Physics And Measurement Question 17
When we change the unit of measurement of a quantity, its numerical value changes. Reason: Smaller the unit of measurement, the larger 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 are both 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 equivalent expressions for the quantity Q, where n1 and n2 are the numerical values corresponding to the units u1 and u2.
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.