Name the physical quantity related to the following unit: watt. 

In mechanics, one joule of work done for one second uses up one watt of energy. Additionally, it may be explained in electrical terms as the flow of 1A at 1V. Since the terms force or pressure have nothing to do with electricity, the only options are work or power.

As a push or pull or as the rate of change of momentum, force is defined as both. i.e. force = $\frac{dp}{dt}=m{a}^2$, Newton is presented as the unit $kgm/s^2=N$.

Power is the term denoting the speed at which labour is performed. i.e. $P=\frac{W.D}{dt}$ with units, $J/s$
Work is the force that propels a body into motion. that is, force times distance equals work. Then, joules are used as its units. J
Since the definition of pressure is "force per unit area," pressure $=\frac{F}{dt}$ then its units is given as $N/{\mathrm{m}}^2$
However, we are aware that in mechanics, a watt—named for the scientist Watt—is the amount of energy used to perform one joule for one second. i.e. $1W=\frac{1J}{1s}$. And It may be described in electrical terms as the flow of 1A at 1V, or vice versa $1W=1A\times 1V$
The fact that their definitions don't line up with the definition of watt makes it evident that force, work, or pressure do not have watt as their unit. The sole other choice is power, whose definition coincides with that of watt; as a result, the physical amount power has the unit watt.
Hence, the correct answer is option B.