Verified Solution • 2025–26 Session moderate

QJEEM19Ph038a: JEE Main 2019 Physics - Class 11 JEEM19Ph038a Solution: A block kept on a rough inclined plane, as shown in the figure, …

A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N. The coefficient of static friction between the block and the plane is : [Take g = 10 m/s2]

JEE Main 2019 (Online) 12th January Evening Slot Physics - Laws of Motion Question 102 English

Multiple Choice Options

  • A 34{{\sqrt 3 } \over 4}
  • B 12{1 \over 2}
  • C 32{{\sqrt 3 } \over 2}
  • D 23{2 \over 3}

Step-by-Step Verified Solution

2 + mg sin30 = μ\mu mg cos30o

10 = mgsin30 + μ\mu mg cos30o

= 2 μ\mu mg cos30 −- 2

6 = μ\mu mg cos30

4 = mg sin30

32=μ×3{3 \over 2} = \mu \times \sqrt 3

μ\mu = 32{{\sqrt 3 } \over 2}

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