Question 9
 

There space are space three space scales space with space scale space factors space straight k subscript 1 space comma space straight k subscript 2 space comma space straight k subscript 3 space respectively.
straight A space length space straight L space was space measured space in space these space three space different space scales space and space space got space the space scaled
lengths space as space straight L over 4 space comma space straight L over 8 space comma space straight L over 16 space respectively. space When space the space length space straight L space will space be space measured space
in space straight a space scale space with space scale space factor space space straight k subscript 1 plus straight k subscript 2 plus straight k subscript 3 space comma space the space scaled space length space will space be

--------please help me solve this

Asked by Latha | 6th Oct, 2017, 06:40: PM

Expert Answer:

begin mathsize 12px style S c a l e d space l e n g t h equals k cross times A c t u a l space l e n g t h
space space space space space space space space space space space space space space space space space therefore L over 4 equals k subscript 1 cross times L
space space space space space space space space space space space space space space space space space rightwards double arrow k subscript 1 equals 1 fourth
S i m i l a r l y comma
space space space space space space space space space space space space space space space space space space space space space k subscript 2 equals 1 over 8
space space space space space space space space space space space space space space space space space space space space space k subscript 3 equals 1 over 16

k subscript 1 plus k subscript 2 plus k subscript 3 equals 1 fourth plus 1 over 8 plus 1 over 16
space space space space space space space space space space space space space space space space space space space space equals 7 over 16
therefore T h e space l e n g t h space w h e n space t h e space s c a l e space f a c t o r space i s space k subscript 1 plus k subscript 2 plus k subscript 3 space i s space fraction numerator 7 L over denominator 16 end fraction.


end style

Answered by Rashmi Khot | 4th Dec, 2017, 03:26: PM

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