Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Introduction to Physics
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Introduction to Physics
Select the correct statement(s) from the following:
Select the correct statement(s) from the following:
Options
- AAn equation that is dimensionally incorrect may be incorrect.
- BAn equation that is dimensionally correct may be correct.
- CAn equation that is dimensionally correct may be incorrect.
- DAn equation that is dimensionally incorrect may be correct.
Correct answer
C. An equation that is dimensionally correct may be incorrect.
Step-by-step solution
According to the principle of homogeneity of dimensions, a valid physical equation must be dimensionally correct.
If an equation is dimensionally incorrect, it is always physically incorrect. Since it is definitely incorrect, the statement that it may be incorrect is logically true.
If an equation is dimensionally correct, it is not guaranteed to be physically correct because dimensional analysis provides no information about dimensionless constants or dimensionless variables. Thus, a dimensionally correct equation may be correct, or it may be incorrect.
A dimensionally incorrect equation can never be correct.
If an equation is dimensionally incorrect, it is always physically incorrect. Since it is definitely incorrect, the statement that it may be incorrect is logically true.
If an equation is dimensionally correct, it is not guaranteed to be physically correct because dimensional analysis provides no information about dimensionless constants or dimensionless variables. Thus, a dimensionally correct equation may be correct, or it may be incorrect.
A dimensionally incorrect equation can never be correct.