TS EAMCET · Physics · Magnetic Effects of Current
A charged particle \((\) charge \(=q\); mass \(=m)\) is rotating in a circle of radius \(R\) with uniform speed \(V\). Ratio of its magnetic moment \((\mu)\) to the angular momentum \((L)\) is
- A \(\frac{q}{2 m}\)
- B \(\frac{q}{m}\)
- C \(\frac{q}{4 m}\)
- D \(\frac{2 q}{m}\)
Answer & Solution
Correct Answer
(A) \(\frac{q}{2 m}\)
Step-by-step Solution
Detailed explanation
The magnetic moment of charge, \(\mu=\) niA and angular momentum of charge, Here, \( \begin{aligned} L & =m \cdot v \cdot R \\ n & =1 \\ Current, i & =\frac{q}{T} \end{aligned} \) Time-period, \(\quad T=\frac{2 \pi R}{V}\) Equivalent current,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A force acts on a \(30 \mathrm{~g}\) particle in such a way that the position of the particle as a function of time is given by \(x=\alpha t^2\), where \(x\) is in metre, \(t\) is in seconds and \(\alpha=1 \mathrm{~m} / \mathrm{s}^2\). The work done during the first \(4 \mathrm{~s}\) isTS EAMCET 2020 Easy
- The amplitude of a damped oscillator varies with time as \(\mathrm{A}(\mathrm{t})=\mathrm{A}_{\mathrm{o}} \exp (-\mathrm{bt} / 2 \mathrm{~m})\) where \(\mathrm{b}=70 \mathrm{~g} / \mathrm{s}\) and \(\mathrm{m}=200 \mathrm{~g}\). How long does it take for the mechanical energy to drop to one - fourth of its initial value? \([\) Take \(\ln 2=0.7]\)TS EAMCET 2022 Medium
- A solid sphere is rolling without slipping on a semi-circular track of radius \(10 \mathrm{~m}\) as shown in the figure. The radius of solid sphere is much smaller than the radius of semi-circular track. At the lowest point, it has a velocity \(10 \mathrm{~m} / \mathrm{s}\). To what maximum angle \(\theta\) from the vertical will the sphere travel before it comes back down? Neglect the rolling friction between the sphere and the track. (Take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )
TS EAMCET 2018 Medium - Starting from rest, the time taken by a body sliding down on a rough inclined plane at \(45^{\circ}\) with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction isTS EAMCET 2008 Hard
- A thin magnetic needle is placed in a magnetic field of 200 G with its axis at 30° to the direction of the field. Find the magnetic moment of the needle if it experiences a torque of 0.012 Nm in this field.TS EAMCET 2022 Easy
- In the Young's double slit experiment, the resultant intensity at a point on the screen is \(75 \%\) of the maximum intensity of the bright fringe. Then the phase difference between the two interfering rays at that point isTS EAMCET 2011 Easy
More PYQs from TS EAMCET
- If a nucleus P converts into a nucleus Q by the decay of one alpha particle and two \(\beta^{-}\) particles, then the nuclei \(P\) and \(Q\) areTS EAMCET 2025 Easy
- A rain drop of diameter 1 mm falls with a terminal velocity of \(0.7 \mathrm{~ms}^{-1}\) in air. If the coefficient of viscosity of air is \(2 \times 10^{-5} \mathrm{Pas}\), the viscous force on the rain drop isTS EAMCET 2025 Medium
- The wavelength of a spectral line emitted by hydrogen atom in the Balmer series is \(\frac{16}{3 R}\) ( \(R\) is Rydberg constant). What is the value of the principal quantum number of the state from which the transition takes place?TS EAMCET 2020 Easy
- A body of weight \(50 \mathrm{~N}\) is placed on a horizontal surface as shown in the figure. The minimum force required to move the body is \(28.28 \mathrm{~N}\). The frictional force and the normal reaction are respectively.
TS EAMCET 2023 Easy - A primary coil and secondary coil are placed close to each other. A current, which changes at the rate of \(25 \mathrm{~A}\) in a millisecond, is present in the primary coil. If the mutual inductance is \(92 \times 10^{-6} \mathrm{H}\), then the value of induced emf in the secondary coil isTS EAMCET 2012 Easy
- A voltmeter of \(250 \mathrm{mV}\) range having a resistance of \(10 \Omega\) is converted into an ammeter of \(250 \mathrm{~mA}\) range. The value of necessary shunt is (nearly)TS EAMCET 2015 Easy