If R ,   X L   and   X C represent resistance, inductive reactance and capacitive reactance.…

If R, XL and XC represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:
  1. R XL XC  
  2. RXLXc
  3. RXLXc
  4. RXLXc

Solution

As resistance, inductive reactance and capacitive reactance have same unit ohm. So, all three have same dimension.

Thus, RXLXC is dimensionless.

Asked in: JEE Main 2023 (31 Jan Shift 1)

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