Write the formula,dimensional formula,and $SI$ unit for the Shear Modulus and the Bulk Modulus.

  • A
    Shear Modulus: $\eta = \frac{F/A}{\Delta x/L}$,$[M^1 L^{-1} T^{-2}]$,$N/m^2$; Bulk Modulus: $B = -\frac{\Delta P}{\Delta V/V}$,$[M^1 L^{-1} T^{-2}]$,$N/m^2$
  • B
    Shear Modulus: $\eta = \frac{F}{A}$,$[M^1 L^1 T^{-2}]$,$N/m$; Bulk Modulus: $B = -\Delta P \Delta V$,$[M^1 L^2 T^{-2}]$,$N/m^2$
  • C
    Shear Modulus: $\eta = \frac{F \cdot A}{\Delta x}$,$[M^1 L^0 T^{-2}]$,$N/m^2$; Bulk Modulus: $B = -\frac{\Delta P}{V}$,$[M^1 L^{-1} T^{-1}]$,$N/m^2$
  • D
    Shear Modulus: $\eta = \frac{A}{F}$,$[M^{-1} L^1 T^2]$,$N/m^2$; Bulk Modulus: $B = -\frac{\Delta V}{\Delta P}$,$[M^{-1} L^1 T^2]$,$N/m^2$

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