JEE Main 2026 — Units and Dimensions Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
A ball of radius and density dropped through a viscous liquid of density and viscosity attains its terminal velocity at time , given by , where is a constant and and are integers. The value of is .
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Correct answer
1
Step-by-step explanation
Using dimensional analysis on :
the dimensions are [T] = .
Expanding: [T] = .
Comparing powers: For T: , giving .
For M: , so .
For L: , giving .
Therefore .
the dimensions are [T] = .
Expanding: [T] = .
Comparing powers: For T: , giving .
For M: , so .
For L: , giving .
Therefore .
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This is a previous-year question from JEE Main 2026, covering the Units and Dimensions chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.