IN AN EXPERIMENT, THE PERCENTAGE ERROR OCCURRED IN THE MEASUREMENT OF A PHYSICAL QUANTITIES ‘A’, ‘B’, ‘C’ & ‘D’ ARE 1%, 2%, 3% & 4 % RESPECTIVELY THEN THE MAXIMUM PERCENTAGE OF ERROR IN THE MEASUREMENT OF ‘X’,

 WHERE,

\[X= \frac{A^{2}B^{\frac{1}{2}}}{C^{\frac{1}{3}D^{3}}}\]

UNIT OF THERMAL CONDUCTIVITY IS [NEET 2019]

a. J m k^-1  

b. J m^-1 k^-1

c. W m k^-1

d. W m^-1 k^-1

Solution :

As,

[ % error in X ] = [2 * % error in A]+ [1/2 *% error in B]+ [1/3 *% error in C]+[3 * % error in D]

[ % error in X ] = [2 * 1 % ] + [1/2 * 2% ]+ [1/3 * 3 % ] + [3 * 4 % ]

[ % error in X ] = [ 2 % ] + [ 1% ]+ [ 1% ] + [ 12 % ]

Therefore % error in ‘X’ is

[ % error in X ] = 16%

i.e. option ‘B’ is correct

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Milan Tomic

Hi. I’m Designer of Blog Magic. I’m CEO/Founder of ThemeXpose. I’m Creative Art Director, Web Designer, UI/UX Designer, Interaction Designer, Industrial Designer, Web Developer, Business Enthusiast, StartUp Enthusiast, Speaker, Writer and Photographer. Inspired to make things looks better.

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