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Center of Mass question

2008 · Shift 0 · Q78

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JEE Main
Physics
Center of Mass
2008 · Shift 0 · Q78

Center of Mass question

2008 · Shift 0 · Q78

JEE MainPhysicsCenter of MassMCQ+4 / −1

A thin rod of length

'L'

is lying along the

x

-axis with its ends at

x=0

and

x=L

. Its linear density (mass/length) varies with

x

as

k{\left( {{x \over L}} \right)^n},

where

n

can be zero or any positive number. If the position

{X_{CM}}

of the center of mass of the rod is plotted against

'n',

which of the following graphs best approximates the dependence of

{X_{CM}}

on

n

?

A
B
C
D

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