A skater weighing 1000 N skates at a speed of 20 m/s on ice maintained at \[0{}^\circ C.\] the average skating area supporting the skater is \[0.001\,{{m}^{2}}\] and the coefficient of friction between the skatesandice is 0.02. What will be the average thickness of a film of water existing at the interface between the skater and ice? (Take dynamic viscosity of water as \[0.001\,\text{Ns/}{{\text{m}}^{\text{2}}}\])

• A. \[{{10}^{-5m}}\]
• B. \[{{10}^{-6}}\]
• C. \[{{10}^{-2}}\]
• D. Not possible to estimate since there cannot be a possibility, of formation of a thin film of water at interface