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A thin insulating rod of mass m and length L is hinged at its upper end (O) so that it can freely rotate in vertical plane. The linear charge density on the rod varies with distance (y) measured from upper end asλ=⎧⎪⎪⎨⎪⎪⎩ay2for 0≤y≤L2−bynfor L2≤y≤L Where a and b both are positive constants. when a horizontal electric field E is switched on the rod is found to remain stationary. Find the value of ab. (Give integer value)

Answer» A thin insulating rod of mass m and length L is hinged at its upper end (O) so that it can freely rotate in vertical plane. The linear charge density on the rod varies with distance (y) measured from upper end as

λ=

ay2for 0yL2bynfor L2yL
Where a and b both are positive constants. when a horizontal electric field E is switched on the rod is found to remain stationary. Find the value of ab. (Give integer value)










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