1
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
The quantities x = $${1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}$$, y = $${E \over B}$$ and z = $${l \over {CR}}$$ are
defined where C-capacitance, R-Resistance, l-length, E-Electric field, B-magnetic field and $${{\varepsilon _0}}$$, $${{\mu _0}}$$, - free space permittivity and permeability respectively. Then :
A
Only y and z have the same dimension
B
x, y and z have the same dimension
C
Only x and y have the same dimension
D
Only x and z have the same dimension
2
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
An iron rod of volume 10–3 m3 and relative permeability 1000 is placed as core in a solenoid with 10 turns/cm. If a current of 0.5 A is passed through the solenoid, then the magnetic moment of the rod will be :
A
5 $$\times$$ 102 Am2
B
0.5 $$\times$$ 102 Am2
C
500 $$\times$$ 102 Am2
D
50 $$\times$$ 102 Am2
3
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of 6 mA it produces a deflection of 2o, its figure of merit is close to :
A
6 $$\times$$ 10–3 A/div
B
666o A/div
C
3 $$\times$$ 10–3 A/div
D
333o A/div
4
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
An infinitely long, straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding connector are located in the same plane, as shown, in the figure. The connector has length $$l$$ and resistance R. It slides to the right with a velocity v. The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation r, between the connector and the straight wire is :
A
$${{{\mu _0}} \over {4\pi }}{{Ivl} \over {Rr}}$$
B
$${{{\mu _0}} \over {\pi }}{{Ivl} \over {Rr}}$$
C
$${{{\mu _0}} \over {2\pi }}{{Ivl} \over {Rr}}$$
D
$${{2{\mu _0}} \over \pi }{{Ivl} \over {Rr}}$$
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