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Show that if two sets of measured quantities have mean values `m_(1)` and `m_(2)` with respective standard errors `alpha_(1)` and `alpha_(2)` the standard error of `m_(1)m_(2)"is" (m_(1)^(2)alpha_(2)^(2)+m_(2)^(2)alpha_(1)^(2))^(1//2)`.

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NN GHOSH-ERRORS AND THEIR MEASUREMENTS -EXERCISES
  1. A student makes measurements of the diameter of a wire with the help a...

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  2. Two students A and B make measurement of the focal length of the same ...

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  3. The ammeter and voltmeter connected in series and parallel with a resi...

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  4. Time of fall of a body =(10.0pm0.5) sec Acceleration due to gravity ...

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  5. The mass of a body =(100pm2%)ms^(-2) kg and the volume of the body =(1...

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  6. The measures of the length and breadth of a rectangle are (30pm3%) and...

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  7. In a simple pendulum l=(100.0pm0.5) cm and t=(2.00pm0.01) sec. What is...

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  8. The modulus of rigidity of a wire is given by the formula W(g)=(npir^(...

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  9. Show that percentage error in the measurement of m/B by a deflection m...

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  10. In a prisim mu=(sin[(A+D)//2])/(sin(A//2)). Find the formula for the p...

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  11. The voltage across a resistor is 8.0pm0.2 volt and the current through...

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  12. Calculate the volume of a sphere of radius (3.0pm0.1) cm, if the error...

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  13. A physical quantity P is related to four observables a, b, c and d as ...

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  14. The length, breadth and thickness of a sheet are 4.234m, 1.005 m and 2...

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  15. In a simple pendulum experiment the length of the pendulum is measered...

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  16. Show that if two sets of measured quantities have mean values m(1) and...

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  17. A body is moving at speed of 0.3m//s. To measure its speed with an acc...

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