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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

A magnet makes 40 oscillations per minute at a place having...

A magnet makes 4040 oscillations per minute at a place having magnetic field induction of 0.1×10–5T0.1 \times {10}^{– 5}T. At another place, it takes 2.5s2.5\text{s} to complete one vibration. The value of earth's horizontal field at that place is

Options

  1. A0.25×10−6T0.25 × {10}^{− 6}T
  2. B0.36×10–6T0.36 \times {10}^{– 6}T
  3. C0.66×10–8T0.66 \times {10}^{– 8}T
  4. D1.2×10−6T1.2 × {10}^{− 6}T

Correct answer

B. 0.36×10–6T0.36 \times {10}^{– 6}T

Step-by-step solution

T=2πIM×BH⇒T∝1BHT = 2\pi\sqrt{\dfrac{I}{M \times {B}_{H}}} ⇒ T ∝ \dfrac{1}{\sqrt{{B}_{H}}}

⇒T1T2=(BH)2(BH)1⇒60/402.5=(BH)20.1×10−5⇒ \dfrac{{T}_{1}}{{T}_{2}} = \sqrt{\dfrac{( {B}_{H}{)}_{2}}{( {B}_{H}{)}_{1}}} ⇒ \dfrac{60 / 40}{2.5} = \sqrt{\dfrac{( {B}_{H}{)}_{2}}{0.1 \times 1{0}^{- 5}}}

⇒(BH)2=0.36×10−6T⇒ ( {B}_{H}{)}_{2} = 0.36 \times 1{0}^{- 6}T
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