November 28, 2023

# XI-Unit & Measurement :: Error Calculation -Practice Paper – 04

01:- In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where  X = ( A2 B1/2)/( C1/3 D3)  , will be :
(1) (3/13) %
(2) 16%
(3) –10%
(4) 10%
02:- In an experiment four quantities a, b, c and d are measured with percentage errors 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows P = ( a3 b2)/( cd )  , percentage error in P is :-
(1) 4%
(2) 14%
(3) 10%
(4) 7%
03:- If the error in the measurement of radius of a sphere is 2% then the error in the determination of volume of the sphere will be :-
(1) 8%
(2) 2%
(3) 4%
(4) 6%
04:- A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is :-
(1) e1 + 2e2
(2) e1 + e2
(3) e1 – 2e2
(4) e2 – e1
05:- The density of a material in CGS system of units is 4 g/cm3. In a system of units in which unit of length is 10 cm and unit of mass is 100g, the value of density of material will be :-
(1) 0.04
(2) 0.4
(3) 40
(4) 400
06:- The heat generated in a circuit is dependent upon the resistance, current and time for which the current is flown. If the error in measuring the above are as 1%,2% and 1% the maximum error in measuring heat will be
(1) 2%
(2) 3%
(3) 6%
(4) 1%
07:- The potential difference across a resistor in a circuit is dependent upon the resistance and the current flowing through it . If the error in measuring the above are as 2% and 4% the maximum error in measuring potential difference will be
(1) 2%
(2) 3%
(3) 6%
(4) 1%
08:- The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively 4% and 2%, the maximum error in the measurement of pressure is –
(1) 1%
(2) 2%
(3) 6%
(4) 8%
09:- An experiment measures quantities a, b and c, and X is calculated from X = ab2/c3. If the percentage error in a, b and c are ±1%, ±3% and ±2% respectively, the percentage error in X will be –
(1) ±13%
(2) ±7%
(3) ±4%
(4) ±1%
10:- Percentage error in the measurement of resistivity , the lrngth of the conductor and its radius is 1%, 3 % and 2% respectively. Then the percentage error in the measurement of the resistance of the conductor is
(1) 6%
(2) 9%
(3) 8%
(4) 10% #### Tridib

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