Using dimensional analysis- show that 1N-m2-10 dyne-cm2

1 N m^2 =[ M ] [ L ] #160; T ^ 2 #160; L ^ 2 = 1000g× 100 #13213; s ^ 2 #160; 100 #13213;100 #13213; =10 gm s ^ 2 #160; ...

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Standard XII

Physics

Dimensional Analysis

Using dimensi...

Question

Using dimensional analysis, show that $1 \frac{N}{m^{2}} = 10 \frac{d y n e}{c m^{2}}$

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Solution

$1 \frac{N}{m^{2}} = \frac{\frac{[M] [L]}{T^{2}}}{L^{2}} = \frac{\frac{1000 g \times 100 ㎝}{s^{2}}}{100 ㎝ 100 ㎝} = 10 \frac{\frac{g m}{s^{2}}}{c m^{2}} = 10 \frac{d y n e}{c m^{2}}$

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Using dimensional analysis, show that 1Nm2=10dynecm2

1Nm2=[M][L]T2L2=1000g×100㎝s2100㎝100㎝=10gms2cm2=10dynecm2

Using dimensional analysis, show that $1 \frac{N}{m^{2}} = 10 \frac{d y n e}{c m^{2}}$

$1 \frac{N}{m^{2}} = \frac{\frac{[M] [L]}{T^{2}}}{L^{2}} = \frac{\frac{1000 g \times 100 ㎝}{s^{2}}}{100 ㎝ 100 ㎝} = 10 \frac{\frac{g m}{s^{2}}}{c m^{2}} = 10 \frac{d y n e}{c m^{2}}$