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Question

Question: The dimension of heat convection coefficient is-...

The dimension of heat convection coefficient is-

A

[ML²T-¹0-¹]

B

[ML°T-30-¹]

C

[ML°T-20-¹]

D

[ML4T-20-¹]

Answer

[ML°T-30-¹]

Explanation

Solution

The rate of heat convection is given by Q=hAΔTQ = h A \Delta T, where QQ is the heat transfer rate, hh is the heat convection coefficient, AA is the surface area, and ΔT\Delta T is the temperature difference. The dimensions of QQ are [ML2T3][ML^2T^{-3}], AA are [L2][L^2], and ΔT\Delta T are [θ][\theta]. Therefore, the dimensions of hh are [ML2T3][L2][θ]=[MT3θ1]\frac{[ML^2T^{-3}]}{[L^2][\theta]} = [MT^{-3}\theta^{-1}].