Download App

Model Paper 2 — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETModel Paper 24 Marks
MCQ
In the given figure, what will be the coefficient of mutual inductance?
Image
  • A
    $\frac{\mu_0 a}{2 \pi} \ln \left(1+\frac{a}{2 b}\right)$
  • B
    $\frac{\mu_0 a }{\pi} \ln \left(1+\frac{ b }{2 a }\right)$
  • ✓
    $\frac{\mu_0 a}{2 \pi} \ln \left(1+\frac{a}{b}\right)$
  • D
    $\frac{\mu_0 a}{2 \pi} \ln \left(1+\frac{b}{a}\right)$
✓

Answer

Correct option: C.
$\frac{\mu_0 a}{2 \pi} \ln \left(1+\frac{a}{b}\right)$
(C) $\frac{\mu_0 a}{2 \pi} \ln \left(1+\frac{a}{b}\right)$
Magnetic field due to wire,
$
\begin{array}{l}
\qquad B=\frac{\mu_0}{2 \pi x} \cdot i \\
d A=a d x \\
\text { and } \quad d \phi=B \cdot d A \\
\int d \phi=\int B d A \\
\phi=\frac{\mu_0 i}{2 \pi} \int_b^{a+b} \frac{a \cdot d x}{x} \\
\phi=\frac{\mu_0 i}{2 \pi} a \ln [x]_b^{a+b}=\frac{\mu_0 i}{2 \pi} a[\ln (a+b)-\ln b] \\
=\frac{\mu_0 i}{2 \pi} a\left[\ln \left(1+\frac{a}{b}\right)\right]=M i
\end{array}
$
where, $M =$ coefficient of mutual inductance.
$
M=\frac{\mu_0 a}{2 \pi} \ln \left(1+\frac{a}{b}\right)
$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "SECTION - A [PHYSICS - MCQ]" from Model Paper 2→Model Paper 2 — all question types→NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

In a vibration magnetometer, the time period of a bar magnet oscillating in horizontal component of earth's magnetic field is $2$ $sec$. When a magnet is brought near and parallel to it, the time period reduces to $1 $ $sec$. The ratio $H/F $ of the horizontal component $H$  and the field $F$ due to magnet will be
→
Which of the following most closely depicts the correct variation of the gravitational potential $V(r)$ due to a large planet of radius $R$ and uniform mass density ? (figures are not drawn to scale)
→
For a specific wavelength $670 \; nm$ of light coming from a galaxy moving with velocity $v$, the observed wavelength is $670.7 \; nm$. The value of $v$ is ............
→
The diameter of a wire is measured with a screw gauge having least count $0.01\;mm$. Which of the following correctly expresses the diameter?
→
In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at an instant of time equal to its mean life is
→
The mass of a lift is $2000\, kg.$ When the tension in the supporting cable is $28000 \,N,$ then its acceleration is 
→
A parallel plate capacitor has plate of length $'l',$ width $'w'$ and separation of plates is $'d'.$ It is connected to a battery of emf $V$. A dielectric slab of the same thickness '$d$' and of dielectric constant $k =4$ is being inserted between the plates of the capacitor. At what length of the slab inside plates, will be energy stored in the capacitor be two times the initial energy stored$?$
→
The expression for the torque acting on a coil having area of cross-section $A$, number of turns $n$, placed in a magnetic field of strength $B$, making an angle $\theta $ with the normal to the plane of the coil, when a current $i$ is flowing in it, will be
→
A point object is placed at a distance of $25\, cm$ from a convex lens of focal length $20\, cm$. If a glass slab of thickness $'t'$ and refractive index $1.5$ is inserted between the lens and object, then image is formed at infinity. The thickness is....$cm$
→
The displacement $y$ of a wave travelling in the x-direction is given by $y = {10^{ - 4}}\sin \,\,\left( {600t - 2x + \frac{\pi }{3}} \right)$ metres, where $x$ is expressed in metres and $t$ in seconds. The speed of the wave-motion, in ..... $ms^{-1}$, is
→