Download App

Oscillations — Physics STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 SciencePhysicsOscillations4 Marks
Question
State the differential equation of linear simple harmonic motion. Hence obtain the expression for acceleration, velocity and displacement of a particle performing linear S.H.M.
✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Answer the following in Detail" from Oscillations→Oscillations — all question types→Physics STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Permeability and Permittivity:
Magnetic Permeability is a term analogous to permittivity in electrostatics. It basically tells us about the number of magnetic lines of force that are passing through a given substance when it is kept in an external magnetic field. The number is the indicator of the behaviour of the material in magnetic field. For superconductors χ = – 1. If you substitute in the Eq. (11.18), it is observed that permeability of material µ = 0. This means no magnetic lines will pass through the superconductor.

Magnetic Susceptibility (χ) is the indicator of measure of the response of a given material to the external applied magnetic field. In other words it indicates as to how much magnetization will be produced in a given substance when kept in an external magnetic field. Again it is analogous to electrical susceptibility. This means when the substance is kept in a magnetic field, the atomic dipole moments either align or oppose the external magnetic field. If the atomic dipole moments of the substance are opposing the field, χ is observed to be negative, and if the atomic dipole moments align themselves in the direction of field, χ is observed to be positive. The number of atomic dipole moments of getting aligned in the direction of the applied magnetic field is proportional to χ. It is large for soft iron (χ >1000).

→
Distinguish between the forces experienced by a moving charge in a uniform electric field and in a uniform magnetic field.
→
A parallel beam of monochromatic light is incident on a glass slab at an angle of incidence $60^{\circ}$. Find the ratio of the width of the beam in glass to that in air if the refractive index of glass is $\frac{3}{2}$.
Data: $i =60, a n _g=1.5$
By Snell's law, ang $=\frac{\sin i}{\sin r} \therefore \sin r=\frac{\sin i}{\operatorname{sn} n_g}$
→
State the expressions for the displacement, velocity and acceleration of a particle performing linear SHM, starting from the mean position towards the positive extreme position. Hence, draw their graphs with respect to time. Draw your conclusions from the graphs.
OR
Represents graphically the displacement, velocity and acceleration against time for a particle performing linear SHM when it starts from the mean position.
→
State and explain Ampere's circuital law.State Ampere's circuital law.
→
Describe the construction and working of a transformer with a neat labelled diagram.
→
Obtain the differential equation of linear simple harmonic motion.
→
Obtain an expression for e.m.f. induced in a coil rotating with uniform angular velocity in a uniform magnetic field. Show graphically the variation of e.m.f. with time (t).
→
A rod of magnetic material of cross section $0.25 cm^2$ is located in $4000 Am ^{-1}$ magnetising field. Magnetic flux passing through the rod is $25 \times 10^{-6} Wb$. Find out (a) relative permeability (b) magnetic susceptibility and (c) magnetisation of the rod.
→
Derive an expression for the maximum safe speed for a vehicle on a circular horizontal road without toppling/overturning/rollover.
→