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NEET2019PhysicsMotion in Two DimensionsActual

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60 ° with horizontal, it can travel a distance x 1 along the plane. But, when the inclination is decreased to 30 ° and the same object is shot with the same velocity, it can travel x 2 distance. Then x 1 : x 2 will be

Options

  1. A1 : ⁡ 2
  2. B2 : ⁡ 1
  3. C1 : ⁡ 3
  4. D1 : ⁡ 2 3

Correct answer

C. 1 : ⁡ 3

Step-by-step solution

The equation of motion in exclusive v 2 = 2 g sin 60 ° x 1   … ( 1 ) v 2 = 2 g sin 30 ° x 2 Equating, 2 g sin 60 ° x 1 = 2 g sin 30 ° x 2 x 1 : x 2 = 1 : 3

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