JEE Main 20178 AprilOnline
- Exam
- JEE Main
- Year
- 2017
- Date
- 8 April
- Mode
- Online
- Subject
- Physics
- Chapter
- Units and Dimensions
JEE Main 2017 · 8 April · Online · Physics · Units and Dimensions
Time (T) , velocity (C) and angular momentum (h) are chosen as...
Time , velocity \left(C\right) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be:
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
M ∝ {T}^{x}{C}^{y}{h}^{z}{M}^{1}{L}^{0}{T}^{0} = {\left({T}^{1}\right)}^{x}{\left({L}^{1}{T}^{- 1}\right)}^{y}{\left({M}^{1}{L}^{2}{T}^{- 1}\right)}^{z}[ {M}^{1}{L}^{0}{T}^{0} ] =[ {M}^{z}{L}^{y + 2z}{T}^{x - y - z} ]⟹ z = 1y + 2z = 0, x - y - z = 0solvingy = - 2x = - 1M ⇒ \left[{T}^{- 1}{C}^{- 2}{h}^{1}\right]