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10-1.Thermometry, Thermal Expansion and Calorimetry
easy

એક નળાકારને ગરમ કરતાં તેની લંબાઈમાં $2\%$ નો વધારો થાય, તો તેની સપાટીના ક્ષેત્રફળમાં થતો વધારો ...... $\%$

A

$0.05$

B

$2$

C

$1$

D

$4$

Solution

$A\, \propto \,{L^2}\,\,\,\therefore \,\Delta A\, = \,2L\Delta L$

$\,\,\therefore \,\frac{{\Delta A}}{A}\,\, = \,\,\frac{{2L\Delta L}}{{{L^2}}}\,\, = \,\,\frac{{2\Delta L}}{L}\,\,\,\,\,\therefore \,\frac{{\Delta A}}{A}\,\% \,\, = \,\,2\,\, \times \,\,2\,\% \,\, = \,\,4\% $

Standard 11
Physics

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