L, C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula ML^2 T^-4 A^-2 corresponds to .
JEE Main 2026 — Physics Mechanics
2026mcqmedium
L, C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula ML2T−4A−2 corresponds to __________.
Official previous-year question
Held on 5 Apr 2026 · Verified 6 Jul 2026.
Options
A
LCR
B
LCR
C
LRC
D
R1CL
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Solution
Dimensional formula of inductance L is obtained from E=21LI2:
[L]=[I]2[E]=A2ML2T−2=ML2T−2A−2
Dimensional formula of capacitance C is obtained from E=21CQ2:
[C]=[E][Q]2=ML2T−2A2T2=M−1L−2T4A2
Dimensional formula of resistance R is obtained from P=I2R:
[R]=[I]2[P]=A2ML2T−3=ML2T−3A−2
The dimensional formula of LC is:
[LC]=(ML2T−2A−2)(M−1L−2T4A2)=T2=T
Evaluating the dimensional formula of LCR:
[LCR]=TML2T−3A−2=ML2T−4A−2
This matches the given dimensional formula.
Answer: LCR
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