NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Physics
- Chapter
- Units and Dimensions
NTA Abhyas 2020 · Physics · Units and Dimensions
If the units of mass, length and time are doubled then unit of...
If the units of mass, length and time are doubled then unit of angular momentum will be
Options
- ADoubled
- BTripled
- CQuadrupled
- DEight times the original value
Correct answer
C. Quadrupled
Step-by-step solution
The dimensions of angular momentum are
When units of mass, length and time are doubled, than
J^{′} = \left[2M{ \left(2L\right)}^{2}{\left(2T\right)}^{- 1}\right]
⇒ J^{′} = 4\left[{ML}^{2}T^{- 1}\right] = 4J
Unit of angular momentum is quadrupled.
When units of mass, length and time are doubled, than
J^{′} = \left[2M{ \left(2L\right)}^{2}{\left(2T\right)}^{- 1}\right]
⇒ J^{′} = 4\left[{ML}^{2}T^{- 1}\right] = 4J
Unit of angular momentum is quadrupled.