Question 108: Units , Dimensions and Error Analysis

Question

If mass is written as $m=k \mathrm{c}^{\mathrm{P}} G^{-1 / 2} h^{1 / 2}$ then the value of $P$ will be : (Constants have their usual meaning with $k a$ dimensionless constant)

Accepted Answer

$\begin{aligned}
& \mathrm{m}=\mathrm{kc}^{\mathrm{P}} \mathrm{G}^{-1 / 2} \mathrm{~h}^{1 / 2} \
& \mathrm{M}^1 \mathrm{~L}^0 \mathrm{~T}^0=\left[\mathrm{LT}^{-1}ight]^{\mathrm{P}}\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}ight]^{-1 / 2}\left[\mathrm{ML}^2 \mathrm{~T}^{-1}ight]^{1 / 2}
\end{aligned}$
By comparing $\mathrm{P}=1 / 2$

Answer

1/3

Answer

$-$1/3

Answer

1/2

Answer

2

Units , Dimensions and Error Analysis

If mass is written as m=k \mathrm{c}^{\mathrm{P}} G^{-1 / 2} h^{1 / 2} then the value of P will be : (Constants have their usual meaning with k a dimensionless constant)

Choose the correct answer: