Question

.A particle moves along a circular arc of radius R making an angle of ø at centre. The magnitude of

displacement is -

(A) 2R sin ø/2 (B) 2R sin ø​

Answer 1

Explanation:

Correct option is

A

2Rsinθ/2

Answer 2

A

2Rsinθ/2

Let the particle move from P to Q 

The triangle in the figure is isosceles triangle.

OP=OQ=R

Let ∠POQ=x

Using sine law:

sin(2180°−x)OP=sinxPQsin2A=2sinAcosA∴PQ=2Rsin(2x)=2Rsin(2θ)

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