Physics And Measurement Question 23
Question: Assertion: L/R and CR both have same dimensions. Reason: L/R and CR both have dimension of time.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason both are false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: A
Solution:
Unit of quantity (L/R) is Henry/ohm.
As Henry = ohm ´ sec, hence unit of L/R is sec i.e. [L/R] = [T].
Similarly, unit of product CR is farad ´ ohm or, $ \frac{Coulomb}{Volt}\times \frac{Volt}{Amp} $ or, $ \frac{Sec\times Amp}{Amp} $
or, sec i.e. [CR] = [T]
therefore [L/R] and [CR] both have the same dimension.
