Consider the following terms:MV → Material Volume (Control Mass)V → Control VolumeS → Control SurfaceB → Flow propertyb → Intensive value of B in any small element of the fluidρ → Density of the flowt → Instantaneous time\( \vec{v} \) → Velocity of fluid entering or leaving the control volume\( \vec{n} \) → Outward normal vector to control surfaceWhich of these equations is the mathematical representation of Reynolds transport theorem in the above terms?

• A. \((\frac{dB}{dt})_{MV} = \frac{d}{dt}(\int_sb \rho dS) + \int_vb \rho \vec{v}.\vec{n} dV\)
• B. \((\frac{dB}{dt})_{MV} = \frac{d}{dt}(\int_vb \rho dV) + \int_sb \rho \vec{v}.\vec{n} dS\)
• C. \((\frac{dB}{dt})_V = \frac{d}{dt}(\int_{MV}b \rho MV) + \int_sb \rho \vec{v}.\vec{n} dS\)
• D. \((\frac{dB}{dt})_{MV} = \int_vb \rho dV + \frac{d}{dt}(\int_sb \rho \vec{v}.\vec{n} dS)\)