Two particles A and B of masses mA and mB respectively and having the same type of charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are vA and vB respectively, and the trajectories are as shown in the figure. Then

                                

(1) mAvA<mBvB                              

(2) mAvA>mBvB

(3) mA<mB and vA<vB                  

(4) mA=mB and vA=vB

Subtopic:  Lorentz Force |
 82%
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Magnetic field due to a ring having n turns at a distance x on its axis is proportional to (if r = radius of ring) :

(1)  r(x2+r2)                                     

(2)  r2(x2+r2)3/2

(3)  nr2(x2+r2)3/2                                 

(4)  n2r2(x2+r2)3/2 

Subtopic:  Magnetic Field due to various cases |
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A and B are two concentric circular conductors of centre O and carrying currents i1  and i2 as shown in the adjacent figure. If ratio of their radii is 1 : 2 and ratio of the flux densities at O due to A and B is 1 : 3, then the value of i1/i2 is

 

(a)  16                       (b)  14                                

 (c)  13                       (d)  12                                                                                                          

Subtopic:  Magnetic Field due to various cases |
 78%
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PQRS is a square loop made of uniform conducting wire the current enters the loop at P and leaves at S. Then the magnetic field will be

 

(a) Maximum at the centre of the loop
(b) Zero at the centre of the loop
(c) Zero at all points inside the loop
(d) Zero at all points outside of the loop

Subtopic:  Magnetic Field due to various cases |
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An electric current passes through a long straight wire. At a distance 5 cm from the wire, the magnetic field is B. The field at 20 cm from the wire would be :

(1) B6                   

(2) B4

(3) B3                     

(4) B2 

 

Subtopic:  Magnetic Field due to various cases |
 94%
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 The dimension of the magnetic field intensity B is:

1.  MLT-2A-1                   

2.  MT-2A-1

3.  ML2TA-2                       

4.  M2LT-2A-1

Subtopic:  Lorentz Force |
 75%
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If a wire in the form of a square with a side \(a\) carries a current \(i\), then the magnetic induction at the centre of the square wire will be:
(Magnetic permeability of free space = \(\mu_0)\)
1. \(\dfrac{\mu _{0}i}{2\pi a}\) 2. \(\dfrac{\mu _{0}i\sqrt2}{\pi a}\)
3. \(\dfrac{2\sqrt2\mu _{0}i}{\pi a}\) 4. \(\dfrac{\mu _{0}i}{\sqrt2\pi a}\)


 

Subtopic:  Magnetic Field due to various cases |
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A beam of ions with velocity 2×105 m/s enters normally into a uniform magnetic field of 4×10-2tesla. If the specific charge of the ion is 5×107 C/kg , then the radius of the circular path described will be :

(a) 0.10 m              (b)  0.16 m

(c)  0.20 m              (d) 0.25 m

Subtopic:  Lorentz Force |
 86%
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If the direction of the initial velocity of the charged particle is perpendicular to the magnetic field, then the orbit will be
                                                                      or
The path executed by a charged particle whose motion is perpendicular to magnetic field is :

(1) A straight line                               

(2) An ellipse

(3) A circle                                         

(4) A helix

 

Subtopic:  Lorentz Force |
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A proton and an \(\alpha\text-\)particle enter a uniform magnetic field perpendicularly at the same speed. If a proton takes \(25~\mu\text{s}\) to make \(5\) revolutions, then the periodic time for the \(\alpha\text-\)particle will be:
1. \(50~\mu\text{s}\)
2. \(25~\mu\text{s}\)
3. \(10~\mu\text{s}\)
4. \(5~\mu\text{s}\)

Subtopic:  Lorentz Force |
 58%
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