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question_answer1)
A toroid of n turns, mean radius R and cross- sectional radius a carries current I. It is placed on a horizontal table taken as x-y plane. Its magnetic moment m
A)
is non-zero and points in the z-direction by symmetry. done
clear
B)
points along the axis of the toroid \[(m={{m}_{\phi }})\] done
clear
C)
is zero, otherwise there would be a field falling as \[\frac{1}{{{r}^{3}}}\] at large distances outside the toroid. done
clear
D)
is pointing radially outwards. done
clear
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question_answer2)
Consider the two idealized systems: (i) a parallel plate capacitor with large plates and small separation and (ii) a long solenoid of length L, R, radius of cross-section. In (i), E is ideally treated as a constant between plates and zero outside, In (ii), magnetic field is constant inside the solenoid and zero outside. These idealized assumptions, however, contradict fundamental laws as below :
A)
Case (i) contradicts Gauss's law for electrostatic fields. done
clear
B)
Case (ii) contradicts Gauss's law for magnetic fields. done
clear
C)
Case (i) agrees with \[\oint{_{s}E.dl=0}\] done
clear
D)
Case (ii) contradicts \[\oint{H.dl={{I}_{en}}}\] done
clear
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question_answer3)
A rod of length L, along east-west direction is dropped from a height H. If B be the magnetic field due to Earth at that place and angle of dip is 6, then the magnitude of the induced e.m.f. across two ends of the rod when the rod reachs the Earth is
A)
BLH cos\[\theta \] done
clear
B)
\[BL\text{ }cos\theta \times {{(2gH)}^{1/2}}\] done
clear
C)
\[BL\text{ }cos\theta /{{(2gH)}^{1/2}}\] done
clear
D)
None of the above done
clear
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question_answer4)
A coil of N turns and radius R carries a current I. It is unwound and rewound to make a square coil of side a having same number of turns (N). Keeping the current I same, the ratio of the magnetic moments of the circular coil and the square coil is
A)
\[\pi \frac{{{\operatorname{R}}^{2}}}{{{a}^{2}}}\] done
clear
B)
\[\pi \frac{{{a}^{2}}}{{{\operatorname{R}}^{2}}}\] done
clear
C)
\[\frac{{{a}^{2}}}{{{\operatorname{R}}^{2}}}\] done
clear
D)
None of the above done
clear
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question_answer5)
A magnetic dipole moment is a vector quantity directed from:
A)
South to North done
clear
B)
North to South done
clear
C)
East to West done
clear
D)
West to East done
clear
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question_answer6)
Time period of oscillation of a magnetic needle is
A)
\[\operatorname{T}=\sqrt{\frac{I}{MB}}\] done
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B)
\[\operatorname{T}=2\pi \sqrt{\frac{\operatorname{I}}{MB}}\] done
clear
C)
\[\operatorname{T}=2\pi \sqrt{\frac{MB}{\operatorname{I}}}\] done
clear
D)
\[\operatorname{T}=\pi \sqrt{\frac{MB}{\operatorname{I}}}\] done
clear
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question_answer7)
A magnetic needle is kept in a non-uniform magnetic field experiences
A)
a force as well as a torque done
clear
B)
a torque but not a force done
clear
C)
a force and a torque done
clear
D)
a force but not a torque done
clear
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question_answer8)
The magnetic field of Earth can be modelled by that of a point dipole placed at the centre of the Earth. The dipole axis makes an angle of \[{{11.3}^{\operatorname{o}}}\] with the axis of Earth. At Mumbai, declination is nearly zero. Then,
A)
the declination varies between \[{{11.3}^{\operatorname{o}}}\] W to \[{{11.3}^{\operatorname{o}}}\] E. done
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B)
the least declination is \[{{0}^{\operatorname{o}}}\]. done
clear
C)
the plane defined by dipole axis and Earth axis passes through Greenwich. done
clear
D)
declination averaged over Earth must be always negative. done
clear
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question_answer9)
Let the magnetic field on Earth be modelled by that of a point magnetic dipole at the centre of Earth. The angle of dip at a point on the geographical Equator
A)
is always zero. done
clear
B)
is always positive done
clear
C)
is always negative done
clear
D)
can be positive or negative or zero. done
clear
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question_answer10)
Relative permeability of a magnetic material is 0.5. The material is
A)
diamagnetic. done
clear
B)
ferromagnetic. done
clear
C)
paramagnetic. done
clear
D)
not a magnetic material. done
clear
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question_answer11)
Which of the following relation is correct?
A)
\[\operatorname{B}={{B}_{v}}\times {{B}_{H}}\] done
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B)
\[\operatorname{B}={{B}_{v}}/{{B}_{H}}\] done
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C)
\[\operatorname{B}={{B}_{v}}+{{B}_{H}}\] done
clear
D)
\[\operatorname{B}=\sqrt{\operatorname{B}_{\operatorname{V}}^{2}+B_{H}^{2}}\] done
clear
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question_answer12)
Ratio of total intensity of magnetic field at equator to poles is
A)
1:1 done
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B)
1:2 done
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C)
2:1 done
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D)
None of the above done
clear
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question_answer13)
Which of the following is most suitable for the core of an electromagnet?
A)
Soft iron done
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B)
Steel done
clear
C)
Alnico done
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D)
Copper done
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question_answer14)
A ferromagnetic substance is heated above its curie temperature. Which of the following statements is correct?
A)
Ferromagnetic domains get perfectly arranged. done
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B)
Ferromagnetic domains get randomly arranged. done
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C)
Ferromagnetic domains are not at all influenced. done
clear
D)
Ferromagnetic material transforms into diamagnetic substance. done
clear
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