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13. oscillations — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
Identify the correct statement 
  • A
    The greater the mass of a simple pendulum bob, the shorter is its frequency of oscillation
  • B
    A simple pendulum with a bob mass $M$ swings with an angular amplitude of $40^o$. When its angular amplitude is $20^o$, the tension in the string is less than $Mg$ $\cos 20^o$
  • C
    As the length of a simple pendulum is increases, the maximum velocity of the bob for the  same amplitude, during its oscillation also increases
  • ✓
    The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum  
✓

Answer

Correct option: D.
The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum  
d
$\mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}}}$

$\mathrm{T}=2 \pi \sqrt{\frac{\ell_{0}(1+\alpha)}{\mathrm{g}}}$

Increase in temperature

$\frac{\Delta \mathrm{T}}{\mathrm{T}}=\frac{1^{1}}{2} \frac{\Delta \theta}{\theta}$ this has no term of lengths

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