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QJEEM22Ph562c: JEE Main 2022 Physics - Class 11 JEEM22Ph562c Solution: A person moved from A to B on a circular path as shown in…

A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m60 \mathrm{~m} , then the magnitude of displacement would be :

(Given cos⁡135∘=−0.7)\left.\cos 135^{\circ}=-0.7\right)

JEE Main 2022 (Online) 25th July Morning Shift Physics - Circular Motion Question 33 English

Multiple Choice Options

  • A 42 m
  • B 47 m
  • C 19 m
  • D 40 m

Step-by-Step Verified Solution

Distance travelled = 60 m

⇒\Rightarrow Angle covered = 135 ∘^\circ

Displacement =2Rsin⁡(135∘2)= 2R\sin \left( {{{135^\circ } \over 2}} \right)

=2(60135×180π)[1−cos⁡(135∘)2]1/2= 2\left( {{{60} \over {135}} \times {{180} \over \pi }} \right){\left[ {{{1 - \cos (135^\circ )} \over 2}} \right]^{1/2}}

=2(80π)(0.85)1/2= 2\left( {{{80} \over \pi }} \right){(0.85)^{1/2}}

≈47\approx 47 m

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