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Deduce the dimensional formulae for the following physical quantities: a. Gravitational constant b. Power c. Stress d. Surface tension |
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Answer» tion:Universal constant of gravitation G Gravitational Force =G R 2 m 1 m 2 ⇒G= m 1 m 2 F.r 2 [G]= [M][M][MLT −2 ][L 2 ] [G]=M −1 L 3 T −2 2) SURFACE tension S S= lengthForce ⇒ [L][MLT −2 ] [S]=[ML 0 T −2 ]3) Thermal CONDUCTIVITY KΔtΔQ =KA ΔxΔT ⇒K=− ΔtΔQ × ΔTΔx × A1 K= timeenergy × temperaturelength × Area1 = TML 2 T −2 × KL × L 2 1 [K]=[MLT −3 K −1 ]4) coefficient of viscosity nn= A(dv/dx)F ⇒ [L 2 ][LT −1 ]/[L][MLT −2 ] [n]=ML −1 T −1 |
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