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Physics · WORK, ENERGY AND POWER

हिन्दी

A block of mass \( m \) is released from rest at the top of a smooth inclined plane of height \( h \). If the angle of inclination of the plane is doubled while keeping the vertical height \( h \) fixed, the speed of the block at the bottom of the plane will:

  1. double
  2. remain completely unchanged
  3. decrease by a factor of 2
  4. increase by a factor of \( \sqrt{2} \)

Correct answer · Option 2

remain completely unchanged

Explanation

For a conservative gravitational force, the speed at the bottom of a frictionless incline is \( v = \sqrt{2gh} \), which depends only on the vertical height \( h \) and is independent of the angle of inclination.
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