Physics-
General
Easy

Question

A small particle of mass m = 1kg and charge of 1C enters perpendicularly in a triangular region of uniform magnetic field of strength 2T as shown in figure :

Calculate maximum velocity of the particle with which it should enter so that it complete a half–circle in magnetic region:

  1. 2 m/s    
  2. 2.5 m/s    
  3. 3 m/s    
  4. 4 m/s    

The correct answer is: 3 m/s


    In triangle PMC

    table row cell c o s invisible function application 53 to the power of ring operator end exponent equals fraction numerator M P over denominator M C end fraction end cell row cell fraction numerator 3 over denominator 5 end fraction equals fraction numerator R over denominator 4 minus R end fraction end cell row cell 12 equals 8 R end cell end table
    R equals fraction numerator 3 over denominator 2 end fraction m (R is the maximum radius of half–circle)
    table row cell R subscript r a x end subscript equals fraction numerator m u subscript m a x end subscript over denominator q B end fraction end cell row cell rightwards double arrow U subscript m a x end subscript equals 3 m divided by s. end cell end table

    Related Questions to study

    General
    physics-

    A straight wire current element is carrying current 100 A, as shown in the figure. The magnitude of magnetic field at point P which is at perpendicular distance left parenthesis square root of 3 minus 1 right parenthesis m from the current element if end A and end B of the element subtend angle 30 to the power of ring operator end exponent and 60 to the power of ring operator end exponent at point P, as shown, is :

    A straight wire current element is carrying current 100 A, as shown in the figure. The magnitude of magnetic field at point P which is at perpendicular distance left parenthesis square root of 3 minus 1 right parenthesis m from the current element if end A and end B of the element subtend angle 30 to the power of ring operator end exponent and 60 to the power of ring operator end exponent at point P, as shown, is :

    physics-General
    General
    physics-

    Determine the magnetic field at the centre of the current carrying wire arrangement shown in the figure. The arrangement extends to infinity. (The wires joining the successive squares are along the line passing through the centre)

    Determine the magnetic field at the centre of the current carrying wire arrangement shown in the figure. The arrangement extends to infinity. (The wires joining the successive squares are along the line passing through the centre)

    physics-General
    General
    physics-

    Two long cylinders (with axis parallel) are arranged as shown to form overlapping cylinders, each of radius r, whose centers are separated by a distance d. Current of density J (Current per unit area) flows into the plane of page along the right shaded part of one cylinder and an equal current flow out of the plane of the page along the left shaded part of the other, as shown in the figure. The magnitude and direction of magnetic field at point O (O is the origin of shown x-y axes) are

    Two long cylinders (with axis parallel) are arranged as shown to form overlapping cylinders, each of radius r, whose centers are separated by a distance d. Current of density J (Current per unit area) flows into the plane of page along the right shaded part of one cylinder and an equal current flow out of the plane of the page along the left shaded part of the other, as shown in the figure. The magnitude and direction of magnetic field at point O (O is the origin of shown x-y axes) are

    physics-General
    parallel
    General
    physics-

    A long straight wire, carrying current I, is bent at its midpoint to form an angle of 45 to the power of ring operator end exponent Magnetic field at point P, distance R from point of bending is equal to :

    A long straight wire, carrying current I, is bent at its midpoint to form an angle of 45 to the power of ring operator end exponent Magnetic field at point P, distance R from point of bending is equal to :

    physics-General
    General
    physics-

    Three infinite current carrying conductors are placed as shown in figure Two wires carry same current while current in third wire is unknown. The three wires do not intersect with each other and all of them are in the plane of paper. Which of the following is correct about a point 'P' which is also in the same plane :

    Three infinite current carrying conductors are placed as shown in figure Two wires carry same current while current in third wire is unknown. The three wires do not intersect with each other and all of them are in the plane of paper. Which of the following is correct about a point 'P' which is also in the same plane :

    physics-General
    General
    physics-

    A uniform magnetic field of 1.5 T exists in a cylindrical region of radius 10.0 cm, its direction being parallel to the axis along east to west. A current carrying wire in north south direction passes through this region. The wire intersects the axis and experience a force of 1.2 N downward. (As shown in figure). If the wire is turned from North South to north east–southwest direction, then magnitude and direction of force is

    A uniform magnetic field of 1.5 T exists in a cylindrical region of radius 10.0 cm, its direction being parallel to the axis along east to west. A current carrying wire in north south direction passes through this region. The wire intersects the axis and experience a force of 1.2 N downward. (As shown in figure). If the wire is turned from North South to north east–southwest direction, then magnitude and direction of force is

    physics-General
    parallel
    General
    physics-

    A uniform, constant magnetic field stack B with bar on top is directed at an angle of 45 to the power of ring operator end exponent to the x-axis in the xy-plane, PQRS is a rigid square wire frame carrying a steady current I subscript 0 end subscript, with its centre at the origin O. At time t = 0, the frame is at rest in the position shown in the figure, with its sides parallel to the x and y axes. Each side of the frame is of mass M and length L.. The torque stack tau with rightwards arrow on top about O acting on the frame due to the magnetic field will be

    A uniform, constant magnetic field stack B with bar on top is directed at an angle of 45 to the power of ring operator end exponent to the x-axis in the xy-plane, PQRS is a rigid square wire frame carrying a steady current I subscript 0 end subscript, with its centre at the origin O. At time t = 0, the frame is at rest in the position shown in the figure, with its sides parallel to the x and y axes. Each side of the frame is of mass M and length L.. The torque stack tau with rightwards arrow on top about O acting on the frame due to the magnetic field will be

    physics-General
    General
    physics-

    In the plane mirror, the co-ordinates of image of charged particle (initially at origin as shown) after two and half time periods are (initial velocity V0 is in the xy-plane and the plane mirror is perpendicular to the x-axis. A uniform magnetic field text end text text Bî end text exists in the whole space. P o is pitch of helix, R subscript 0 end subscript is radius of helix).

    In the plane mirror, the co-ordinates of image of charged particle (initially at origin as shown) after two and half time periods are (initial velocity V0 is in the xy-plane and the plane mirror is perpendicular to the x-axis. A uniform magnetic field text end text text Bî end text exists in the whole space. P o is pitch of helix, R subscript 0 end subscript is radius of helix).

    physics-General
    General
    physics-

    A uniform magnetic field of magnitude 1 T exists in region y greater or equal than 0 is along stack k with hat on top direction as shown. A particle of charge 1 C is projected from point left parenthesis negative square root of 3 comma negative 1 right parenthesis towards origin with speed 1 m/sec. If mass of particle is 1 kg, then co-ordinates of centre of circle in which particle moves are

    A uniform magnetic field of magnitude 1 T exists in region y greater or equal than 0 is along stack k with hat on top direction as shown. A particle of charge 1 C is projected from point left parenthesis negative square root of 3 comma negative 1 right parenthesis towards origin with speed 1 m/sec. If mass of particle is 1 kg, then co-ordinates of centre of circle in which particle moves are

    physics-General
    parallel
    General
    physics-

    Figure shows an equilateral triangle ABC of side lambda carrying currents, placed in uniform magnetic field B. The magnitude of magnetic force on triangle is

    Figure shows an equilateral triangle ABC of side lambda carrying currents, placed in uniform magnetic field B. The magnitude of magnetic force on triangle is

    physics-General
    General
    physics-

    If a charged particle of charge to mass ratio q/m = alpha is entering in a uniform magnetic field of strength B which is extended up to 4d as shown in figure at a speed v = (2alphad)(B), then which of the following is correct :

    If a charged particle of charge to mass ratio q/m = alpha is entering in a uniform magnetic field of strength B which is extended up to 4d as shown in figure at a speed v = (2alphad)(B), then which of the following is correct :

    physics-General
    General
    physics-

    An electron moving with velocity V along the axis approaches a circular current carrying loop as shown in the figure. The magnitude of magnetic force on electron at this instant is

    An electron moving with velocity V along the axis approaches a circular current carrying loop as shown in the figure. The magnitude of magnetic force on electron at this instant is

    physics-General
    parallel
    General
    physics-

    A coaxial cable is made up of two conductors. The inner conductor is solid and is of radius R1 & the outer conductor is hollow of inner radius R2 and outer radius R3. The space between the conductors is filled with air. The inner and outer conductors are carrying currents of equal magnitudes and in opposite directions. Then the variation of magnetic field with distance from the axis is best plotted as:

    A coaxial cable is made up of two conductors. The inner conductor is solid and is of radius R1 & the outer conductor is hollow of inner radius R2 and outer radius R3. The space between the conductors is filled with air. The inner and outer conductors are carrying currents of equal magnitudes and in opposite directions. Then the variation of magnetic field with distance from the axis is best plotted as:

    physics-General
    General
    physics-

    Figure shows an amperian path ABCDA. Part ABC is in vertical plane PSTU while part CDA is in horizontal plane PQRS. Direction of circulation along the path is shown by an arrow near point B and at text D.  end text integral stack B with rightwards arrow on top times stack d with rightwards arrow on top l for this path according to Ampere’s law will be :

    Figure shows an amperian path ABCDA. Part ABC is in vertical plane PSTU while part CDA is in horizontal plane PQRS. Direction of circulation along the path is shown by an arrow near point B and at text D.  end text integral stack B with rightwards arrow on top times stack d with rightwards arrow on top l for this path according to Ampere’s law will be :

    physics-General
    General
    physics-

    A steady current is set up in a cubic network composed of wires of equal resistance and length d as shown in figure. What is the magnetic field at the centre of cube P due to the cubic network ?

    A steady current is set up in a cubic network composed of wires of equal resistance and length d as shown in figure. What is the magnetic field at the centre of cube P due to the cubic network ?

    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.