1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If    $$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} - {4 \over {{x^2}}}} \right)^{2x}} = {e^3},$$ then 'a' is equal to :
A
2
B
$${3 \over 2}$$
C
$${2 \over 3}$$
D
$${1 \over 2}$$
2
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
MCQ (Single Correct Answer)
+4
-1
Change Language
Which of the following option correctly describes the variation of the speed v and acceleration ‘a’ of a point mass falling vertically in a viscous medium that applies a force F = − kv, where ‘k’ is a constant, on the body ? (Graphs are schematic and not drawn to scale)
A
JEE Main 2016 (Online) 9th April Morning Slot Physics - Properties of Matter Question 213 English Option 1
B
JEE Main 2016 (Online) 9th April Morning Slot Physics - Properties of Matter Question 213 English Option 2
C
JEE Main 2016 (Online) 9th April Morning Slot Physics - Properties of Matter Question 213 English Option 3
D
JEE Main 2016 (Online) 9th April Morning Slot Physics - Properties of Matter Question 213 English Option 4
4
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is $${1 \over 4}$$ the area of the ellipse. (See figure) With db as the semimajor axis, and ca as the semiminor axis. If t1 is the time taken for planet to go over path abc and t2 for path taken over cda then :

JEE Main 2016 (Online) 9th April Morning Slot Physics - Gravitation Question 156 English
A
t1 = t2
B
t1 = 2t2
C
t1 = 3t2
D
t1 = 4t2
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