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#5 | Error Analysis : Propagation of Error (Division) & Example
(Physics) > Units and Measurement
Related Practice Questions :

The period of oscillation of a simple pendulum is given by $T=2\pi \sqrt{\frac{l}{g}}$ where l is about 100 cm and is known to have 1mm accuracy. The period is about 2s. The time of 100 oscillations is measured by a stop watch of least count 0.1 s. The percentage error in g is

(1) 0.1%

(2) 1%

(3) 0.2%

(4) 0.8%

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The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed

(1) 11%

(2) 8%

(3) 5%

(4) 1%

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The random error in the arithmetic mean of 100 observations is x; then random error in the arithmetic mean of 400 observations would be

(1) 4x

(2) $\frac{1}{4}x$

(3) 2x

(4) $\frac{1}{2}x$

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Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volume is

(1) 1%

(2) 3%

(3) 5%

(4) 7%

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The mean time period of second's pendulum is 2.00s and mean absolute error in the time period is 0.05s. To express maximum estimate of error, the time period should be written as

(1) (2.00 ± 0.01) s

(2) (2.00 + 0.025) s

(3) (2.00 ± 0.05) s

(4) (2.00 ± 0.10) s