A) \[[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\]
B) \[[M{{L}^{4}}{{T}^{-3}}]\]
C) \[[M{{L}^{-2}}T]\]
D) \[[M{{L}^{6}}{{T}^{-3}}]\]
Correct Answer: B
Solution :
[b] \[{{\lambda }_{m}}T=b\] or \[{{b}^{4}}=\lambda _{m}^{4}{{T}^{4}}\] and \[\frac{energy}{area-time}=\sigma {{T}^{4}}\] or \[\sigma =\frac{energy}{(area-time){{T}^{4}}}\] \[\therefore \,\,\,\sigma {{b}^{4}}=\left( \frac{energy}{area-time} \right)\lambda _{m}^{4}\] or \[[\sigma {{b}^{4}}]=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{L}^{2}}][T]}[{{L}^{4}}]\] \[=[M{{L}^{4}}{{T}^{-3}}]\]
You need to login to perform this action.
You will be redirected in
3 sec
