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suppose the speed of light (c) force=f and kinetic energy=k are the fundamental what dimension formula of mass will be?? |
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Answer» C=[LT −1 ] F=[M 1 L 1 T −2 ] K=[M 1 L 2 T −2 ] M=Constant×C α F β K γ ⇒ [M 1 L 0 T 0 ]=[LT −1 ] α [M 1 L 1 T −2 ] β [M 1 L 2 T −2 ] γ or, [M 1 L 0 T 0 ]=[M β+γ L α+β+2γ T −α−2β−2γ ] ⇒ β+γ=1,α+β+2γ=0,α+2β+2γ=0 ⇒β=0,γ=1,α=−2 ⇒[M]=[C −2 K 1 ]Explanation: |
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