Questions
Object distance, and image distance then focal length is
detailed solution
Correct option is C
Focal length is given by 1f=1v+1u or f=uvu+v=(50.1)(20.1)(50.1)+(20.1)=14.3 cmAlso, Δff=±(Δuu+Δvv+Δu+Δvu+v)=±(0.550.1+0.220.1+0.5+0.250.1+20.1)=±[0.00998+0.00995+0.00997]=±[0.0299]∴ Δf=0.0299×14.3=0.428=0.4 cm∴f=(14.3±0.4)cmIn power If Z=An, then ΔZZ=nΔAAIn more general form if Z=AxByCq, then the maximum fractional error in Z isΔZZ=xΔAA+yΔBB+qΔCC(Note that there is no negative sign)Talk to our academic expert!
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The density of a cube is measured by measuring its mass and length of its sides. If the maximum errors in the measurement of mass and length are 3% and 2% respectively, then the maximum error in the measurement of density is
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