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Show that the percentage error in the nt...

Show that the percentage error in the nth root of a number is approximately `1/n` times the percentage error in the number.

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SL ARORA-Units and Measurements-Exercise
  1. If the relative error in measuring the radius of a circular plane i...

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  2. The percentage error in measurement of a physical quantity [m given by...

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  3. Show that the percentage error in the nth root of a number is approxim...

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  4. The equation of state for real gas is given by ((p + (a)/(V^(2))(V - b...

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  5. Pressure depends on distance as, P = (alpha)/(beta)exp((-alpha z)/(k t...

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  6. The dimensions of 1/2 epsilon(0)E^(2) (epsilon(0)= permittivity of fre...

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  7. (a) In the formula X=3YZ^(2), X and Z have dimensions of capcitnce and...

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  8. a quantity X is given by epsilon(0)L(DeltaV)/(Deltat) where in(0) is ...

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  9. Which of the following sets have different dimensions ?

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  10. A cube has a side of length 1.2xx10^(-2)m. Calculate its volume

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  11. A student performs an experiment an for determination of g(=(4pi^(2)l)...

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  12. A student performs an experiment to determine the Young's modulus of a...

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  13. A wire has a mass 0.3+-0.003g, radius 0.5+-0.005mm and length 6+-0.06c...

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  14. A vernier calipers has 1mm marks on the main scale. It has 20 equal di...

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  15. The diameter of a cylinder is measured using a Vernier callipers with...

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  16. In a screw gauge, the zero of mainscale coincides with fifth division ...

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  17. The density of a solid ball is to be determined in an experiment. The ...

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  18. In the determination of Young's modulus (Y = (4MLg)/(pi// d^2) ) by us...

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  19. There are two Vernier calipers both of which have 1cm divided into 10 ...

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  20. A person measures the depth of a well by measuring the time interval b...

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