Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minQB

PhysicsEasyinteger

Power transmitted by wave in a string is given by $P = kv μ^{a} ω^{b} A^{c}$ where k is dimensionless constant

Answer:

Solution:

Dimensions: $[M L^{2} T^{- 3}] = [L T^{- 1}] [M L^{- 1}]^{a} [T^{- 1}]^{b} [L]^{c}$ .

Matching powers gives $a = 1, b = 2, c = 2$ .

So $ab + c^{2} = 2 + 4 = 6$ .

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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