1
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
A ball is thrown upward with an initial velocity V0 from the surface of the earth. The motion of the ball is affected by a drag force equal to m$$\gamma$$u2 (where m is mass of the ball, u is its instantaneous velocity and $$\gamma$$ is a constant). Time taken by the ball to rise to its zenith is :
A
$${1 \over {\sqrt {\gamma g} }}{\tan ^{ - 1}}\left( {\sqrt {{\gamma \over g}} {V_0}} \right)$$
B
$${1 \over {\sqrt {\gamma g} }}{ln}\left( 1+ {\sqrt {{\gamma \over g}} {V_0}} \right)$$
C
$${1 \over {\sqrt {\gamma g} }}{\sin ^{ - 1}}\left( {\sqrt {{\gamma \over g}} {V_0}} \right)$$
D
$${1 \over {\sqrt {2\gamma g} }}{\tan ^{ - 1}}\left( {\sqrt {{2\gamma \over g}} {V_0}} \right)$$
2
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N. The coefficient of static friction between the block and the plane is : [Take g = 10 m/s2] A
$${{\sqrt 3 } \over 4}$$
B
$${1 \over 2}$$
C
$${{\sqrt 3 } \over 2}$$
D
$${2 \over 3}$$
3
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle $$\theta$$ with each other. If the force Q is doubled, then their resultant also gets doubled. Then, the angle $$\theta$$ is -
A
90o
B
60o
C
30o
D
120o
4
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1 A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point. the rope deviated at an angle of 45o at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is (g = 10 ms$$-$$2
A
200 N
B
140 N
C
70 N
D
100 N
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