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AIIMS 2016
Exam
AIIMS
Year
2016
Subject
Physics
Chapter
Laws of Motion

AIIMS 2016 · Physics · Laws of Motion

A stone of mass 0.3 ~kg attached to a 1.5 ~m long string is whirled...

A stone of mass 0.3 kg0.3 \mathrm{~kg} attached to a 1.5 m1.5 \mathrm{~m} long string is whirled around in a horizontal circle at a speed of 6 m s−16 \mathrm{~m} \mathrm{~s}^{-1}. The tension in the string is

Options

  1. A10 N10 \mathrm{~N}
  2. B20 N20 \mathrm{~N}
  3. C7.2 N7.2 \mathrm{~N}
  4. D30 N30 \mathrm{~N}

Correct answer

C. 7.2 N7.2 \mathrm{~N}

Step-by-step solution

Here, mass of the stone m=0.3 kgm=0.3 \mathrm{~kg} Length of a string =1.5 m=1.5 \mathrm{~m} Speed v=6 m/sv=6 \mathrm{~m} / \mathrm{s} T=mv2R=(0.3)(6)21.5=7.2 NT=\frac{m v^2}{R}=\frac{(0.3)(6)^2}{1.5}=7.2 \mathrm{~N}
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