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8.Mechanical Properties of Solids
medium
નીચેના તારમાંથી કોની ઊર્જા મહત્તમ હોય
A
$F = 10 N, A = 1 cm^2, s = 10^{-3}$
B
$F = 15 N, A = 2 cm^2, s = 10^{-3}$
C
$F = 10 N, A = \frac{1}{2}cm^2, s = 10^{-4}$
D
$F = 5 N, A = 3 cm^2, s = 10^{-3}$
Solution
ઊર્જા $ = \frac{1}{2} \times $ પ્રતિબળ $\times$ વિકૃતિ $\times$ $volume$ $ = \frac{1}{2} \times \frac{F}{A}$ $\times$ $strain $$\times$$ AL$ $ = \frac{1}{2} \times F \times strain \times L$
$(A)$ $U = \frac{1}{2} \times 10 \times {10^{ – 3}} \times L = 5 \times {10^{ – 3}}L$;
$(B)$ $U = \frac{1}{2} \times 15 \times {10^{ – 3}} \times L = 7.5 \times {10^{ – 3}}L$
$(C)$ $U = \frac{1}{2} \times 10 \times {10^{ – 4}} \times L = 0.5 \times {10^{ – 3}}L$;
$(D)$ $U = \frac{1}{2} \times 5 \times {10^{ – 3}} = 2.5 \times {10^{ – 3}}L$
Standard 11
Physics
