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HSC Science (General) इयत्ता १२ वी - Maharashtra State Board Important Questions

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Choose the correct alternative:

`int (x + 2)/(2x^2 + 6x + 5) "d"x = "p"int (4x + 6)/(2x^2 + 6x + 5) "d"x + 1/2 int 1/(2x^2 + 6x + 5)"d"x`, then p = ?

Appears in 3 question papers
Chapter: [10] Indefinite Integration
Concept: Methods of Integration: Integration Using Partial Fractions

If the population of a town increases at a rate proportional to the population at that time. If the population increases from 40 thousand to 60 thousand in 40 years, what will be the population in another 20 years? `("Given" sqrt(3/2) = 1.2247)`

Appears in 3 question papers
Chapter: [13] Differential Equations
Concept: Application of Differential Equations

From a lot of 15 bulbs which include 5 defectives, a sample of 4 bulbs is drawn one by one with replacement. Find the probability distribution of number of defective bulbs. Hence find the mean of the distribution.

Appears in 3 question papers
Chapter: [14] Probability Distributions
Concept: Random Variables and Its Probability Distributions

Draw a diagram showing all components of forces acting on a vehicle moving on a curved banked road. 

Appears in 3 question papers
Chapter: [1] Circular Motion
Concept: Banking of Roads

Derive an expression for the kinetic energy of a rotating body with uniform angular velocity. 

Appears in 3 question papers
Chapter: [1] Rotational Dynamics
Concept: Rotational Dynamics

State the theorem of parallel axes about moment of inertia.

Appears in 3 question papers
Chapter: [3] Angular Momentum
Concept: Physical Significance of M.I (Moment of Inertia)

Obtain the differential equation of linear simple harmonic motion.

Appears in 3 question papers
Chapter: [4] Oscillations
Concept: Differential Equation of Linear S.H.M.

Obtain the differential equation of linear simple harmonic motion.

Appears in 3 question papers
Chapter: [5] Oscillations
Concept: Differential Equation of Linear S.H.M.

What is Brewster’s law? Derive the formula for Brewster’s angle.

Appears in 3 question papers
Chapter: [7] Wave Optics
Concept: Polarization

What are coherent sources of light? 

Appears in 3 question papers
Chapter: [7] Wave Optics
Concept: Interference

What is the value of resistance for an ideal voltmeter?

Appears in 3 question papers
Chapter: [9] Current Electricity
Concept: Potentiometer

A solenoid of length π m and 5 cm in diameter has a winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its centre along the radius.

Appears in 3 question papers
Chapter: [10] Magnetic Fields Due to Electric Current
Concept: Applications of Ampere’s Circuital Law > Magnetic Field of a Toroidal Solenoid

What is Magnetic intensity?

Appears in 3 question papers
Chapter: [11] Magnetic Materials
Concept: Magnetisation and Magnetic Intensity

Obtain an expression for the orbital magnetic moment of an electron rotating about the nucleus in an atom.

Appears in 3 question papers
Chapter: [11] Magnetic Materials
Concept: Origin of Magnetism in Materials

State the principle on  which transformer works.

Appears in 3 question papers
Chapter: [12] Electromagnetic Induction
Concept: Transformers

State Lenz’s Law.

Appears in 3 question papers
Chapter: [12] Electromagnetic Induction
Concept: Faraday's Laws of Electromagnetic Induction

What is electromagnetic induction?

Appears in 3 question papers
Chapter: [12] Electromagnetic Induction
Concept: Electromagnetic Induction

State applications of eddy currents.

Appears in 3 question papers
Chapter: [12] Electromagnetic Induction
Concept: Eddy Currents or Foucault Currents

An alternative voltage given by V = 140 sin 314t is connected across a pure resistor of 50 Ω. Find

  1. The frequency of the source.
  2. The rms current is through the resistor.
Appears in 3 question papers
Chapter: [13] AC Circuits
Concept: Different Types of AC Circuits: AC Voltage Applied to a Resistor

What is the value of resistance for an ideal voltmeter?

Appears in 3 question papers
Chapter: [13] Current Electricity
Concept: Potentiometer
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