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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