Physics And Measurement Question 137
Question: If $ L,C $ and $ R $ denote the inductance, capacitance and resistance respectively, the dimensional formula for $ C^{2}LR $ is
[UPSEAT 2002]
Options:
A) $ [M{{L}^{-2}}{{T}^{-1}}I^{0}] $
B) $ [M^{0}L^{0}T^{3}I^{0}] $
C) $ [{{M}^{-1}}{{L}^{-2}}T^{6}I^{2}] $
D) $ [M^{0}L^{0}T^{2}I^{0}] $
Show Answer
Answer:
Correct Answer: B
Solution:
$ C^{2}LR=[C^{2}L^{2}]\times [ \frac{R}{L} ]=[T^{4}]\times [ \frac{1}{T} ]=[T^{3}] $ As $ [ \frac{L}{R} ]=T $ and $ \sqrt{LC}=T $
