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CBSE Gujarat Board Haryana Board

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Class 10 Class 12

માપન અને એકમપદ્ધતિ

જો $straight x equals ab to the power of negative 1 end exponent$ હોય અને $increment straight a space અન ે space increment straight b$ અનુક્રમે a ને bના માપનમાં રહેલ ત્રુટિ દર્શાવતા હોય, તો xના માપનમાં મહત્તમ પ્રતિશત ત્રુટિ..........

$open parentheses fraction numerator increment straight a over denominator straight a end fraction plus fraction numerator increment straight b over denominator straight b end fraction close parentheses cross times 100$
$open parentheses fraction numerator increment straight a over denominator straight a end fraction minus fraction numerator increment straight b over denominator straight b end fraction close parentheses cross times 100$
$open parentheses fraction numerator increment straight a over denominator straight a minus straight b end fraction plus fraction numerator increment straight b over denominator straight a minus straight b end fraction close parentheses cross times 100$
$open parentheses fraction numerator increment straight a over denominator straight a minus straight b end fraction minus fraction numerator increment straight b over denominator straight a minus straight b end fraction close parentheses cross times 100$

નીચેનામાંથી કઈ ભૌતિક રાશિ સાધિત છે ?

દળ
બળ
સમતલ કોણ
સમય

ભૌતિક રાશિ Zનું પારિમાણિક સૂત્ર $straight M to the power of straight a straight L to the power of straight b straight T to the power of negative straight c end exponent$ છે. તેના દળ, લંબાઈ અને સમયના માપનમાં પ્રતિશત ત્રુટિ અનુક્રમે $straight alpha space percent sign comma space straight beta space percent sign space અન ે space gamma space percent sign$ હોય, તો ભૌતિક રાશિ Z ના માપનમાં પ્રતિશત ત્રુટિ…….. હશે.

$open parentheses straight alpha plus straight beta plus gamma close parentheses space percent sign$
$open parentheses straight alpha plus straight beta minus gamma close parentheses space percent sign$
$open parentheses aα plus bβ plus c gamma close parentheses space percent sign$
$open parentheses aα plus bβ minus c gamma close parentheses space percent sign$

open parentheses aα plus bβ plus c gamma close parentheses space percent sign

Tips: -

$Z equals M to the power of a L to the power of b T to the power of negative c end exponent equals fraction numerator m to the power of a l to the power of b over denominator t to the power of c end fraction$

Zમાં મહત્તમ પ્રતિશત ત્રુટિ

$equals space open parentheses a fraction numerator increment m over denominator m end fraction plus b fraction numerator increment l over denominator l end fraction plus c fraction numerator increment t over denominator t end fraction close parentheses space percent sign$

પરંતુ, $fraction numerator increment straight m over denominator straight m end fraction equals alpha comma space fraction numerator increment l over denominator l end fraction equals space beta comma space fraction numerator increment t over denominator t end fraction equals gamma$