Download App

Oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsOscillations3 Marks
Question
What is Simple Harmonic Motion? Show that in $\text{S.H.M}$., acceleration is directly proportional to its displacement at a given instant.
✓

Answer

Simple Harmonic Motion :
  1. Motion is always directed towards a fixed point or equilibrium point.
  2. Motion being represented by bounded trigonometric functions.
  3. Acceleration is directly proportional to negative of displacement, i.e., $\text{a}\propto-\text{x}$
Equation for $\text{S.H.M.}$
Acceleration $=-\omega^2\text{x}$
$\Rightarrow\frac{\text{d}^2\text{x}}{\text{dt}^2}+\omega^2\text{x}=0,\omega=2\pi\text{f}$
$\omega$ is angular frequency $($radian$/$ sec$), f$ is linear fiequency $(s^{-1}) $or $($hertz$)$

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 "3 Marks Question" from Oscillations→Oscillations — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The radius of atom is of the order of $\mathring{\text{A}}$ and radius of nucleus is of the order of fermi. How many magnitudes higher is the volume of atom as compared to the volume of nucleus?
→
Find the pressure required to compress a gas adiabatically at atmospheric pressure to one fifth of its volume $(\gamma=1.4)$
→
Consider a sunlike star at a distance of 2 parsecs. When it is seen through a telescope with 100 magnification, what should be the angular size of the star? Sun appears to be $\Big(\frac{1}{2}\Big)^0$ from the earth. Due to atmospheric fluctuations, eye can’t resolve objects smaller than 1 arc minute.
→
If heavier bodies are attracted more strongly by the earth, why don't they fall faster than the lighter bodies?
→
The thickness of a glass plate is measured to be 2.17mm, 2.17mm and 2.18mm at three different places. Find the average thickness of the plate from this data.
→
A ball bounces to $80\%$ of its original height. What fraction of its mechanical energy is lost in each bounce?
→
Which is greater; the angular velocity of the hour hand of a watch or angular velocity of earth around its own axis?
→
Water is filled in a rectangular tank of size $3m \times 2m \times 1m$.
  1. Find the total force exerted by the water on the bottom surface of the tank.
  2. Consider a vertical side of area $2m \times 1m$. Take a horizontal strip of width $ox$ metre in this side, situated at a depth of $x$ metre from the surface of water. Find the force by the water on this strip.
  3. Find the torque of the force calculated in part.$(b)$ about the bottom edge of this side.
  4. Find the total force by the water on this side.
  5. Find the total torque by the water on the side about.
The bottom edge. Neglect the atmospheric pressure and take $g = 10m/s^2$.
→
The planet Mars has two moons, phobos and Deimos.
  1. Phobos has a period $7$ hours, $39$ minutes and an orbital radius of $9.4 \times 10^3km$. Calculate the mass of mars.
  2. Assume that earth and mars move in circular orbits around the sun, with the Martian orbit being $1.52$ times the orbital radius of the earth. What is the length of the Martian year in days?
→
$i.$ Explain clearly with examples the distinction between magnitude of displacement over an interval of time and the total length of the path covered by a particle over the same interval.
$ii.$ A body starting from rest accelerates uniformly along a straight line at the rate of $10\  ms^{-2}$ for $5 s$ . It moves for $2 s$ with uniform velocity of $50\  ms^{-1}$. Then it retards uniformly and comes to rest in $3 s$ . Draw velocity$-$time graph of the body and find the total distance travelled by it.
→