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8.Mechanical Properties of Solids
medium
$1\,c{m^2}$ આડછેદ અને $0.2\, m$ લંબાઇ ધરાવતા તાર પર $5kg$ દળ લગાવતા તેમાં સંગ્રહીત ઊર્જા કેટલી થાય ? ($Y= 1 \times {10^{11}}\,N/{m^2}$)
A
${10^{ - 5}}J$
B
$2.5 \times {10^{ - 5}}J$
C
$5 \times {10^{ - 5}}J$
D
$2.5 \times {10^{ - 4}}J$
Solution
(b) $U = \frac{1}{2} \times \frac{{{{{\rm{(stress)}}}^{\rm{2}}}}}{Y} \times {\rm{volume}}$$=$ $\frac{1}{2} \times \frac{{{F^2} \times A \times L}}{{{A^2} \times Y}}$
$=$$\frac{1}{2} \times \frac{{{F^2}L}}{{AY}} = \frac{1}{2} \times \frac{{{{(50)}^2} \times 0.2}}{{1 \times {{10}^{ – 4}} \times 1 \times {{10}^{11}}}}$$=$ $2.5 \times {10^{ – 5}}J$
Standard 11
Physics
