1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
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
$${1 \over \alpha }$$
2
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
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
B
C
D
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1

Consider a water jar of radius R that has water filled up to height H and is kept on astand of height h (see figure). Through a hole of radius r (r << R) at its bottom, the water leaks out and the stream of water coming down towards the ground has a shape like a funnel as shown in the figure. If the radius of the cross-section of water stream when it hits the ground is x. Then :
A
$$x = r\left( {{H \over {H + h}}} \right)$$
B
$$x = r{\left( {{H \over {H + h}}} \right)^{{1 \over 2}}}$$
C
$$x = r{\left( {{H \over {H + h}}} \right)^{{1 \over 4}}}$$
D
$$x = r{\left( {{H \over {H + h}}} \right)^{{2}}}$$
4
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
An open glass tube is immersed in mercury in such a way that a length of $$8$$ $$cm$$ extends above the mercury level. The open end of the tube is then closed and scaled and the tube is raised vertically up by additional $$46$$ $$cm$$. What will be length of the air column above mercury in the tube now? (Atmospheric pressure $$=76$$ $$cm$$ of $$Hg$$)
A
$$16$$ $$cm$$
B
$$22$$ $$cm$$
C
$$38$$ $$cm$$
D
$$6$$ $$cm$$
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