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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Motion in Two Dimensions

NEET 2019 · Physics · Motion in Two Dimensions

When an object is shot from the bottom of a long smooth inclined...

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60°60 ° with horizontal, it can travel a distance x1{x}_{1} along the plane. But, when the inclination is decreased to 30°30 ° and the same object is shot with the same velocity, it can travel x2{x}_{2} distance. Then x1:x2{x}_{1}: {x}_{2} will be

Options

  1. A1:21: \sqrt{2}
  2. B2:1\sqrt{2}: 1
  3. C1:31: \sqrt{3}
  4. D1:231: 2\sqrt{3}

Correct answer

C. 1:31: \sqrt{3}

Step-by-step solution

The equation of motion in exclusive
v2=2gsin60°x1…(1){v}^{2} = 2gsin60 ° {x}_{1} \ldots ( 1 )
v2=2gsin30°x2{v}^{2} = 2gsin30 ° {x}_{2}
Equating,
2gsin60°x1=2gsin30°x22gsin60 ° {x}_{1} = 2gsin30 ° {x}_{2}
x1:x2=1:3{x}_{1}: {x}_{2} = 1: \sqrt{3}
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