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dimention of length (l) - [M⁰L¹T⁰]
dimention of
acceleration due
gravity (g) - [M⁰L¹T⁻²]
now, dimention of,
=[M⁰L¹T⁰] ([M⁰L¹T⁰]/[M⁰L¹T⁻²])½
=[M⁰L¹T⁰] [M⁰L½T⁰]/[M⁰L½T⁻¹]
=[M⁰L¹⁺½T⁰]/ [M⁰L½T⁻¹]
=[M⁰L^3/2T⁰] [M⁰L⁻½T¹]
=[M⁰L¹T¹]
Hence the dimension is [M⁰L¹T¹]
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