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8. mechanical properties of solids — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics8. mechanical properties of solids1 Mark
MCQ
One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by a applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is :
  • A
    $0.25$
  • B
    $0.50$
  • ✓
    $2.00$
  • D
    $4.00$
✓

Answer

Correct option: C.
$2.00$
c
$Y=\frac{\left(\frac{F}{A}\right)}{\frac{\Delta \ell_1}{L}} $    ...............$(i)$

$Y=\frac{\left(\frac{F}{4 A }\right)}{\frac{\Delta \ell_2}{2 L}} $    .................$(ii)$

$\frac{\Delta \ell_1}{\Delta \ell_2}=2$

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