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Asked in JEE Main 30th Jan 2nd Shift 2024 · Expressing a quantity in new base units
Given: c=[LT⁻¹], G=[M⁻¹L³T⁻²], h=[ML²T⁻¹].
G^-1/2=[M^1/2L^-3/2T] and h^1/2=[M^1/2LT^-1/2].
Mass: 1/2+1/2=1, which already balances.
Length: 0=P-3/2+1, so P=1/2.
Time check: -P+1-1/2=0 gives P=1/2 as well, so the solution is consistent.
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