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What is the fractional error in g calcul...

What is the fractional error in g calculated from `T = 2 pi sqrt((l)/(g))` ? Given that fractional error in `T` and `l` are `pm x` and `pm y` respectively.

A

`x+y`

B

`x-y`

C

`2x+y`

D

`2x-y`

Text Solution

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The correct Answer is:
C
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MOTION-UNITS AND DIMENSIONS, BASIC MATHEMATICS -Exercise - 1 (Objective Problems) (SECTION - D :- ERRORS )
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  2. An experiment measures quantities a, b and c and X is calculated from ...

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  3. Zero error of an instrument introduces

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  4. What is the fractional error in g calculated from T = 2 pi sqrt((l)/(g...

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  5. A thin copper wire of length l metre increases in length by 2% when he...

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  6. The period of oscillation of a simple pendulum in the experiment is re...

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  7. The resistance R = V//i, where V = 100 +- 5 V and I = 10+- 0.2 A. What...

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  8. The length, breadth and thickness of a strip are given by l = (10.0 +-...

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  9. If error in measuring diameter of a circle is 4 %, the error in circum...

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  10. The external and internal diameters of a hollow cylinder are measured ...

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  11. Percentage error in measuring the radius and mass of a solid sphere a...

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  12. In a vernier callipers, N divisions of vernier scale coincide with (N-...

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  13. The length of a cylinder is measured with a meter rod having least cou...

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  14. A vernier callipers has 20 divisions on the vernier scale which coinci...

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  15. The heat generated in a cirucit is dependent upon the resstance, curre...

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  16. The percentage errors in the measurement of mass and speed are 2% and ...

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  17. One centimetre on the main scale of vernier callipers is divided into ...

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  18. While measuring acceleration due to gravity by simpe pendulum a studen...

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  19. A student measured the diameter of a wire using a screw gauge with lea...

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