Angle OF rotation

Angle as rotation of a ray.

When 20 gm optically active compound is placed in a 10 dm tube, in a 200 ml solution rotates the PPL by 30^(@) : (a) What is the angle of rotation if above solution is dilute to 1 litre ? (b) What is the specific angle of rotation if above solution is diluted to 1 litre ?

Lines L_(1) & L_(2) are rotating in an anticlockwise direction about the points A(-2,) and B(2,0) respectively in such a way that the speed of angle of rotation of line L_(2) is double as that of L_(1) . Initially equations of both lines are y = 0. If the angle of rotation of line L_(2) varies between 0 to (pi)/(2) , then the locus of point of intersection P of lines L_(1) & L_(2) is part of a circle whose radius is equal to

A particle is at rest, It starts rotating about a fixed point. Its angle of rotation (theta) with time (t) is given by the relation : theta = (6t^3)/(15) - (t^2)/(2) where theta is in radian and t is seconds. Find the angular velocity and angular acceleration of a particle at the end of 6 second.

Inverison of sucrose is studied by measuring the angle of rotation at any time t . underset(("Sucrose"))(C_(12)H_(22)O_(11))underset(("Glucose"))(+H_(2)O) overset(H^(o+))rarrunderset(("Fructose"))(C_(6)H_(12))O_(6)+C_(6)H_(12)O_(6) It is found that (r_(oo) - r_(0)) prop a and (r_(oo) - r_(t)) prop, (a-x) , where r_(0), r_(t) , and r_(oo) are the angle of rotation at the start, at the time t , and at the end of the reaction, respectively. Form the following values calculate the rate constant and the time at which the solution is optically inactive. |{:("Time (min)",0.0,46.0,oo),("Rotation of polarized light (degree)",24.1,10.0,-10.7):}|

Complete angle if a rotating ray after making a complete revolution coincide with the initial position the angle formed is called a complete angle.

A wheel rotates under constant angular acceleration starting from rest. Find the ratio of angle rotated in n second and n^(th) second .

a ray of light is incident on a plane miror at an angle of 30^(@) in anti-clockwise direction. Find the angle and sense of rotation of the reflected ray.

A solid body rotates about a stationary axis so that its angular velocity depends on the rotation angle  as   = 0 – k , where    0 and k are positive constants. At the moment t = 0, the angle  = 0. Find the time dependence of rotation angle -