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1.Units, Dimensions and Measurement
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પ્રવાહીની ઘનતા $0.625 \,g/c{m^3} \, CGS$ માં હોય,તો $SI$ માં કેટલી હોય?
A$0.625$
B$0.0625$
C$0.00625$
D$625$
Solution
(d) $CGS$ $SI $
${N_1}{U_1} = {N_2}{U_2}$
${N_1}\left[ {{M_1}L_1^{ – 3}} \right] = {N_2}\left[ {{M_2}L_2^{ – 3}} \right]$
$\therefore {N_2} = {N_1}\left[ {\frac{{{M_1}}}{{{M_2}}}} \right] \times {\left[ {\frac{{{L_1}}}{{{L_2}}}} \right]^{ – 3}}$
$ = 0.625\left[ {\frac{{1g}}{{1kg}}} \right] \times {\left[ {\frac{{1cm}}{{1m}}} \right]^{ – 3}}$
$ = 0.625 \times {10^{ – 3}} \times {10^6} = 625$
${N_1}{U_1} = {N_2}{U_2}$
${N_1}\left[ {{M_1}L_1^{ – 3}} \right] = {N_2}\left[ {{M_2}L_2^{ – 3}} \right]$
$\therefore {N_2} = {N_1}\left[ {\frac{{{M_1}}}{{{M_2}}}} \right] \times {\left[ {\frac{{{L_1}}}{{{L_2}}}} \right]^{ – 3}}$
$ = 0.625\left[ {\frac{{1g}}{{1kg}}} \right] \times {\left[ {\frac{{1cm}}{{1m}}} \right]^{ – 3}}$
$ = 0.625 \times {10^{ – 3}} \times {10^6} = 625$
Standard 11
Physics
