A physical quantity P is described by the relation P = a 1 2   b 2   c 3 d - 4 . If the relative errors in the measurement of a , b , c and d respectively, are 2 % , 1 % , 3 % and 5 % . Then the relative error in P will be:

Question

A physical quantity P is described by the relation P = a 1 2 &#160; b 2 &#160; c 3 d - 4 . If the relative errors in the measurement of a , b , c and d respectively, are 2 % , 1 % , 3 % and 5 % . Then the relative error in P will be:

Aicharya · Accepted Answer

P = a 1 2 &#160; b 2 c 3 d - 4 &#8710; p p m a x = 1 2 &#160; &#8710; a a + 2 &#8710; b b + 3 &#8710; c c + 4 &#8710; d d 100 &#215; &#8710; P P = 1 2 &#160; &#8710; a a + 2 &#8710; b b + 3 &#8710; c c + 4 &#8710; d d &#215; 100 % &#160;error&#160;in &#160; P = 1 2 &#215; 2 + 2 &#215; 1 + 3 &#160; &#215; 3 + 4 &#160; &#215; 5 = 32 %

A physical quantity P is described by the relation P = a 1 2   b 2   c 3 d - 4 . If the relative…

Solution

A physical quantity P is described by the relation P = a 1 2 &#160; b 2 &#160; c 3 d - 4 . If the relative…

Solution

A physical quantity P is described by the relation P = a 1 2 b 2 c 3 d - 4 . If the relative…