Aparticle moves with a speed `v` changes direction by an angle `theta`, without change in speed.

Options

A. `(i) , (ii)`
B. `(i) ,(iii)`
C. `(i) ,(ii) ,(iii)`
D. all

Answer

B

Explanation

`Delta vec(v) = vec(v_(2)) - vec(v_(1)) = vec(v_(2)) + (- vec(v_(1)))`
`| Delta vec(v)| = Delta v = sqrt(v^(2) + v^(2) + 2 v .v . Cos(180 - theta))`
`= sqrt(2) v sqrt(1 - cos theta)`
`= sqrt(2) v sqrt( 1 - ( 1 - 2 sin^(2) (theta)/(2)))`
`= 2 v sin ((theta)/(2))`
"The magnitude of the velocity always remains same".