1
JEE Main 2018 (Online) 15th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius $${R \over 2},$$ and the other mass, in a circular orbit of radius $${3R \over 2}$$. The difference between the final and initial total energies is :
A
$$ - {{GMm} \over {2R}}$$
B
$$ + {{GMm} \over {6R}}$$
C
$${{GMm} \over {2R}}$$
D
$$ - {{GMm} \over {6R}}$$
2
JEE Main 2018 (Online) 15th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A given object takes n times more time to slide down a $${45^ \circ }$$ rough inclined plane as it takes to slide down a perfectly smooth $${45^ \circ }$$ incline. The coefficient of kinetic friction between the object and the incline is :
A
$${1 \over {2 - {n^2}}}$$
B
$$1 - {1 \over {{n^2}}}$$
C
$$\sqrt {1 - {1 \over {{n^2}}}} $$
D
$$\sqrt {{1 \over {1 - {n^2}}}} $$
3
JEE Main 2018 (Online) 15th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
An automobile, travelling at $$40\,$$ km/h, can be stopped at a distance of $$40\,$$ m by applying brakes. If the same automobile is travelling at $$80\,$$ km/h, the minimum stopping distance, in metres, is (assume no skidding) :
A
$$45\,$$ m
B
$$100\,$$ m
C
$$150\,$$ m
D
$$160\,$$ m
4
JEE Main 2018 (Online) 15th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The relative error in the determination of the surface area of sphere is $$\alpha $$. Then the relative error in the determination of its volume is :
A
$${3 \over 2}\alpha $$
B
$${2 \over 3}\alpha $$
C
$${5 \over 2}\alpha $$
D
$$\alpha $$
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