1.Units, Dimensions and Measurement
easy

(બળના $SI$ એકમ) $1$ newton ને (બળના $CGS$ એકમ) ડાઈનમાં રૂપાંતરણ કરતા...... મળેે.

A

$10^3$

B

$10^6$

C

$10^2$

D

$10^5$

Solution

બળનું પારિમાણિક સૂત્ર  $ [F] = [M^1L^1T^{-2}]$

તેથી જો  $ n_1, u_1, $  અને $n_2, u_2$    એ અનુક્રમે $SI $ અને $CGS $ એકમ છો. તો,

$\,{{\rm{n}}_{\rm{1}}}\,\,{\left[ {\frac{{{{\rm{M}}_{\rm{1}}}}}{{{{\rm{M}}_{\rm{2}}}}}} \right]^{\rm{1}}}{\rm{ }}\,{\left[ {\frac{{{{\rm{L}}_{\rm{1}}}}}{{{{\rm{L}}_{\rm{2}}}}}} \right]^1}\,\,{\left[ {\frac{{{T_1}}}{{{T_2}}}} \right]^{{\rm{ – 2}}}}$

$ = \,\,{\rm{1}}\,\,\left[ {\frac{{{\rm{kg}}}}{{\rm{g}}}} \right]\,\,\left[ {\frac{{\rm{m}}}{{{\rm{cm}}}}} \right]\,\,{\left[ {\frac{{\rm{s}}}{{\rm{s}}}} \right]^{{\rm{ – 2}}}}$

$ = \,\,{\rm{1}}\,\, \times \,\,{\rm{1000}}\,\, \times \,\,{\rm{100}}\,\, \times \,\,{\rm{1}}{{\rm{0}}^{\rm{5}}}\,$

$1$ ન્યુટન = $1{0^5}$ ડાઈન

Standard 11
Physics

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