Physics-
General
Easy

Question

A nonconducting ring of radius R has two charges q and q/2 distributed uniformly on two half of it. A negative charge q/2 (mass = m) is placed at a distance R from the centre of the ring on its axis at a point P and released. If this charge is restricted to move freely only along the axis of the ring, find the speed of this charge when it crosses the centre of the ring

  1. open square brackets fraction numerator 3 K q to the power of 2 end exponent over denominator 2 square root of 2 R m end fraction left parenthesis square root of 2 minus 1 right parenthesis close square brackets to the power of 1 divided by 2 end exponent    
  2. open square brackets fraction numerator 3 K q to the power of 2 end exponent over denominator R m end fraction left parenthesis square root of 2 minus 1 right parenthesis close square brackets to the power of 1 divided by 2 end exponent    
  3. open square brackets 3 square root of 2 fraction numerator K q to the power of 2 end exponent over denominator R m end fraction left parenthesis square root of 2 minus 1 right parenthesis close square brackets to the power of 1 divided by 2 end exponent    
  4. open square brackets fraction numerator 3 K q to the power of 2 end exponent over denominator 2 R m end fraction left parenthesis square root of 2 minus 1 right parenthesis close square brackets to the power of 1 divided by 2 end exponent    

The correct answer is: open square brackets fraction numerator 3 K q to the power of 2 end exponent over denominator 2 square root of 2 R m end fraction left parenthesis square root of 2 minus 1 right parenthesis close square brackets to the power of 1 divided by 2 end exponent

Related Questions to study

General
physics-

An electroscope is given a positive charge, causing its foil leaves to separate. When an object is brought near the top plate of the electroscope, the foils separate even further. We could conclude

An electroscope is given a positive charge, causing its foil leaves to separate. When an object is brought near the top plate of the electroscope, the foils separate even further. We could conclude

physics-General
General
physics-

Two point like charges a & b whose magnitudes are same are positioned at a certain distance from each other, a is at origin. Graph is drawn between electric field strength and distance x from a. E is taken positive if it is along the line joining from a to b

Two point like charges a & b whose magnitudes are same are positioned at a certain distance from each other, a is at origin. Graph is drawn between electric field strength and distance x from a. E is taken positive if it is along the line joining from a to b

physics-General
General
physics-

Several particles are projected simultaneously in the same vertical plane from a fixed point O, all with the same initial speed but with different angles of projection with the horizontal

Several particles are projected simultaneously in the same vertical plane from a fixed point O, all with the same initial speed but with different angles of projection with the horizontal

physics-General
parallel
General
physics-

A car travels with constant speed on a circular road on level ground. In the diagram above, Fair is the force of air resistance on the car. Which of the other forces shown best represents the horizontal force of the road on the car's tires?

A car travels with constant speed on a circular road on level ground. In the diagram above, Fair is the force of air resistance on the car. Which of the other forces shown best represents the horizontal force of the road on the car's tires?

physics-General
General
physics-

System shown in figure is released from rest. Pulley and spring is massless and friction is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with ground is (Take force constant of spring k = 40 N/m and g = open 10 m divided by s to the power of 2 end exponent close parentheses:
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/589679/1/1082690/Picture74.png" alt=""

System shown in figure is released from rest. Pulley and spring is massless and friction is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with ground is (Take force constant of spring k = 40 N/m and g = open 10 m divided by s to the power of 2 end exponent close parentheses:
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/589679/1/1082690/Picture74.png" alt=""

physics-General
General
physics-

For the biprism experiment shown in the figure, the fringe width increases when

For the biprism experiment shown in the figure, the fringe width increases when

physics-General
parallel
General
physics-

When the cart maximally compresses the spring at the bottom of the fixed track, the cart’s

When the cart maximally compresses the spring at the bottom of the fixed track, the cart’s

physics-General
General
physics-

An endless inextensible string passes over two small smooth pegs A and B, AB being horizontal, two particles of mass M and m (M > m) are attached to the string. The particle of mass m is released when it is in level with the pegs. As it comes down M rises up vertically. If and when they cross each other

An endless inextensible string passes over two small smooth pegs A and B, AB being horizontal, two particles of mass M and m (M > m) are attached to the string. The particle of mass m is released when it is in level with the pegs. As it comes down M rises up vertically. If and when they cross each other

physics-General
General
physics-

A ray of light parallel to the axis of a converging lens (having focal length f ) strikes it at a small distance ‘h’ from its optical centre. A thin prism having angle q and refractive index m is placed normal to the axis of lens at a distance ‘d’ from it. What should be the value of m so that the ray emerges parallel to the lens axis.

A ray of light parallel to the axis of a converging lens (having focal length f ) strikes it at a small distance ‘h’ from its optical centre. A thin prism having angle q and refractive index m is placed normal to the axis of lens at a distance ‘d’ from it. What should be the value of m so that the ray emerges parallel to the lens axis.

physics-General
parallel
General
physics-

An observer looks down on two glass plates, one placed on top of the other. The top plate pivots about a line of contact at its edge as shown in the figure. The angle created by the pivoting motion increases in time. Which is true?

An observer looks down on two glass plates, one placed on top of the other. The top plate pivots about a line of contact at its edge as shown in the figure. The angle created by the pivoting motion increases in time. Which is true?

physics-General
General
physics-

In a YDSE, if the incident light consists of two wavelengths lambda subscript 1 end subscript and lambda subscript 2 end subscript, the slit separation is d, and the distance between the slit and the screen is D, the maxima due to each wavelength will coincide at a distance from the central maxima, given by

In a YDSE, if the incident light consists of two wavelengths lambda subscript 1 end subscript and lambda subscript 2 end subscript, the slit separation is d, and the distance between the slit and the screen is D, the maxima due to each wavelength will coincide at a distance from the central maxima, given by

physics-General
General
physics-

The central maximum normally occurs at a spot on the screen midway between the two slits at room temperature. On insertion of the transparent plate –

The central maximum normally occurs at a spot on the screen midway between the two slits at room temperature. On insertion of the transparent plate –

physics-General
parallel
General
physics-

Two coherent sources A & B emitting light of wavelength lambda are placed at position (–D, 0) and (–D, 3lambda) respectively. Here D >> lambda. The number of minima on y-axis and maxima on x-axis respectively are

Two coherent sources A & B emitting light of wavelength lambda are placed at position (–D, 0) and (–D, 3lambda) respectively. Here D >> lambda. The number of minima on y-axis and maxima on x-axis respectively are

physics-General
General
physics-

An object 'O' is kept in air in front of a thin plano convex lens of radius of curvature 10 cm. It's refractive index is 3/2 and the medium towards right of plane surface is water of refractive index 4/3. What should be the distance 'x' of the object so that the rays become parallel finally.

An object 'O' is kept in air in front of a thin plano convex lens of radius of curvature 10 cm. It's refractive index is 3/2 and the medium towards right of plane surface is water of refractive index 4/3. What should be the distance 'x' of the object so that the rays become parallel finally.

physics-General
General
physics-

A beam of white light is incident on a combinations of prisms with equal angles. In the out going beam the rainbow colours are observed as shown. Then

A beam of white light is incident on a combinations of prisms with equal angles. In the out going beam the rainbow colours are observed as shown. Then

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.