JIPMER 2013
- Exam
- JIPMER
- Year
- 2013
- Subject
- Physics
- Chapter
- Units and Dimensions
JIPMER 2013 · Physics · Units and Dimensions
A force F is given F=a t+b t^2 , where, t is time. What are the...
A force is given , where, is time. What are the dimensions of and ?
Options
- A and
- B and
- C and
- D and
Correct answer
D. and
Step-by-step solution
Force
From principle of homogeneity,
Dimension of at
Similarly, dimensions of
$b=\frac{[F]}{\left[t^2\right]}=\frac{\left[\mathrm{MLT}^{-2}\right]}{\left[\mathrm{T}^2\right]}\left[\mathrm{MLT}^{-4}\right]