1
JEE Main 2018 (Online) 15th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
$$\mathop {\lim }\limits_{x \to 0} {{x\tan 2x - 2x\tan x} \over {{{\left( {1 - \cos 2x} \right)}^2}}}$$ equals :
A
$${1 \over 4}$$
B
1
C
$${1 \over 2}$$
D
$$-$$ $${1 \over 2}$$
2
JEE Main 2018 (Online) 15th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A copper rod of cross-sectional area A carries a uniform current I through it. At temperature T, if the volume charge density of the rod is $$\rho $$, how long will the changes take to travel a distance d ?
A
$${{2\rho \,d\,A} \over {\rm I}}$$
B
$${{2\rho \,d\,A} \over {{\rm I}\,T}}$$
C
$${{\rho \,d\,A} \over {{\rm I}\,}}$$
D
$${{\rho \,d\,A} \over {{\rm I}\,T}}$$
3
JEE Main 2018 (Online) 15th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A plane polarized monochromatic EM wave is traveling in vacuum along z direction such that at t = t1 it is found that the electric field is zero at a spatial point z1. The next zero that occurs in its neighbourhood is at z2. The frequency of the electroagnetic wave is :
A
$${{3 \times {{10}^8}} \over {\left| {{z_2} - {z_1}} \right|}}$$
B
$${{1.5 \times {{10}^8}} \over {\left| {{z_2} - {z_1}} \right|}}$$
C
$${{6 \times {{10}^8}} \over {\left| {{z_2} - {z_1}} \right|}}$$
D
$${1 \over {{t_1} + {{\left| {{z_2} - {z_1}} \right|} \over {3 \times {{10}^8}}}}}$$
4
JEE Main 2018 (Online) 15th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
At the center of a fixed large circular coil of radius R, a much smaller circular coil of radius r is placed. The two coils are concentric and are in the same plane. The larger coil carries a current I. The smaller coil is set to rotate with a constant angular velocity $$\omega $$ about an axis along their common diameter. Calculate the emf induced in their smaller coil after a time t of its start of rotation.
A
$${{{\mu _o}{\rm I}} \over {2\,R}}$$ $$\omega $$ $$\pi $$ r2 sin$$\omega $$ t
B
$${{{\mu _o}{\rm I}} \over {4\,R}}$$ $$\omega $$ $$\pi $$ r2 sin$$\omega $$ t
C
$${{{\mu _o}{\rm I}} \over {4\,R}}$$ $$\omega $$ r2 sin$$\omega $$ t
D
$${{{\mu _o}{\rm I}} \over {2\,R}}$$ $$\omega $$ r2 sin$$\omega $$ t
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