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For a planet, the graph of T^(2) against...

For a planet, the graph of `T^(2)` against `r^(3)` is plotted. The slope of the graph is

A

`4pi GM`

B

`(4pi^(2))/(GM)`

C

`(GM)/(4pi^(2))`

D

`(GM)/(4pi)`

Text Solution

Verified by Experts

The correct Answer is:
B
The graph of `T^(2)` against `r^(3)` is a straightline.
`because T^(2)=(4pi^(2)r^(3))/(GM) therefore (T^(2))/(r^(3))=" Slope " = (4 pi^(2))/(GM)`
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Knowledge Check

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