A proton and a deuteron with the same initial kinetic energy ente

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111.

A proton and a deuteron with the same initial kinetic energy enter a magnetic field in a direction perpendicular to the direction of the field. The ratio of the radii of the circular trajectories described by them is

  • 1 : 4

  • 1 : 2

  • 1 : 1

  • 1 : 2


B.

1 : 2

For a moving charge in a perpendicular magnetic field

   mv2r = Bqv   r = mvBq = pBqor   rprd = PpPd   (as q is same for both)     ........ (i)Also, momentum p = 2mEor                     PpPd = mpmd                       ...... (ii)From Eq. (i) and (ii), we haverprd = mpmd = 12 = 12


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112.

Two tangent galvanometers A and B have coils of radii 8 cm and 16 cm respectively and resistance 8 Ω each. They are connected in parallel wth a cell of emf 4 V and negligible internal resistance. The deflections produced in the tangent galvanometers A and B are 30° and 60° respectively. If A has 2 turns, then B must have

  • 18 turns

  • 12 turns

  • 6 turns

  • 2 turns


113.

A charged particle is moving in a magnetic field of  strength B perpendicular to the direction of the field. If q and m denote the charge and mass of the particle respectively, then the frequency of rotation of the particle is

  • f = qB2πm

  • f = qB2πm2

  • f = 2π2mqB

  • f = 2πmqB


114.

The magnetic field at the centre of a circular current carrying conductor of radius r is Bc. The magnetic field on its axis at a distance r from the centre is Ba. The value of Bc : Ba wil be

  • 1 : 2

  • 1 : 22

  • 22 : 1

  • 2 : 1


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115.

Current I is flowing in conductor shaped as shown in the figure. The radius of the curved partis r and the length of straight portion is very large. The value of the magnetic field at the centre O will be

          

  • μ0I4πr 3π2 + 1

  • μ0I4πr 3π2 - 1

  • μ0I4πr π2 + 1

  • μ0I4πr π2 - 1


116.

Two tangent galvanometers A and B are identical except in their number of turns. They are connected in series. On passing a current through them, deflections of 60° and 30° are produced. The ratio of the number of turns in A and B is

  • 1 : 3

  • 3 : 1

  • 1 : 2

  • 2 : 1


117.

A certain current on passing through a galvanometer produces a deflection of 100 divisions. When a shunt of one ohm is connected, the deflection reduces to 1 division. The galvanometer resistance is

  • 100 Ω

  • 99 Ω

  • 10 Ω

  • 9.9 Ω


118.

A direct current I flows along the length of an infinitely long straight thin walled pipe, then the magnetic field is

  • uniform throughout the pipe but not zero

  • zero only along the axis of the pipe

  • zero at any point inside the pipe

  • maximum at the centre and minimum at the edge


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119.

A galvanometer of resistance 240 Ω allows only 4% of the main current after connecting a shunt resistance. The value of the shunt resistance is

  • 10 Ω

  • 20 Ω

  • 8 Ω

  • 5 Ω


120.

A coil of n number of turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively. When a current of strength is passed through the coil, the magnetic field at its centre is

  • μ0nIb - a loge ab

  • μ0nI2b - a

  • 2 μ0nIb

  • μ0nI2b - a loge ba


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