Physics-
General
Easy

Question

A small bead of mass m moving with velocity v gets threaded on a stationary semicircular ring of mass m and radius R kept on a horizontal table. The ring can freely rotate about its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of the system?

  1. v/R    
  2. 2v/R    
  3. v/2R    
  4. 3v/R    

The correct answer is: v/2R

Related Questions to study

General
physics-

A block of mass m is attached to a pulley disc of equal mass m, radius r by means of a slack string as shown. The pulley is hinged about its centre on a horizontal table and the block is projected with an initial velocity of 5 m/s. Its velocity when the string becomes taut will be

A block of mass m is attached to a pulley disc of equal mass m, radius r by means of a slack string as shown. The pulley is hinged about its centre on a horizontal table and the block is projected with an initial velocity of 5 m/s. Its velocity when the string becomes taut will be

physics-General
General
physics-

A rod hinged at one end is released from the horizontal position as shown in the figure. When it becomes vertical its lower half separates without exerting any reaction at the breaking point. Then the maximum angle blank to the power of ´ end exponent theta to the power of ´ end exponent made by the hinged upper half with the vertical is

A rod hinged at one end is released from the horizontal position as shown in the figure. When it becomes vertical its lower half separates without exerting any reaction at the breaking point. Then the maximum angle blank to the power of ´ end exponent theta to the power of ´ end exponent made by the hinged upper half with the vertical is

physics-General
General
physics-

A pulley is hinged at the centre and a massless thread is wrapped around it. The thread is pulled with a constant force F starting from rest. As the time increases

A pulley is hinged at the centre and a massless thread is wrapped around it. The thread is pulled with a constant force F starting from rest. As the time increases

physics-General
parallel
General
physics-

A uniform rod of mass m and length l hinged at its end is released from rest when it is in the horizontal position. The normal reaction at the hinge when the rod becomes vertical is :

A uniform rod of mass m and length l hinged at its end is released from rest when it is in the horizontal position. The normal reaction at the hinge when the rod becomes vertical is :

physics-General
General
physics-

An object is placed in front of a symmetrical convex lens with refractive index 1.5 and radius of curvature 40 cm. The surface of the lens further away from the object is silvered. Under auto-collimation condition, the object distance is

An object is placed in front of a symmetrical convex lens with refractive index 1.5 and radius of curvature 40 cm. The surface of the lens further away from the object is silvered. Under auto-collimation condition, the object distance is

physics-General
General
physics-

A thin symmetric double - convex lens of power P is cut into three parts A, B and C as shown. The power of

A thin symmetric double - convex lens of power P is cut into three parts A, B and C as shown. The power of

physics-General
parallel
General
physics-

A point object O moves from the principal axis of a converging lens in a direction OP. I is the image of O, will move initially in the direction

A point object O moves from the principal axis of a converging lens in a direction OP. I is the image of O, will move initially in the direction

physics-General
General
physics-

The figure, shows a transparent sphere of radius R and refractive index m. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. In previous problem, if the refractive index of the sphere is varied, then the position x of the object and its image from the respective poles will also vary. Identify the correct statement

The figure, shows a transparent sphere of radius R and refractive index m. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. In previous problem, if the refractive index of the sphere is varied, then the position x of the object and its image from the respective poles will also vary. Identify the correct statement

physics-General
General
physics-

The figure, shows a transparent sphere of radius R and refractive index mu. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. If an object is placed at a distance R from the pole of first surface, then the real image is formed at a distance R from the pole of the second surface. The refractive index m of the sphere is given by

The figure, shows a transparent sphere of radius R and refractive index mu. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. If an object is placed at a distance R from the pole of first surface, then the real image is formed at a distance R from the pole of the second surface. The refractive index m of the sphere is given by

physics-General
parallel
General
physics-

The figure, shows a transparent sphere of radius R and refractive index mu. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. If x = infinity, then the value of mu is

The figure, shows a transparent sphere of radius R and refractive index mu. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. If x = infinity, then the value of mu is

physics-General
General
physics-

The figure, shows a transparent sphere of radius R and refractive index mu. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. If x = 2R, then the value of mu is

The figure, shows a transparent sphere of radius R and refractive index mu. An object O is placed at a distance x from the pole of the first surface so that a real image is formed at the pole of the exactly opposite surface. If x = 2R, then the value of mu is

physics-General
General
physics-

A paraxial beam is incident on a glass (n = 1.5) hemisphere of radius R = 6 cm in air as shown. The distance of point of convergence F from the plane surface of hemisphere is

A paraxial beam is incident on a glass (n = 1.5) hemisphere of radius R = 6 cm in air as shown. The distance of point of convergence F from the plane surface of hemisphere is

physics-General
parallel
General
physics-

An opaque sphere of radius a is just immersed in a transparent liquid as shown in figure. A point source is placed on the vertical diameter of the sphere at a distance a/2 from the top of the sphere. One ray originating from the point source after refraction from the air liquid interface forms tangent to the sphere. The angle of refraction for that particular ray is 30°. The refractive index of the liquid is

An opaque sphere of radius a is just immersed in a transparent liquid as shown in figure. A point source is placed on the vertical diameter of the sphere at a distance a/2 from the top of the sphere. One ray originating from the point source after refraction from the air liquid interface forms tangent to the sphere. The angle of refraction for that particular ray is 30°. The refractive index of the liquid is

physics-General
General
physics-

A glass sphere of index 1.5 and radius 40 cm has half its hemispherical surface silvered. The point where a parallel beam of light, coming along a diameter, will focus (or appear to) after coming out of sphere, will be:

A glass sphere of index 1.5 and radius 40 cm has half its hemispherical surface silvered. The point where a parallel beam of light, coming along a diameter, will focus (or appear to) after coming out of sphere, will be:

physics-General
General
physics-

A beam of diameter ‘d’ is incident on a glass hemisphere as shown. If the radius of curvature of the hemisphere is very large in comparison to d, then the diameter of the beam at the base of the hemisphere will be:

A beam of diameter ‘d’ is incident on a glass hemisphere as shown. If the radius of curvature of the hemisphere is very large in comparison to d, then the diameter of the beam at the base of the hemisphere will be:

physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.