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MAH-MHT CET (PCM/PCB) entrance exam Question Bank Solutions

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The moment of inertia of a circular disc of mass M and radius R about an axis passing through the centre of mass is I0. The moment of inertia of another circular disc of same mass and thickness but half the density about the same axis is ______.

[1] Rotational Dynamics
Chapter: [1] Rotational Dynamics
Concept: undefined >> undefined

The maximum range for the tropospheric transmission of radio wave of wavelength 3m using the transmitting antenna and receiving antenna of heights 100m and 60m respectively is ______.

[3] Kinetic Theory of Gases and Radiation
Chapter: [3] Kinetic Theory of Gases and Radiation
Concept: undefined >> undefined

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For the same cross-sectional area and for a given load, the ratio of depressions for the beam of a square cross-section and circular cross-section is ______.

[1] Rotational Dynamics
Chapter: [1] Rotational Dynamics
Concept: undefined >> undefined

A broadcast radio transmitter radiates 12 kW when percentage of modulation is 50%, then the unmodulated carrier power is ______.

[3] Kinetic Theory of Gases and Radiation
Chapter: [3] Kinetic Theory of Gases and Radiation
Concept: undefined >> undefined

A sphere of mass 'm' moving with velocity 'v' collides head-on another sphere of same mass which is at rest. The ratio of final velocity of second sphere to the initial velocity of the first sphere is ______. ( e is coefficient of restitution and collision is inelastic)

[4] Laws of Motion
Chapter: [4] Laws of Motion
Concept: undefined >> undefined

A big water drop is formed by the combination of 'n' small water drops of equal radii. The ratio of the surface energy of 'n 'drops to the surface energy of big drop is ______.

[2] Mechanical Properties of Fluids
Chapter: [2] Mechanical Properties of Fluids
Concept: undefined >> undefined

Which of the following quantity does not change due to damping of oscillations?

[5] Oscillations
Chapter: [5] Oscillations
Concept: undefined >> undefined

A disc of radius R and thickness `"R"/6` has moment of inertia/about an axis passing through its centre and perpendicular to its plane. Disc is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter is ______.

[1] Rotational Dynamics
Chapter: [1] Rotational Dynamics
Concept: undefined >> undefined

The moment of inertia of a body about a given axis is 1.2 kg-m2. Initially, the body is at rest. In order to produce, a rotational kinetic energy of 1500 J, an acceleration of 25 rad/s2 must be applied about that axis for a duration of ______.

[1] Rotational Dynamics
Chapter: [1] Rotational Dynamics
Concept: undefined >> undefined

A straight solenoid has 50 turns per cm in primary and 200 turns per cm in the secondary. The area of cross-section of the solenoid is 4 cm2. The mutual inductance is ______.

[10] Magnetic Fields Due to Electric Current
Chapter: [10] Magnetic Fields Due to Electric Current
Concept: undefined >> undefined

A power transmission line feeds input power at 2300 V to a stepdown transformer with its primary windings having 4000 turns. What should be the number of turns in the secondary in order to get output power at 230 V?

[3] Kinetic Theory of Gases and Radiation
Chapter: [3] Kinetic Theory of Gases and Radiation
Concept: undefined >> undefined

Three identical blocks A, B and C are placed on horizontal frictionless surface. The blocks A and C are at rest. But A is approaching towards B with a speed 10 m/s. The coefficient of restitution for all collision is 0.5. The speed of the block C just after the collision is ______.

[4] Laws of Motion
Chapter: [4] Laws of Motion
Concept: undefined >> undefined

A water-proofing agent changes the angle of contact ______

[2] Mechanical Properties of Fluids
Chapter: [2] Mechanical Properties of Fluids
Concept: undefined >> undefined

In an LC circuit ______

[5] Oscillations
Chapter: [5] Oscillations
Concept: undefined >> undefined

The angle of contact for a liquid which wets the surface of a solid is ____________.

[2] Mechanical Properties of Fluids
Chapter: [2] Mechanical Properties of Fluids
Concept: undefined >> undefined

Which of the following statements is incorrect?

[2] Mechanical Properties of Fluids
Chapter: [2] Mechanical Properties of Fluids
Concept: undefined >> undefined

What is the angle between resultant of A + B and A x B.

[2] Mechanical Properties of Fluids
Chapter: [2] Mechanical Properties of Fluids
Concept: undefined >> undefined

What will be the angle of contact of a liquid relative to a solid if forces of adhesion and cohesion are equal?

[2] Mechanical Properties of Fluids
Chapter: [2] Mechanical Properties of Fluids
Concept: undefined >> undefined

Each plate of a parallel plate condenser has surface area of 5 cm2. The distance between the plates is 2 mm. The dielectric constant of the medium between the plates is 5. Then the capacity of the condenser is ____________.

(`epsilon_0 = 8.85  xx 10^-12 C^2//Nm^2`)

[8] Electrostatics
Chapter: [8] Electrostatics
Concept: undefined >> undefined

For an ideal gas with initial pressure and volume Pi and Vi respectively, a reversible isothermal expansion happens, when its volume becomes V0. Then it is compressed to its original volume Vi by a reversible adiabatic process. If the final pressure is Pf then which of the following statements is true?

[4] Thermodynamics
Chapter: [4] Thermodynamics
Concept: undefined >> undefined
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