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CBSE Class 11-science Answered

What is the % of increase in the length of a wire of diametre 25mm stretched by a force of 100 Kg weight , The young's modulus of elasticity being 12.5 X 10^11 dyne/cm2 ??
Asked by gargpurvi85 | 21 Jan, 2015, 08:42: PM
answered-by-expert Expert Answer
begin mathsize 14px style G i v e n d i a m e t e r comma space d space equals space 25 space m m space equals space 25 space cross times space 10 to the power of minus 3 end exponent space m space rightwards double arrow space r a d i u s comma space r space equals space d over 2 space equals space 25 over 2 space equals space 12.5 space cross times space 10 to the power of minus 3 end exponent space m F space equals space 100 space k g space w t. space equals space 100 space cross times space 9.8 space equals space 980 space N Y space equals space 12.5 space cross times space 10 to the power of 11 space d y n e space divided by c m squared space equals space fraction numerator 12.5 space cross times space 10 to the power of 11 space cross times space 10 to the power of 5 over denominator 10 to the power of minus 4 end exponent end fraction space equals space 12.5 space cross times space 10 to the power of 10 space space N divided by space m squared T h e r e f o r e comma space a r e a space o f space c r o s s space s e c t i o n space o f space w i r e a space equals space pi space cross times space r squared space equals space 3.14 space cross times space left parenthesis space 12.5 space cross times space 10 to the power of minus 3 end exponent right parenthesis a space equals space 4.9 space cross times space 10 to the power of minus 4 end exponent space space m squared Y space equals space fraction numerator F L over denominator a l end fraction space l over L space equals space fraction numerator F over denominator a Y end fraction space equals space fraction numerator 980 over denominator space 4.9 space cross times space 10 to the power of minus 4 end exponent space space cross times space 12.5 space cross times space 10 to the power of 10 end fraction space l over L space equals space 16 space cross times space 10 to the power of minus 6 end exponent space T h e r e f o r e comma space % space i n c r e a s e space i n space l e n g t h space o f space t h e space w i r e comma l over L space cross times space 100 space equals space 1.6 space cross times space 10 to the power of minus 3 end exponent space equals space 0.0016 % end style
Answered by Priyanka Kumbhar | 22 Jan, 2015, 12:26: PM
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