Mixed ConceptsHardQuestion 5053
Question
In the formula X = 3YZ², Y and Z have dimensions [ML⁻¹T⁻²] and [LT⁻¹] respectively. The dimensional formula for X is:
- A[ML²T⁻⁴]
- B[M²L²T⁻⁴]
- C[MLT⁻⁴]Correct
- D[ML⁻¹T⁻⁴]
Correct answer
[MLT⁻⁴]
Explanation
X = 3YZ². [Y] = [ML⁻¹T⁻²], [Z²] = [L²T⁻²]. X = [ML⁻¹T⁻²][L²T⁻²] = [MLT⁻⁴].