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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Magnetic Properties of Matter

NTA Abhyas 2020 · Physics · Magnetic Properties of Matter

Two bar magnets A and B are placed one over the other and are...

Two bar magnets AA and BB are placed one over the other and are allowed to Vibrate in a vibration magnetometer. They make 2020 oscillations per minute when the similar poles of AA and BB are on the same side, while they make 1515 oscillations per minute when their opposite poles lie on the same side. If MA{M}_{A} and {M}_{B}_{}are the magnetic moments of AandandBandifand if{M}_{A}> {M}_{B},theratioof, the ratio of{M}_{A}andand{M}_{B} and is\text{ and } is

Options

  1. A4:34: 3
  2. B25:725: 7
  3. C7:57: 5
  4. D25:1625: 16

Correct answer

B. 25:725: 7

Step-by-step solution

Ratio of magnetic moments of two magnets of equal size when in same and different position is
&
MAMB=Td2+Ts2Td2−Ts2=vd2+vs2vd2−vs2\dfrac{{M}_{A}}{{M}_{B}} = \dfrac{{T}_d^{2} + {T}_s^{2}}{{T}_d^{2} - {T}_s^{2}} = \dfrac{{v }_d^{2} + {v }_s^{2}}{{v }_d^{2} - {v }_s^{2}}

MAMB=202+152202−152\dfrac{{M}_{A}}{{M}_{B}} = \dfrac{2 {0}^{2} + 1 {5}^{2}}{2 {0}^{2} - 1 {5}^{2}}

& & & & & & =400+225400−225= \dfrac{400 + 225}{400 - 225}

MA:MB=25:7{M}_{A}: {M}_{B} = 25: 7
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