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If pv² = k and the relative error in p and are respactivly .05 and .025 , shaw that the error in k is 10%

If pv² = k and the relative error in p and are respactivly .05 and .025 , shaw that the error in k is 10%

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Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear Harshit
 
Taking ln
ln p + 2 ln v = ln k
Now differentiate w.r.t. to self
 
dp/p + 2 dv/v = dk/k
For percentage-
dp/p *100 + 2 dv/v * 100 = dk/k * 100
5 + 2 *2.5 = dk/k* 100
dk/k *100 = 10
 
Hence error in k = 10%
 
Regards
Arun (askIITians forum expert)

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