For Pedal curve `P=f(r)`,the radius of curvature `rho` is :

A cyclist is moving on a smooth horizontal curved path of radius of curvature 10m.with a speed 10 ms^(-1) . Then his angle of leaning is

If two soap bubbles of equal radii r coalesce then the radius of curvature of interface between two bubbles will be

A plano-concave lens is made of glass of refractive index 1.5 and the radius of curvature of its curved face is 100 cm. What is the power of the lens?

A point source of light is placed at the centre of curvature of a hemispherical surface. The radius of curvature is r and the inner surface is completely reflecting. Find the force on the hemisphere due to the light falling on its if the source emits a power W.

A plano-convex lens (focal length f_2 , refractive index mu_(2) , radius of curvature R) fits exactly into a plano-concave lens (focal length f_(1) refractive index mu_1 , radius of curvature R). Their plane surfaces are parallel to each other. Then, the focal length of the combination will be :

(a) A point object, O is on the principle axis of a spherical surface having a radius of curvature, R. Draw a diagram to obtain the relation between the object and image distances, the refractive indicess of the media and the radius of curvature of the spherical surface.

The convex surface of a plano-convex lens is silvered and the radius of curvature of this surface is R. Find the focal length of the system:

A particle is projected from ground at an angle theta with horizontal with speed u. The ratio of radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is -

Assertion : The focal length of an equiconvex lens placed in air is equal to radius of curvature of either face. Reason : For an equiconvex lens radius of curvature of both the faces is same.

The plane face of a plano convex lens is silvered.If mu be the refrative index and R, the radius of curvature of curved suraface, then system will behave like a concave mirror of curvature