13.Oscillations
easy

सरल लोलक की लम्बाई में $2\% $ की वृद्धि कर देने पर उसके आवर्तकाल में

A

$2$

B

$1$

C

$4$

D

$8$

(AIPMT-1997)

Solution

$l_{2}=1.02 l_{1} .$ 

Time period $(T)=2 \pi \times \sqrt{\frac{l}{g}} \propto \sqrt{l}$

Therefore $\frac{T_{2}}{T_{1}}=\sqrt{\frac{l_{2}}{l_{1}}}=\sqrt{\frac{1.02 l_{1}}{l_{1}}}=1.01$

Thus time period increased by $1 \%$.

Standard 11
Physics

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