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ICSE Class 9 Answered

The time periods of two pendulums are 1.44s and 0.36s.Calculate the ratio of their lengths ?
Asked by nishola82 | 28 May, 2018, 02:36: PM
answered-by-expert Expert Answer
T equals 2 pi square root of l over g end root
T space alpha square root of l space space... left parenthesis space sin c e space r e s t space o f space t h e space t e r m s space i n space t h e space e q u a t i o n space a r e space c o n s tan t right parenthesis
T h u s comma
T subscript 1 over T subscript 2 equals square root of l subscript 1 over l subscript 2 end root
rightwards double arrow T subscript 1 squared over T subscript 2 squared equals space l subscript 1 over l subscript 2
rightwards double arrow l subscript 1 over l subscript 2 equals fraction numerator left parenthesis 1.44 right parenthesis squared over denominator left parenthesis 0.36 right parenthesis squared end fraction equals space fraction numerator 2.073 over denominator 0.129 end fraction equals space 16 over 1
T h u s comma space r a t i o space o f space l e n g t h s space o f space p e n d u l u m space equals space 16 colon 1
Answered by Shiwani Sawant | 28 May, 2018, 03:23: PM
ICSE 9 - Physics
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ICSE 9 - Physics
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