1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

A compass needle oscillates 20 times per minute at a place where the dip is $$45^{\circ}$$ and the magnetic field is $$B_1$$. The same needle oscillates 30 times per minute at a place where the dip is $$30^{\circ}$$ and magnetic field is $$B_2$$. Then, $$B_1: B_2$$ is

A
$$9 \sqrt{3}: 4 \sqrt{2}$$
B
$$4 \sqrt{2}: 9 \sqrt{3}$$
C
$$3 \sqrt{3}: 2 \sqrt{2}$$
D
$$2 \sqrt{2}: 3 \sqrt{3}$$
2
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

A paramagnetic sample showing a net magnetisation of $$0.8 \mathrm{~A} \mathrm{~m}^{-1}$$, when placed in an external magnetic field of strength $$0.8 \mathrm{~T}$$, at a temperature $$5 \mathrm{~K}$$. If the temperature is raised to $$20 \mathrm{~K}$$, then the magnetisation becomes

A
$$0.8 \mathrm{~A} \mathrm{~m}^{-1}$$
B
$$0.2 \mathrm{~A} \mathrm{~m}^{-1}$$
C
$$0.1 \mathrm{~A} \mathrm{~m}^{-1}$$
D
$$0.4 \mathrm{~A} \mathrm{~m}^{-1}$$
3
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

The plane of a dip circle is set in the geographic meridian and the apparent dip is $$\delta_1$$. It is then set in a vertical plane perpendicular to the geographic meridian. The apparent dip angle is $$\delta_2$$. The declination $$\theta$$ at the place is

A
$$\tan ^{-1}\left(\tan _1 \tan _2\right)$$
B
$$\tan ^{-1}\left(\tan \delta_1+\tan \delta_2\right)$$
C
$$\tan ^{-1}\left(\frac{\tan \delta_1}{\tan \delta_2}\right)$$
D
$$\tan ^{-1}\left(\tan \delta_1-\tan \delta_2\right)$$
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