1
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passes through it. If the torsional constant of suspension wire is $$4.0\times10^{-5}\mathrm{N~m~rad^{-1}}$$, the magnetic field is 0.01T and the number of turns in the coil is 200, the area of each turn (in cm$$^2$$) is :

A
1.5
B
2.0
C
0.5
D
1.0
2
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1

Match List I with List II

List I
(Current configuration)
List II
(Magnitude of Magnetic Field at point O)
A. I. $${B_0} = {{{\mu _0}I} \over {4\pi r}}[\pi + 2]$$
B. II. $${B_0} = {{{\mu _0}} \over {4 }}{I \over r}$$
C. III. $${B_0} = {{{\mu _0}I} \over {2\pi r}}[\pi - 1]$$
D. IV. $${B_0} = {{{\mu _0}I} \over {4\pi r}}[\pi + 1]$$

Choose the correct answer from the options given below :

A
A-III, B-IV, C-I, D-II
B
A-II, B-I, C-IV, D-III
C
A-III, B-I, C-IV, D-II
D
A-I, B-III, C-IV, D-II
3
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1

A long solenoid is formed by winding 70 turns cm$$^{-1}$$. If 2.0 A current flows, then the magnetic field produced inside the solenoid is ____________ ($$\mu_0=4\pi\times10^{-7}$$ TmA$$^{-1}$$)

A
$$88\times10^{-4}$$ T
B
$$1232\times10^{-4}$$ T
C
$$176\times10^{-4}$$ T
D
$$352\times10^{-4}$$ T
4
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1

Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5 cm distance. Magnitude of magnetic force experienced by 10 cm length of wire P is F$$_1$$. If distance between wires is halved and currents on them are doubled, force F$$_2$$ on 10 cm length of wire P will be:

A
$$\frac{F_1}{8}$$
B
10 F$$_1$$
C
$$\frac{F_1}{10}$$
D
8 F$$_1$$
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