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A physical quantity X depends on four measurables a, b, c, and d as X = a2b3c5d. To ensure maximum accuracy in the determination of X, the quantity that should be measured with maximum accuracy is :
 
1.  a
 
2.  b
 
3.  c
 
4.  d
Subtopic:  Dimensions | Errors |
 79%
Level 2: 60%+

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In an experiment four quantities a, b, c and d are measured with percentage error 1%,2%,3% and 4% respectively. Quantity P is calculated as follows P=a3b2/cd %, Error in P is

1. 14%

2. 10%

3. 7%

4. 4%

Subtopic:  Errors |
 92%
Level 1: 80%+
NEET - 2013

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A physical quantity \(Q \) depends on other physical quantities \(a, b\) and \(c\) as \(Q=\frac{a^4 b^3}{c^2}.\) If the maximum percentage error in measurement of \(a. b\) and \(c\) are \(3\%, 4\%\) and \(5\%\) respectively, then the maximum percentage error in measurement of \(Q\) is:
1. \(34\%\)
2. \(40\%\)
3. \(32\%\)
4. \(45\%\)
Subtopic:  Errors |
 91%
Level 1: 80%+
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While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of time period. His percentage error in the measurement of g by the relation g=4π2(l/T2) will be

1. 2%

2. 4%

3. 7%

4. 10%

Subtopic:  Errors |
 91%
Level 1: 80%+

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In an experiment, four quantities \(a,\) \(b,\) \(c\) and \(d\) are measured with percentage error \(1\)%, \(2\)%, \(3\)% and \(4\)% respectively. Quantity \(P\) is calculated as follows: 
\(P=\dfrac{a^3b^2}{cd}\)
Percentage error in \(P\) is:
1. \(10\%\)
2. \(7\%\)
3. \(4\%\)
4. \(14\%\)
Subtopic:  Errors |
 89%
Level 1: 80%+
AIPMT - 2013

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Pressure on a circular plate is obtained by measuring the force and the radius of the plate. If the error in measuring force and radius is \(1\%\) and \(0.5\%\) respectively, then the error in pressure is:
1. \(1\%\)
2. \(2\%\)
3. \(6\%\)
4. \(8\%\)
Subtopic:  Errors |
 88%
Level 1: 80%+
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If the error in the measurement of mass is \(0.8\%\) and in volume it is \(0.4 \%,\) then the error in the measurement of density is:
1. \(1.2 \%\)
2. \(0.4 \%\)
3. \(0.8\%\)
4. \(1 \%\)
Subtopic:  Errors |
 88%
Level 1: 80%+
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Two resistances, \(R_1=(60\pm6)~\Omega\) and \(R_2=(40\pm2)~\Omega\) are connected in series. The equivalent resistance will be:
1. \(100\pm12~\Omega\)
2. \(100\pm10~\Omega\)
3. \(100\pm8~\Omega\)
4. \(100\pm4~\Omega\)
Subtopic:  Errors |
 88%
Level 1: 80%+
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The resistance \({R}=\frac{V}{I},\) where \({V}=(50\pm2)~\text{V}\) and \({I}=(20\pm0.2)~\text{A}.\) The percentage error in the resistance \(R\) is:
1. \(5\%\)
2. \(3\%\)
3. \(7\%\)
4. \(2\%\)
 
Subtopic:  Errors |
 88%
Level 1: 80%+
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While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of time period. His percentage error in the measurement of g by the relation g=4π2(l/T2) will be

(1) 2%

(2) 4%

(3) 7%

(4) 10%

Subtopic:  Errors |
 88%
Level 1: 80%+

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