at the origin.
- To achieve a net electric field of zero at ( x = 2 , \text{cm} ), a ( 40 , \mu\text{C} ) charge must be placed at ( x=6, \text{cm} ).
Physics - Magnetic Needle in Non-Uniform Field
- In a non-uniform magnetic field, a magnetic needle experiences both a force and a torque.
Physics - Rectangular Current Loop
- Considering a rectangular loop in a magnetic field, the ratio of magnetic forces per unit length on the wire PQ due to wire RS changes from 1:4 as current doubles.
Physics - RMS Velocity
- The r.m.s. velocity of a hydrogen molecule equals that of an oxygen molecule at 47°C at a temperature of 20K.
Physics - Wavelength of LED
- A light-emitting diode (LED) fabricated from GaAs material with a band gap of 1.42 eV emits light at a wavelength of 875 nm.
Physics - Speed of Transverse Waves on a Wire
- For a steel wire with mass per unit length ( 7.0 \times 10^{-3} , \text{kg/m} ) under a tension of 70 N, the speed of transverse waves will be 100 m/s.
Physics - Pressure in Vessels with Hydrogen and Oxygen
- For two vessels A and B of equal size and temperature containing 1g of hydrogen and 1g of oxygen respectively, the ratio PA / PB 32.
Physics - Induced EMF in a Moving Wire
- A wire of length 1 m moving at right angles to a 2T magnetic field with a velocity of 8 m/s has an induced emf of 16V.
Physics - Two Particles Under Mutual Gravitation
- Two identical particles each of mass 'm' go round a circle of radius under the action of their mutual gravitational attraction, the angular speed of each particle will be ( \sqrt{Gm/4a^3} ).
Physics - Unbiased n-p Junction
- In an unbiased n-p junction electrons diffuse from the n-region to the p-region because of greater electron concentration in the n-region compared to the p-region.
Physics - Potential Energy and Kinetic Energy in SHM
- A particle executing Simple Harmonic Motion (SHM) has a ratio of potential energy to kinetic energy of 1:3 when its displacement is half its amplitude.
Physics - Velocity of Coalesced Water Drops
- When eight equal drops of water falling through air at a steady speed of 10 cm/s coalesce, the new velocity is 40 cm/s.
Physics - Self-Inductance of a Coil
- In a coil, if the current changes from -2 A to +2 A in 0.2 s and induces an emf of 0.1 V, the self-inductance of the coil is 5 mH.
Physics - Moment of Inertia Ratio for Rectangular Sheet
- For a uniform rectangular sheet, the ratio of the moments of inertia about axes perpendicular to the sheet passing through the center of mass (O) and a corner point (O’) is determined.
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