Questions in Units and Measurements

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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
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
The random error in the arithmetic mean of 100 observations is x; then random error in the arithmetic mean of 400 observations would be
What is the number of significant figures in $0.310 \times 10^3$
Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volume is
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
A body travels uniformly a distance of ($13.8 \pm 0.2$) m in a time ($4.0 \pm 0.3$) s. The velocity of the body within error limits is
A body travels uniformly a distance of ($13.8 \pm 0.2$) m in a time ($4.0 \pm 0.3$) s. The percentage error in the velocity is
The unit of percentage error is
The decimal equivalent of 1/20 upto three significant figures is

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