NEET Physics MCQ Practice
Test your knowledge with these dimensional analysis questions
Question 1
Consider the equation: \(\frac{1}{2} m v^2 = m g h\) where \(m\) is mass, \(v\) is velocity, \(g\) is acceleration due to gravity, and \(h\) is height. Is this equation dimensionally correct?
Hint: Remember that dimensional analysis only concerns itself with the dimensions of physical quantities, not numerical coefficients or specific values.
Explanation:
Correct Answer: A) Yes, because both sides have the same dimensions
The equation is dimensionally correct because:
- Left side: [M][LT⁻¹]² = [M L² T⁻²]
- Right side: [M][LT⁻²][L] = [M L² T⁻²]
Both sides have identical dimensions of [M L² T⁻²], which means the equation is dimensionally consistent.
Why other options are wrong:
- B) Numerical factors like 1/2 are ignored in dimensional analysis
- C) Mass appears on both sides and doesn't need to cancel for dimensional correctness
- D) Dimensional correctness doesn't depend on specific values of constants
