Question

Consider the following pairs of quantities:
1. Young's modulus; pressure
2. Torque; energy
3. Linear momentum; work
4. Solar day; light year
In which cases are the dimensions, within a pair, same?

• A. 1 and 3
• B. 1 and 4
• C. 1 and 2
• D. 2 and 4

Answer 1

The correct option is C 1 and 2

Young's Modulus $=$ Pressure $=\left[M^1{L}^{-1}{T}^{-2}\right]$

[Torque] $=$ [Energy] $=\left[M^1{L}^2{T}^{-2}\right]$
Linear momentum $=\left[M^1{L}^1{T}^{-1}\right]$, work $=\left[M^1{L}^2{T}^{-2}\right]$

Solar day $=\left[T\right]$ and Light year$=\left[L\right]$