A) \[{{f}_{sl}}>{{f}_{st}}>{{f}_{roll}}\]
B) \[{{f}_{st}}>{{f}_{sl}}>{{f}_{roll}}\]
C) \[{{f}_{st}}>{{f}_{roll}}>{{f}_{sl}}\]
D) \[{{f}_{sl}}>{{f}_{roll}}>{{f}_{st}}\]
Correct Answer: B
Solution :
The force of friction present between any two given objects depends on the nature of the motion of one over the other. Friction is offered by the interlocking of surfaces. When two surfaces are at rest over one another, the interlocking is the maximum. This is called static friction. Maximum force is required to overcome static friction(\[{{f}_{st}}\]). Sliding friction, \[{{f}_{sl}},\]is greater than rolling friction,\[{{f}_{roll}}\]. This is because it is more difficult to slide over interlocking than roll them over. Hence, these frictions are related as:\[{{f}_{st}}>{{f}_{sl}}>{{f}_{roll}}\] The correct answer is B.
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