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Consider a new system of units in which the unit of mass is α kg, unit of length is β m and that of time is γ s. The value of calorie in the new system is calculated to be 4.18 α-xβ-yγz. Find the values of z.

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Detailed Solution

n2=n1M1M21L1L22T1T2−2⇒n2=4.181kgαkg1mβm21sγs−2⇒n2=4.18α−1β−2γ2 So, 4.18J=4.18α−1β−2γ2 new units

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Consider a new system of units in which the unit of mass is α kg, unit of length is β m and that of time is γ s. The value of calorie in the new system is calculated to be 4.18 α-xβ-yγz. Find the values of z.