In an experiment, the following observations were recorded: initial length L = 2.820 m, mass M = 3.00 kg, change in length l = 0.087 cm, diameter D = 0.041 cm. Taking g = 9.81 m/s2 and using the formula, Y = 4MgLπD2l, the maximum permissible error in Y will be:

1. 7.96%

2. 4.56%

3. 6.50%

4. 8.42%

Subtopic:  Errors |
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According to Joule's law of heating, heat produced H = I2Rt, where I is current, R is resistance and t is time. If the errors in the measurement of I, R and t are 3%, 4% and 6% respectively then error in the measurement of H is

(1) ± 17%

(2) ± 16%

(3) ± 19%

(4) ± 25%

Subtopic:  Errors |
 89%
From NCERT
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If there is a positive error of 50% in the measurement of the velocity of a body, then the error in the measurement of kinetic energy is:

(1) 25%

(2) 50%

(3) 100%

(4) 125%

Subtopic:  Errors |
From NCERT
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A physical quantity P is given by P = A3B12C4D32. The quantity which contributes the maximum percentage error in P is:
1. A
2. B
3. C
4. D

Subtopic:  Errors |
 67%
From NCERT
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If L = 2.331 cm, B = 2.1 cm, then L + B =?

1. 4.431 cm

2. 4.43 cm

3. 4.4 cm

4. 4 cm

Subtopic:  Significant Figures |
 78%
From NCERT
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If the length of rod A is 3.25 ± 0.01 cm and that of B is 4.19 ± 0.01 cm then the rod B is longer than rod A by 

(1) 0.94 ± 0.00 cm

(2) 0.94 ± 0.01 cm

(3) 0.94 ± 0.02 cm

(4) 0.94 ± 0.005 cm

Subtopic:  Errors |
 76%
From NCERT
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A physical quantity is given by X=MaLbTc. The percentage error in measurement of M, L and T are α,β and γ respectively. Then maximum percentage error in the quantity X is

1. aα+bβ+cγ

2. aα+bβcγ

3. aα+bβ+cγ

4. None of these

Subtopic:  Errors |
 85%
From NCERT
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A physical quantity \(A\) is related to four observable quantities \(a\), \(b\), \(c\) and \(d\) as follows, \(A= \frac{a^2b^3}{c\sqrt{d}},\) the percentage errors of measurement in \(a\), \(b\), \(c\) and \(d\) are \(1\%\), \(3\%\), \(2\%\) and \(2\%\) respectively. The percentage error in quantity \(A\) will be: 
1. \(12\%\)
2. \(7\%\)
3. \(5\%\)
4. \(14\%\)

Subtopic:  Errors |
 85%
From NCERT
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If the acceleration due to gravity is 10 ms–2 and the units of length and time are changed in kilometer and hour respectively, the numerical value of the acceleration is 

(1) 360000

(2) 72,000

(3) 36,000

(4) 129600

Subtopic:  Dimensions |
 61%
From NCERT
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If L, C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency? [This question includes concepts from the 12th syllabus]

(1) 1RC

(2) RL

(3) 1LC

(4) CL

Subtopic:  Dimensions |
 60%
From NCERT
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