(C) For a short bar magnet in $\tan A$ position,the magnetic field $B$ is given by $B = \frac{\mu_0}{4\pi} \frac{2M}{d^3}$.In a deflection galvanomete

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$\tan^{-1}\left(\frac{\sqrt{3}}{8}\right)$

(C) For a short bar magnet in $\tan A$ position,the magnetic field $B$ is given by $B = \frac{\mu_0}{4\pi} \frac{2M}{d^3}$.In a deflection galvanometer,$B = H \tan \theta$,where $H$ is the horizontal component of Earth's magnetic field.Thus,$\frac{\mu_0}{4\pi} \frac{2M}{d^3} = H \tan \theta$ ..... $(i)$When the distance is doubled $(d' = 2d)$,the new deflection $\theta'$ is given by:$\frac{\mu_0}{4\pi} \frac{2M}{(2d)^3} = H \tan \theta'$ ..... $(ii)$Dividing equation $(ii)$ by $(i)$:$\frac{\tan \theta'}{\tan \theta} = \frac{1}{2^3} = \frac{1}{8}$$\tan \theta' = \frac{\tan 60^\circ}{8} = \frac{\sqrt{3}}{8}$$\theta' = \tan^{-1}\left(\frac{\sqrt{3}}{8}\right)$

Class 12 Physics Magnetism and Matter Magnetic Equipment's (Tangent galvanometer, Vibration magnetometer and Neutral point)

Medium

The needle of a deflection galvanometer shows a deflection of $60^\circ$ due to a short bar magnet at a certain distance in $\tan A$ position. If the distance is doubled,the deflection is

A
$\sin^{-1}\left(\frac{\sqrt{3}}{8}\right)$
B
$\cos^{-1}\left(\frac{\sqrt{3}}{8}\right)$
C
$\tan^{-1}\left(\frac{\sqrt{3}}{8}\right)$
D
$\cot^{-1}\left(\frac{\sqrt{3}}{8}\right)$

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Class 12 Questions

Class 12

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Magnetism and Matter

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Magnetic Equipment's (Tangent galvanometer, Vibration magnetometer and Neutral point)

$A$ bar magnet of $10 \,cm$ length is kept with its north $(N)$-pole pointing north. $A$ neutral point is formed at a distance of $15 \,cm$ from each pole. Given the horizontal component of Earth's magnetic field is $0.4 \,Gauss$, the pole strength of the magnet is: (in $\,A-m$)

MediumTS EAMCET 2009

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Two tangent galvanometers,which are identical except in their number of turns,are connected in parallel. The ratio of their resistances of the coils is $1 : 3$. If the deflections in the two tangent galvanometers are $30^{\circ}$ and $60^{\circ}$ respectively,then the ratio of their number of turns is

DifficultKCET 2013

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Two bar magnets of the same mass,length,and breadth,but with magnetic moments $M$ and $2M$ respectively,have a time period of $3 \, s$ when placed in the same position (sum position). What will be the time period when they are placed in the different position (difference position)?

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The ratio of magnetic moments of two bar magnets is $13 : 5$. These magnets are held together in a vibration magnetometer and are allowed to oscillate in the Earth's magnetic field. When like poles are together,$15$ oscillations per minute are made. What will be the frequency of oscillation of the system if unlike poles are together? (in $oscillations/min$)

Difficult

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When $2 \ A$ current is passed through a tangent galvanometer,it gives a deflection of $30^\circ$. For $60^\circ$ deflection,the current must be........$A$.

Medium

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The needle of a deflection galvanometer shows a deflection of $60^\circ$ due to a short bar magnet at a certain distance in $\tan A$ position. If the distance is doubled,the deflection is

Similar Questions

$A$ bar magnet of $10 \,cm$ length is kept with its north $(N)$-pole pointing north. $A$ neutral point is formed at a distance of $15 \,cm$ from each pole. Given the horizontal component of Earth's magnetic field is $0.4 \,Gauss$, the pole strength of the magnet is: (in $\,A-m$)

Two bar magnets of the same mass,length,and breadth,but with magnetic moments $M$ and $2M$ respectively,have a time period of $3 \, s$ when placed in the same position (sum position). What will be the time period when they are placed in the different position (difference position)?

When $2 \ A$ current is passed through a tangent galvanometer,it gives a deflection of $30^\circ$. For $60^\circ$ deflection,the current must be........$A$.

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