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This question contains Statement -1 and ...

This question contains Statement -1 and Stantement -2 Of the four choices given after the statements, choose the one that best desctibes the two statemesnts.
Statement -1:
For a mass M kept at the center of a cube of side 'a', the flux of gravitational field passing through its sides `4piGM.`
Statement -2:
If the direction of a field due to a point source is radial and its dependence on the distance 'r' from the source is given as `(1)/(r^2)`, its flux throught a closed surface depends only on the strength of the source enclosed by the surfcae and not on the size or shape of the surface.

A

If both assertion and reason are correct and reason is a correct explanation of the assertion.

B

If both assertion and reason are correct but reason is not the correct explanation of assertion.

C

If assertion is correct but reason is incorrect.

D

If assertion is incorrect but reason is correct.

Text Solution

Verified by Experts

The correct Answer is:
A

gravitational field intensity
`E = (GM)/(R^(2))`
flux `= oint vec(E).dvec(s) = oint(GM)/(R^(2))ds cos 0^(@)`
`= (GM)/(R^(2)) oint ds`
`= (GM)/(R^(2)) xx 4pi R^(2)`
`= 4pi GM`
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