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Which of the following quantities has the dimension of [M^0 L^0 T^0]?

Practice Questions

Q1
Which of the following quantities has the dimension of [M^0 L^0 T^0]?
  1. Mass
  2. Time
  3. Length
  4. Angle

Questions & Step-by-Step Solutions

Which of the following quantities has the dimension of [M^0 L^0 T^0]?
  • Step 1: Understand what [M^0 L^0 T^0] means. This notation indicates a dimensionless quantity, meaning it has no mass (M), length (L), or time (T).
  • Step 2: Identify examples of dimensionless quantities. One common example is an angle, which can be measured in degrees or radians.
  • Step 3: Confirm that angles do not depend on mass, length, or time. They are purely a measure of rotation.
  • Step 4: Conclude that since angles do not have any dimensions, they are represented as [M^0 L^0 T^0].
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