In a new system the unit of mass is a kg.unit of length
is B m and unit of time is y s.The value of 1 J in this new system is
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Answer:
Joule is a unit of energy.
SI New system
n
1
=5 n
2
=?
M
1
=1kg M
2
=αkg
L
1
=1m L
2
=βm
T
1
=1s T
2
=γs
Dimensional formula of energy is [ML
2
T
−2
]. Comparing with [M
a
L
b
T
c
], we get
a = 1, b = 2,c = -2
As n
2
=n
1
(
M
2
M
1
)
a
(
L
2
L
1
)
b
(
T
2
T
1
)
c
=5(
αkg
1kg
)
1
(
βm
1m
)
2
(
γs
1s
)
−2
=
αβ
2
5γ
2
=5α
−1
β
−2
γ
2
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