begin mathsize 12px style The space length space of space straight a space square space measured space on space straight a space scale space of space scale space factor space straight k subscript 1 space comes space out space to space be space
straight L space cm. space When space straight a space different space scale space is space used space its space length space comes space out space to space be space 4 straight L space cm.
Find space the space scale space factor space of space second space scale ?

end style

Please provide solution to this question

Asked by Topperlearning User | 3rd Oct, 2017, 09:31: AM

Expert Answer:

begin mathsize 12px style Length space on space scale equals scale space factor cross times actual space length
Let space the space actual space length space of space the space square space be space straight H
straight L equals straight k subscript 1 cross times straight H
rightwards double arrow straight H equals straight L over straight k subscript 1 rightwards arrow circle enclose 1
4 straight L equals straight k subscript 2 cross times straight H
rightwards double arrow straight H equals fraction numerator 4 straight L over denominator straight k subscript 2 end fraction rightwards arrow circle enclose 2
from space circle enclose 1 space and space circle enclose 2 space we space have
straight L over straight k subscript 1 equals fraction numerator 4 straight L over denominator straight k subscript 2 end fraction
rightwards double arrow straight k subscript 2 equals 4 straight k subscript 1
The space scale space factor space of space the space second space scale space is space 4 space times space the space first space one. end style

Answered by  | 3rd Oct, 2017, 11:31: AM

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