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માપન અને એકમપદ્ધતિ

ઓહમના નિયમના પ્રયોગમાં જુદાં જુદાં અવલોકનો દરમિયાન એક અજ્ઞાત અવરોધનું મૂલ્ય 4.12

straight capital omega

, 4.08

straight capital omega

, 4.22

straight capital omega

તથા 4.14

straight capital omega

મળે છે ; તો આ અવલોકનોમાં નિરપેક્ષ ત્રુટિ, સાપેક્ષ ત્રુટિ અને પ્રતિશત ત્રુટિ શોધો.

R subscript 1 equals space 4.12 space capital omega comma space R subscript 2 equals space 4.08 space capital omega comma space R subscript 3 equals space 4.22 space capital omega comma space R subscript 4 equals space 4.14 space capital omega

સરેરાશ અવરોધ

R with bar on top space equals fraction numerator R subscript 1 plus R subscript 2 plus R subscript 3 plus R subscript 4 over denominator 4 end fraction space space space equals space fraction numerator 4.12 plus 4.08 plus 4.22 plus 4.14 over denominator 4 end fraction space space space equals space fraction numerator 16.56 over denominator 4 end fraction space space space equals space 4.14 space capital omega

હવે, દરેક અવલોકનોમાં નિરપેક્ષ ત્રુટિ.

open vertical bar increment straight R subscript 1 close vertical bar equals open vertical bar top enclose R minus R subscript 1 close vertical bar equals open vertical bar 4.14 minus 4.12 close vertical bar equals space 0.02 space capital omega

open vertical bar increment straight R subscript 2 close vertical bar equals open vertical bar top enclose R minus R subscript 2 close vertical bar equals open vertical bar 4.14 minus 4.08 close vertical bar equals 0.06 space capital omega open vertical bar increment R subscript 3 close vertical bar equals open vertical bar top enclose R minus R subscript 3 close vertical bar equals open vertical bar 4.14 minus 4.22 close vertical bar equals 0.08 space capital omega open vertical bar increment R subscript 4 close vertical bar equals open vertical bar top enclose R minus R subscript 4 close vertical bar equals open vertical bar 4.14 minus 4.14 close vertical bar equals 0.00 space capital omega

સરેરાશ નિરપેક્ષ ત્રુટિ,

increment top enclose straight R space equals space 1 over straight n sum from straight i equals 1 to straight n of space open vertical bar increment space straight R subscript straight i close vertical bar space space space space space space space space equals space fraction numerator open vertical bar increment straight R subscript 1 close vertical bar plus open vertical bar increment straight R subscript 2 close vertical bar plus open vertical bar increment straight R subscript 3 close vertical bar plus open vertical bar increment straight R subscript 4 close vertical bar over denominator 4 end fraction space space space space space space space space equals space fraction numerator 0.02 plus 0.06 plus 0.08 plus 0.00 over denominator 4 end fraction increment top enclose straight R space equals space fraction numerator 0.16 over denominator 4 end fraction equals space 0.04 space straight capital omega

સાપેક્ષ ત્રુટિ

straight delta space top enclose straight R equals fraction numerator increment top enclose straight R over denominator top enclose straight R end fraction equals fraction numerator 0.04 over denominator 4.14 end fraction equals 0.0096

પ્રતિશત ત્રુટિ ,

equals space straight delta top enclose straight R cross times 100 space percent sign equals space 0.0096 cross times 100 space percent sign equals 0.96 space percent sign

નીચેનામાંથી કઈ રાશિ SI પદ્ધતિમાં મૂળભૂત ભૌતિક રાશિ નથી ?

જ્યોતિ તીવ્રતા
વિદ્યુતપ્રવાહ
ઘનકોણ
દ્રવ્યનો જથ્થો

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.

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

fraction numerator 1 space μm over denominator 1 space fm end fraction equals...............

10⁹
10^-9
10¹⁵
10⁶

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..........

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

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