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ICSE Class 10 Answered

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 | 06 Oct, 2017, 06:40: PM
answered-by-expert 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 | 04 Dec, 2017, 03:26: PM

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