# Two particle A abd B are moving in uniform circular motion in concentric  circles of radii $r _ A \: \: and \: \: r _B$ with speed $v_A \: \: and \: \: v_B$ respectively . Their time period of rotation is the same . The ratio of angular speed of A to that of B will be : Option 1)$r _A : r_B$Option 2)$v_A : v_B$Option 3)$r _B : r _ A$Option 4)1 : 1

P Plabita

A                B

$Radius \ \ \ r_A \: \: \: \: \: r _B \\\\ velocity \ \ V_A \: \: \: \: \: V_B \\\\ angular \ \ velocity \ \ W_A \: \: \: \: \: W_B\\\\ time \ \ period \ \ T_A\: \: \: \: \: T_B$

$T = \frac{2 \pi }{\omega }$  as

$as \ \ T_A = T_B \\\\ so \: \: W_A = W_B$

Option 1)

$r _A : r_B$

Option 2)

$v_A : v_B$

Option 3)

$r _B : r _ A$

Option 4)

1 : 1

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