Question

Multiple Correct Answers Type
Which of the following pairs has the same dimensions?

• A. Torque and work
• B. Angular momentum and Planck's constant
• C. Energy and Young's modulus
• D. Light year and wave length

Answer 1

Answer: (A), (B), (D)

Torque and work
Angular momentum and Planck's constant
Light year and wave length

$\ast$ Torgue $=\overrightarrow{r}\times \overrightarrow{F}$

$\left[i\right]=\left[{ML}^2{T}^{-2}\right]$

Work $=$ Force $\times$ displacement

$\left[W\right]=\left[{ML}^2{T}^{-2}\right]$

$\ast$ Planks constent $-$ Joule second

$\left[h\right]=\left[{ML}^2{T}^{-1}\right]$

$\left[L\right]=\left[{ML}^2{T}^{-1}\right]$

$\ast$ Light year is a distance

$\ast$ $Y=\frac{Fl}{\Delta DI}$ While Energy $=$ $F$ $\times$ displacement.