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Oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsOscillations5 Marks
Question
A spring compressed by 0.1m develops a restoring force 10N. A body of mass 4kg placed on it. Deduce
  1. The force constant of the spring.
  2. The depression of the spring under the weight of the body(take g = 10 N/ kg).
  3. The period of oscillation, the body is distributed and.
  4. Frequency of oscillation.
✓

Answer

Here,$\text{F}=10\text{N}$$\Delta\text{l}=0.1\text{m}$
$\text{m}=4\text{kg}$
  1. $\text{k}=\frac{\text{F}}{\Delta\text{l}}$
$=\frac{10}{0.1}=100\text{Nm}^{-1}$
  1. $\text{y}=\frac{\text{mg}}{\text{k}}$
$=\frac{4\times10}{100}=0.4\text{m}$
  1. $\text{T}=2\pi\sqrt{\frac{\text{m}}{\text{k}}}$
$=2\times\frac{22}{7}\sqrt{\frac{4}{100}}$
$=1.26\text{s}$
  1. Frequency. $\text{v}=\frac{1}{\text{T}}$
$=\frac{1}{1.26}=0.8\text{Hz}$

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