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HSC Science (General) 12th Standard Board Exam - Maharashtra State Board Important Questions

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Two S.H.M.’s have zero phase difference and equal amplitudes A. The resultant amplitude on their composition will be ______ 

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M.

A simple pendulum moves from one end to the other in ¼ second. What is its frequency?

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M.

State the formula for the frequency of S.H.M in terms of force constant. 

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Free Oscillations, Forced Oscillations and Resonance Oscillations

What does the phase of π/2 indicate in linear S.H.M.? 

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Linear Simple Harmonic Motion (S.H.M.)

Define linear S.H.M.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Linear Simple Harmonic Motion (S.H.M.)

The acceleration due to gravity on the surface of the moon is 1.7 m/s2. What is the time period of a simple pendulum on the surface of the moon if its time period on the surface of the earth is 3.5 s? (g on the surface of earth = 9.8 m/s2

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M.

Obtain an expression for the resultant amplitude of, the composition of two S.H.M.’s having the same period along the same path.  

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Amplitude (A), Period (T) and Frequency (N) of S.H.M.

Define angular S.H.M. and obtain its differential equation.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Angular S.H.M. and It's Differential Equation

Using the differential equation of linear S.H.M., obtain an expression for acceleration, velocity, and displacement of simple harmonic motion. 

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.

Write the differential equation for angular S.H.M.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Angular S.H.M. and It's Differential Equation

A 0.1 H inductor a 25 × 10-6 F capacitor and a 15 Ω resistor are connected in series to a 120 V, 50 Hz AC source. Calculate the resonant frequency.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Free Oscillations, Forced Oscillations and Resonance Oscillations

Derive a formula for the length of second's pendulum.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Simple Pendulum

A particle performing Linear S.H.M. has a maximum velocity 25 cm/sand maximum acceleration 100 cm/s2. Find the period of oscillations.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Differential Equation of Linear S.H.M.

Calculate the velocity of a particle performing S.H.M. after 1 second, if its displacement is given by x = `5sin((pit)/3)`m.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Acceleration (a), Velocity (v) and Displacement (x) of S.H.M.

A bar magnet of mass 120 g in the form of a rectangular parallelepiped, has dimensions l = 40 mm, b = 10 mm and h = 80 mm, with its dimension ‘h’ vertical, the magnet performs angular oscillations in the plane of the magnetic field with period π seconds. If the magnetic moment is 3.4 Am2, determine the influencing magnetic field.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Angular S.H.M. and It's Differential Equation

The displacement of a particle performing simple harmonic motion is `1/3` rd of its amplitude. What fraction of total energy will be its kinetic energy?

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Linear Simple Harmonic Motion (S.H.M.)

The velocity of bob of a second’s pendulum when it is 6 cm from its mean position and amplitude of 10 cm, is ______.

Appears in 1 question paper
Chapter: [5] Oscillations
Concept: Simple Pendulum

The fundamental frequency of an air column in a pipe closed at one end is in unison with the third overtone of an open pipe. Calculate the ratio of lengths of their air columns

Appears in 1 question paper
Chapter: [6] Superposition of Waves
Concept: Study of Vibrations of Air Columns

The energy of the free surface of a liquid drop is 5π times the surface tension of the liquid. Find the diameter of the drop in C.G.S. system.

Appears in 1 question paper
Chapter: [6] Surface Tension
Concept: Surface Tension

The surface tension of water at 0°C is 75.5 dyne/cm. Calculate surface tension of water at 25°C.

(α for water = 2.7×10-3/°C)

Appears in 1 question paper
Chapter: [6] Surface Tension
Concept: Surface Tension
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