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the linear charge density of a thin meta...

the linear charge density of a thin metallic rod varies with the distance `x` from the end as `lambda=lambda_(0)x^(2)(0 le x lel)` The total charge on the rod is

A

`(lambda_(0)l^(3))/(3)`

B

`(lambda_(0)l^(3))/(4)`

C

`(2lambda_(0)l^(3))/(3)`

D

`(lambda_(0)l^(3))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

`dQ=lambda(dx)=lambda_(0)x^(2)(dx)`
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