1
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
A fighter plane of length 20 m, wing span (distance from tip of one wing to the tip of the other wing) of 15 m and height 5 m is flying towards east over Delhi. Its speed is 240 ms−1. The earth’s magnetic field over Delhi is 5 $$\times$$10−5 T with the declination angle ~ 08 and dip of $$\theta$$ such that sin $$\theta$$ = 2 3 . If the voltage developed is VB between the lower and upper side of the plane and VW between the tips of the wings then VB and VW are close to :
A
VB = 45 mV; VW = 120 mV with right side of pilot at higher voltage
B
VB = 45 mV; VW = 120 mV with left side of pilot at higher voltage
C
VB = 40 mV; VW = 135 mV with right side of pilot at high voltage
D
VB = 40 mV; VW = 135 mV with left side of pilot at higher voltage
2
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed ‘v’ in a uniform magnetic field B going into the plane of the paper (See figure). If charge densities $$\sigma$$1 and $$\sigma$$2 are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects) :

A
$$\sigma$$1 = $$\in$$0 $$\upsilon$$ B, $$\sigma$$2 = $$-$$ $$\in$$0 $$\upsilon$$ B
B
$$\sigma$$1 = $${{{ \in _0}\upsilon \,B} \over 2},$$ $$\sigma$$2 = $${{ - { \in _0}\,\upsilon B} \over 2}$$
C
$$\sigma$$1 = $$\sigma$$2 = $${ \in _0}\,\upsilon B$$
D
$$\sigma$$1 = $${{ - { \in _0}\upsilon B} \over 2},$$ $$\sigma$$2 = $${{ { \in _0}\upsilon B} \over 2},$$
3
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
A galvanometer has a 50 division scale. Battery has no internal resistance. It is found that there is deflection of 40 divisions when R = 2400 $$\Omega$$. Deflection becomes 20 divisions when resistance taken from resistance box is 4900 $$\Omega$$. Then we can conclude :

A
Resistance of galvanometer is 200 $$\Omega$$
B
Full scale deflection current is 2 mA.
C
Current sensitivity of galvanometer is 20 $$\mu$$A/division.
D
Resistance required on R.B. for a deflection of 10 divisions is 9800 $$\Omega$$.
4
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
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