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Q.

A mass M is broken in two parts m and (M-m).Relation between m and M so that the force of gravitation between the two parts is maximum is :


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a

mM=2  

b

m= M 2  

c

m= M 2  

d

None of these 

answer is B.

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Detailed Solution

Concept: The formula provided by Newton, which determines the strength of this attraction force between any two objects, will be utilized to answer this question, which is just based on the gravitational force of attraction.
This force between any two bodies is given by mathematics.
Question ImageWhen the gravitational constant G is used .
Question Image The weight of a single body,
Question Image is a different body's mass.
Additionally, we know from the theory of mathematics that we must differentiate the equation in order to obtain the maximum or lowest value of any value.
As a result, this query has: M is the previous body's mass.
m - a bodily part that has broken,
Question Image - is the second body's mass.
Due to the fact that the gravitational attraction between two things is caused by
Question ImageQuestion ImageQuestion ImageWe must differentiate the aforementioned equation and then equate it to zero in order to get the maximum.
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageThus, the greatest force between them occurs when.
Question ImageHence, the correct option is 2.
 
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