BITSAT2011PhysicsUnits and DimensionsActual
If T =2 ML ³ 3 Yq then find the dimensions of q. Where T is the time period of bar of mass M length L and Young modulus Y .
Options
- A[ L ]
- B[ L ² ]
- C[ L ⁴ ]
- D[ L ³ ]
Correct answer
C. [ L ⁴ ]
Step-by-step solution
T =2 ML ³ 3 Yq , writing dimensions of both the sides, we get [ T ]= [ ML ³ ML ⁻¹ ~T ⁻² q ]^ 1 / 2 or q= [L⁴ ]