Question:

In a process of separation of particle using cyclone separator, centrifugal force acting on the particle can be increased by:

Show Hint

Centrifugal force \(\propto\) 1/r.
Smaller radius = higher centrifugal force.
Also \(\propto\) v\(^2\).
  • Increasing radius of rotation
  • Reducing radius of rotation
  • Increasing acceleration due to gravity
  • Reducing tangential velocity of particle
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Concept:
Cyclone separators use centrifugal force for separation.
Centrifugal force depends on certain parameters.

Step 2: Key Formula or Approach:

Centrifugal force = m \(\times\) v\(^2\) r.
Where m is mass, v is tangential velocity, r is radius of rotation.

Step 3: Detailed Explanation:

From the formula, centrifugal force is inversely proportional to radius.
Increasing radius decreases the force.
Reducing radius increases the force.
Gravity is not a factor in cyclone separators.
Reducing tangential velocity decreases the force.
Thus, reducing radius of rotation increases centrifugal force.

Step 4: Final Answer:

Centrifugal force can be increased by reducing radius of rotation.
Hence, the correct option is (B).
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