The period of oscillation of a simple pendulum is given by where l is about 100 cm and is known to have 1 mm accuracy. The period is about 2s. The time of 100 oscillations is measured by a stopwatch of least count 0.1 s. The percentage error in g is:
1. 0.1%
2. 1%
3. 0.2%
4. 0.8%
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. \(1\%\)
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%
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
A body travels uniformly a distance of (13.8 0.2) m in a time (4.0 ± 0.3) sec. The velocity of the body within error limits is:
1. (3.45 ± 0.2) ms-1
2. (3.45 ± 0.3) ms-1
3. (3.45 ± 0.4) ms-1
4. (3.45 ± 0.5) ms-1
The unit of percentage error is
(1) Same as that of physical quantity
(2) Different from that of physical quantity
(3) Percentage error is unit less
(4) Errors have got their own units which are different from that of physical quantity measured
Accuracy of measurement is determined by
(1) Absolute error
(2) Percentage error
(3) Both
(4) None of these
A thin copper wire of length l metre increases in length by 2% when heated through 10ºC. What is the percentage increase in area when a square copper sheet of length l metre is heated through 10ºC
(1) 4%
(2) 8%
(3) 16%
(4) None of the above
A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation a = . If the maximum errors in the measurement of b, c, d and e are b1%, c1%, d1% and e1%, then the maximum error in the value of a determined by the experiment is
(1) ()%
(2) ()%
(3) ()%
(4) ()%
The resistance R = where V= 100 ± 5 volts and i = 10 ± 0.2 amperes. What is the total error in R
(1) 5%
(2) 7%
(3) 5.2%
(4) %