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Question
কোনো বস্তুর ভর 100 kg
±
2% এবং আয়তন
10
m
3
±
3
%
হলে ঐ বস্তুর ঘনত্বের শতকরা ত্রুটি কত হবে ?
0.1%
0.5%
5%
32%
ANSWER : 4
Descrption
<p> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>=</mo><mfrac><mrow><mi>Δ</mi><mi>m</mi></mrow><mi>m</mi></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mspace linebreak="newline"> </mspace><mo>=</mo><mfrac><mn>2</mn><mn>100</mn></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mspace linebreak="newline"> </mspace><mo>=</mo><mn>2</mn><mo>%</mo></math></p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi>o</mi><mi>l</mi><mo>=</mo><mfrac><mrow><mi>Δ</mi><mi>v</mi></mrow><mi>v</mi></mfrac><msub><mrow><mo>×</mo><mn>100</mn><mo>%</mo></mrow><mrow> </mrow></msub><mspace linebreak="newline"> </mspace><mo>=</mo><mfrac><mn>3</mn><mn>10</mn></mfrac><mo>×</mo><mn>100</mn><mo>%</mo><mspace linebreak="newline"> </mspace><mo>=</mo><mn>30</mn><mo>%</mo></math></p><p>ঘনত্বের শতকরা ত্রুটি= (2% + 30%) = 32% </p>
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