Qstnid -44- In An Experiment, The Percentage Of Error Occurred In The Measurement Of Physical Quantities A, B, C And D Are 1%, 2%, 3% And 4% Respectively. Then The Maximum Percentage Of Error In The Measurement X, Where X =``\Frac {A^2b^{\frac12}}{c^{\frac12}d^3}`` Will Be - P1 Year:2019 - Neet-xii-physics

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NEET-XII-Physics

P1 year:2019

with Solutions - page 4

Qstn# 44 Prvs-Qstn Next-Qstn

#44
In an experiment, the percentage of error
occurred in the measurement of physical
quantities A, B, C and D are 1%, 2%, 3% and 4%
respectively. Then the maximum percentage of
error in the measurement X,
where X =``\frac {A^2B^{\frac12}}{C^{\frac12}D^3}`` will be
(1) (``\frac{3}{13}``)%
(2) 16%
(3) - 10%
(4) 10%
digAnsr: 2
Ans : ( 2 )
Sol. Given
=
1
2 2
1
33
A B
x
C D
% error,
▵ ▵ ▵ =  + x A 1 B100 2 100
x A 2 B
▵ ▵+  + 1 c D100 100 3 100
3 c D
=  +  +  + 1 12 1% 2% 3% 3 4%
2 3
= + + +2% 1% 1% 12%
= 16%