Physics And Measurement Question 17
Question: Assertion: When we change the unit of measurement of a quantity, its numerical value changes. Reason: Smaller the unit of measurement smaller is its numerical value.
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: C
Solution:
We know that $ Q=n _{1}u _{1}=n _{2}u _{2} $ are the two units of measurement of the quantity Q and n1, n2 are their respective numerical values.
From relation $ Q _{1}=n _{1}u _{1}=n _{2}u _{2}, $ nu = constant
$ \Rightarrow n\propto 1/u $ i.e., smaller the unit of measurement, greater is its numerical value.
