1
JEE Advanced 2018 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2
A uniform capillary tube of inner radius $$r$$ is dipped vertically into a beaker filled with water. The water rises to a height $$h$$ in the capillary tube above the water surface in the beaker. The surface tension of water is $$\sigma .$$ The angle of contact between water and the wall of the capillary tube is $$\theta .$$ Ignore the mass of water in the meniscus. Which of the following statements is (are) true?
A
For a given material of the capillary tube, $$h$$ decreases with increase in $$r$$
B
For a given material of the capillary tube, $$h$$ is independent of $$\sigma $$
C
If this experiment is performed in a lift going up with a constant acceleration, then $$h$$ decreases
D
$$h$$ is proportional to contact angle $$\theta $$
2
JEE Advanced 2018 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
Two infinitely long straight wires lie in the $$xy$$-plane along the lines $$x = \pm R.$$ The wire located at $$x = + R$$ carries a constant current $${I_1}$$ and the wire located at $$x=-R$$ carries a constant current $${I_2}.$$ A circular loop of radius $$R$$ is suspended with its center at $$\left( {0,0,\sqrt 3 R} \right)$$ and in a plane parallel to the $$xy$$-plane. This loop carries a constant current $$I$$ in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the $$ + \widehat j$$ direction. which of the following statements regarding the magnetic field $$\overrightarrow B $$ is (are) true?
A
If $${I_1} = {I_2},$$ then $$\overrightarrow B $$ cannot be equal to zero at the origin $$(0,0,0)$$
B
If $${I_1} > 0$$ and $${I_2} < 0,$$ then $$\overrightarrow B $$ can be equal to zero at the origin $$(0,0,0)$$
C
If $${I_1} < 0$$ and $${I_2} > 0,$$ then $$\overrightarrow B $$ can be equal to zero at the origin $$(0,0,0)$$
D
If $${I_1} = {I_2},$$ then the $$z$$-component of the magnetic field at the center of the loop is $$\left( { - {{{\mu _0}I} \over {2R}}} \right)$$
3
JEE Advanced 2018 Paper 1 Offline
Numerical
+3
-0
Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed $$1.0\,m{s^{ - 1}}$$ and the man behind walks at a speed $$2.0\,m{s^{ - 1}}.$$ A third man in standing at a height $$12$$ $$m$$ above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency $$1430$$ $$Hz$$. The speed of sound in air is $$330\,m{s^{ - 1}}.$$ At the instant, when the moving men are $$10$$ $$m$$ apart, the stationary man is equidistant from them. The frequency of beats in $$Hz,$$ heard by the stationary man at this instant, is _____________.
Your input ____
4
JEE Advanced 2018 Paper 1 Offline
Numerical
+3
-0
A ring and disc are initially at rest, side by side, at the top of an inclined plane which makes an angle $${60^ \circ }$$ with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the time difference between their reaching the ground is $$\left( {2 - \sqrt 3 } \right)/\sqrt {10} \,\,s,$$ then the height of the top of the inclined plane, in metres is ______________ . Take $$g = 10\,\,m{s^{ - 2}}.$$
Your input ____
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