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← JEE Main 2022 · 25 Jul · Shift 1
PhysicsSingle correct+4 / -1Question 33 of 90

JEE Main 2022 · 25 Jul · Shift 1, Physics question 33

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

(Given cos⁡135°=−0.7\cos135°=-0.7)

Circle with centre O; A on the right end of a horizontal radius, B on the rim with angle AOB = 135°; an arrow shows motion anticlockwise from A to B.
Choose one option
Answer and worked solution

Official answer: B

Radius. r⋅3π4=60r\cdot\frac{3\pi}4=60, r≈25.5r\approx25.5 m.

Chord. r2−2cos⁡135°=25.53.4≈47r\sqrt{2-2\cos135°}=25.5\sqrt{3.4}\approx47 m.

(B)