Physics-
General
Easy

Question

A unit positive point charge of mass m is projected with a velocity V inside the tunnel as shown. The tunnel has been made inside a uniformly charged non conducting sphere. The minimum velocity with which the point charge should be projected such it can it reach the opposite end of the tunnel, is equal to

  1. open square brackets rho R to the power of 2 end exponent divided by 4 m epsilon subscript 0 end subscript close square brackets to the power of 1 divided by 2 end exponent    
  2. open square brackets rho R to the power of 2 end exponent divided by 24 m epsilon subscript 0 end subscript close square brackets to the power of 1 divided by 2 end exponent    
  3. open square brackets rho R to the power of 2 end exponent divided by 6 m epsilon subscript 0 end subscript close square brackets to the power of 1 divided by 2 end exponent    
  4. zero because the initial and the final points are at same potential.    

The correct answer is: open square brackets rho R to the power of 2 end exponent divided by 4 m epsilon subscript 0 end subscript close square brackets to the power of 1 divided by 2 end exponent

Related Questions to study

General
physics-

The diagram shows a small bead of mass m carrying charge q. The bead can freely move on the smooth fixed ring placed on a smooth horizontal plane. In the same plane a charge +Q has also been fixed as shown. The potential at the point P due to +Q is V. The velocity with which the bead should projected from the point P so that it can complete a circle should be greater than

The diagram shows a small bead of mass m carrying charge q. The bead can freely move on the smooth fixed ring placed on a smooth horizontal plane. In the same plane a charge +Q has also been fixed as shown. The potential at the point P due to +Q is V. The velocity with which the bead should projected from the point P so that it can complete a circle should be greater than

physics-General
General
physics-

In space of horizontal EF (E = (mg)/q) exist as shown in figure and a mass m attached at the end of a light rod. If mass m is released from the position shown in figure find the angular velocity of the rod when it passes through the bottom most position

In space of horizontal EF (E = (mg)/q) exist as shown in figure and a mass m attached at the end of a light rod. If mass m is released from the position shown in figure find the angular velocity of the rod when it passes through the bottom most position

physics-General
General
physics-

A bullet of mass m and charge q is fired towards a solid uniformly charged sphere of radius R and total charge + q. If it strikes the surface of sphere with speed u, find the minimum speed u so that it can penetrate through the sphere. (Neglect all resistance forces or friction acting on bullet except electrostatic forces)

A bullet of mass m and charge q is fired towards a solid uniformly charged sphere of radius R and total charge + q. If it strikes the surface of sphere with speed u, find the minimum speed u so that it can penetrate through the sphere. (Neglect all resistance forces or friction acting on bullet except electrostatic forces)

physics-General
parallel
General
physics-

An infinite number of concentric rings carry a charge Q each alternately positive and negative. Their radii are 1, 2, 4, 8...... meters in geometric progression as shown in the figure. The potential at the centre of the rings will be

An infinite number of concentric rings carry a charge Q each alternately positive and negative. Their radii are 1, 2, 4, 8...... meters in geometric progression as shown in the figure. The potential at the centre of the rings will be

physics-General
General
physics-

A charged particle having some mass is resting in equilibrium at a height H above the centre of a uniformly charged non-conducting horizontal ring of radius R. The force of gravity acts downwards. The equilibrium of the particle will be stable

A charged particle having some mass is resting in equilibrium at a height H above the centre of a uniformly charged non-conducting horizontal ring of radius R. The force of gravity acts downwards. The equilibrium of the particle will be stable

physics-General
General
physics-

A particle of mass m and charge Q is placed in an electric field E which varies with time t ass E equals E subscript 0 end subscript s i n invisible function application omega t. It will undergo simple harmonic motion of amplitude

A particle of mass m and charge Q is placed in an electric field E which varies with time t ass E equals E subscript 0 end subscript s i n invisible function application omega t. It will undergo simple harmonic motion of amplitude

physics-General
parallel
General
physics-

The given figure shows a network of resistances and a battery.

Identify the correct statement(s)

The given figure shows a network of resistances and a battery.

Identify the correct statement(s)

physics-General
General
physics-

The figure shows a tetrahedron, each side of which has a resistance r

Choose the correct statement(s) related to the resistance between any two points

The figure shows a tetrahedron, each side of which has a resistance r

Choose the correct statement(s) related to the resistance between any two points

physics-General
General
physics-

Inside a super conducting ring six identical resistors each of resistance R are connected as shown in figure

The equivalent resistance(s)

Inside a super conducting ring six identical resistors each of resistance R are connected as shown in figure

The equivalent resistance(s)

physics-General
parallel
General
physics-

The figure shows a network of resistors and a battery. If 1A current flows through the branch CF, then answer the following questions

The current through

The figure shows a network of resistors and a battery. If 1A current flows through the branch CF, then answer the following questions

The current through

physics-General
General
physics-

Consider the circuit shown in the figure

Consider the circuit shown in the figure

physics-General
General
physics-

In the circuit shown E, F, G and H are cells of e.m.f. 2V, 1V, 3V and 1V respectively and their internal resistances are 2capital omega, 1capital omega, 3capital omega and 1capital omega respectively

In the circuit shown E, F, G and H are cells of e.m.f. 2V, 1V, 3V and 1V respectively and their internal resistances are 2capital omega, 1capital omega, 3capital omega and 1capital omega respectively

physics-General
parallel
General
physics-

A conductor is made of an isotropic material and has shape of a truncated cone. A battery of constant emf is connected across it and its left end is earthed as shown in figure. If at a section distant x from left end, electric field intensity, potential and the rate of generation of heat per unit length are E, V and H respectively, which of the following graphs is/are correct?

A conductor is made of an isotropic material and has shape of a truncated cone. A battery of constant emf is connected across it and its left end is earthed as shown in figure. If at a section distant x from left end, electric field intensity, potential and the rate of generation of heat per unit length are E, V and H respectively, which of the following graphs is/are correct?

physics-General
General
physics-

A metallic conductor of irregular cross-section is as shown in the figure. A constant potential difference is applied across the ends (1) and (2). Then :

A metallic conductor of irregular cross-section is as shown in the figure. A constant potential difference is applied across the ends (1) and (2). Then :

physics-General
General
physics-

In the given potentiometer circuit, the resistance of the potentiometer wire AB is R subscript 0 end subscript. C is a cell of internal resistance r. The galvanometer G does not give zero deflection for any position of the jockey J. Which of the following cannot be a reason for this?

In the given potentiometer circuit, the resistance of the potentiometer wire AB is R subscript 0 end subscript. C is a cell of internal resistance r. The galvanometer G does not give zero deflection for any position of the jockey J. Which of the following cannot be a reason for this?

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.