1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The truth table given in fig. represents :
A B Y
0 0 0
0 1 1
1 0 1
1 1 1
A
AND - Gate
B
OR - Gate
C
NAND - Gate
D
NOR - Gate
2
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0oC. If the temperature of the wire is increased and the corresponding change in its time period is plotted against its temperature, the resulting graph is a line of slope S. If the coefficient of linear expansion of metal is $$\alpha $$ then the value of S is :
A
$$\alpha $$
B
$${\alpha \over 2}$$
C
2$$\alpha $$
D
$${1 \over \alpha }$$
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values R and 3 R, respectively. The upper end of the wire is fixed to a rigid support and a mass M is suspended from its lower end. The equilibrium extended length, of this wire, would equal :
A
L $$\left( {1 + {2 \over 9}{{Mg} \over {\pi Y{R^2}}}} \right)$$
B
L $$\left( {1 + {1 \over 3}{{Mg} \over {\pi Y{R^2}}}} \right)$$
C
L $$\left( {1 + {1 \over 9}{{Mg} \over {\pi Y{R^2}}}} \right)$$
D
L $$\left( {1 + {2 \over 3}{{Mg} \over {\pi Y{R^2}}}} \right)$$
4
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
To find the focal length of a convex mirror, a student records the following data :

Object
Pin
Convex
Lens
Convex
Mirror
Image
Pin
22.2 cm 32.2 cm 45.8 cm 71.2 cm


The focal length of the convex lens is f1 and that of mirror is f2. Then taking index correction to be negligibly small, f1 and f2 are close to :
A
f1 = 12.7 cm    f2 = 7.8 cm
B
f1 = 7.8 cm    f2 = 12.7 cm
C
f1 = 7.8 cm    f2 = 25.4 cm
D
f1 = 15.6 cm    f2 = 25.4 cm
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