Physics And Measurement Question 246

Question: Let Q denote the charge on the plate of a capacitor of capacitance C. The dimensional formula for $ \frac{Q^{2}}{C} $ is

Options:

A) $ [L^{2}M^{2}T] $

B) $ [LMT^{2}] $

C) $ [L^{2}M{{T}^{-2}}] $

D) $ [L^{2}M^{2}T^{2}] $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] We know that $ \frac{Q^{2}}{2C} $ is energy of capacitor, so it represent the dimension of energy $ =[ML^{2}{{T}^{-2}}] $



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