1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the function

f(x) = $$\left\{ {\matrix{ { - x} & {x < 1} \cr {a + {{\cos }^{ - 1}}\left( {x + b} \right),} & {1 \le x \le 2} \cr } } \right.$$

is differentiable at x = 1, then $${a \over b}$$ is equal to :
A
$${{\pi - 2} \over 2}$$
B
$${{ - \pi - 2} \over 2}$$
C
$${{\pi + 2} \over 2}$$
D
$$ - 1 - {\cos ^{ - 1}}\left( 2 \right)$$
2
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
$${1 \over 2}$$
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Microwave oven acts on the principle of :
A
transferring electrons from lower to higher energy levels in water molecule
B
giving rotational energy to water molecules
C
giving vibrational energy to water molecules
D
giving translational energy to water molecules
4
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
JEE Main 2016 (Online) 9th April Morning Slot Physics - Properties of Matter Question 244 English
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
$$x = r{\left( {{H \over {H + h}}} \right)^{{2}}}$$
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