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A calorie is a unit of …

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A calorie is a unit of heat or energy and it equals about 4.2j where 1j=1kgm^2s^2. Suppose we emply a system of units in which the unit of mass equals akg, the unit of length equals b m, the unit of time is ys. Show that a calorie has a magnitude 4.2 a^-1 b^-2y^2 in terms of the new units.

Posted by Tanisha Kumari 1 year, 6 months ago

CBSE > Class 11 > Physics

1 answers

Tanishq Maheshwari 1 year, 6 months ago

We know that : n1u1=n2u2 n2=n1u1u2=n1[Ma1Lb1Tc1][Ma2Lb2Tc2] =n1[M1M2]a[L1L2]b[T1T2]c SI System New system n1=4.2 n2=? M1=1 kg M2=α kg L1=1 m L2=β m T1=1 s T2=γ s 1 cal=4.2 J=4.2 kg m2s−2 ∴a=1,b=2,c=−2 ∴n2=4.2[1 kgα kg]1[1 mβ m]2[1 sγ s]−2 ∴n2=4.2α−1β−2γ2 ∴1 cal=4.2α−1β−2γ2 in new system

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