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%

Concept Questions :-

Errors
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Difficulty Level:

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%

Concept Questions :-

Errors
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Difficulty Level:

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

Concept Questions :-

Errors
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Difficulty Level:

What is the number of significant figures in 0.310×103

(1) 2

(2) 3

(3) 4

(4) 6

Concept Questions :-

Significant Figures
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Difficulty Level:

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%

Concept Questions :-

Errors
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Difficulty Level:

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

Concept Questions :-

Errors
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Difficulty Level:

A body travels uniformly a distance of (13.8 $±$ 0.2) m in a time (4.0 ± 0.3) s. 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

Concept Questions :-

Errors
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Difficulty Level:

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

Concept Questions :-

Errors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The decimal equivalent of 1/20 upto three significant figures is

(1) 0.0500

(2) 0.05000

(3) 0.0050

(4) 5.0 × 10-2

Concept Questions :-

Significant Figures
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Difficulty Level:

Accuracy of measurement is determined by

(1) Absolute error

(2) Percentage error

(3) Both

(4) None of these

Concept Questions :-

Significant Figures