1
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75o. One of the fields has a magnitude of 15 mT. The dipole attains stable equilibrium at an angle of 30o with this field. The magnitude of the other field (in mT ) is close to
A
11
B
36
C
1
D
1060
2
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
A 50 $$\Omega$$ resistance is connected to a battery of 5 V. A galvanometer of resistance 100 $$\Omega$$ is to be used as an ammeter to measure current through the resistance, for this a resistance rs is connected to the galvanometer. Which of the following connections should be employed if the measured current is within 1% of thecurrent without the ammeter in the circuit ?
A
rs = 0.5 $$\Omega$$ in parallel with the galvanometer
B
rs = 0.5 $$\Omega$$ in series with the galvanometer
C
rs = 1 $$\Omega$$ in series with galvanometer
D
rs =1 $$\Omega$$ in parallel with galvanometer
3
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
To know the resistance G of a galvanometer by half deflection method, a battery of emf VE and resistance R is used to deflect the galvanometer by angle $$\theta$$. If a shunt of resistance S is needed to get half deflection then G, R and S are related by the equation :
A
2S (R + G) = RG
B
S (R + G) = RG
C
2S = G
D
2G = S
4
JEE Main 2016 (Offline)
+4
-1
Two identical wires $$A$$ and $$B,$$ each of length $$'l'$$, carry the same current $$I$$. Wire $$A$$ is bent into a circle of radius $$R$$ and wire $$B$$ is bent to form a square of side $$'a'$$. If $${B_A}$$ and $${B_B}$$ are the values of magnetic fields at the centres of the circle and square respectively, then the ratio $${{{B_A}} \over {{B_B}}}$$ is:
A
$${{{\pi ^2}} \over {16}}$$
B
$${{{\pi ^2}} \over {8\sqrt 2 }}$$
C
$${{{\pi ^2}} \over {8}}$$
D
$${{{\pi ^2}} \over {16\sqrt 2 }}$$
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