A screw gauge has the least count of \(0.01~\text{mm}\) and there are \(50\) divisions in its circular scale. The pitch of the screw gauge is:

1. \(0.25~\text{mm}\) 2. \(0.5~\text{mm}\)
3. \(1.0~\text{mm}\) 4. \(0.01~\text{mm}\)

Subtopic:  Measurement & Measuring Devices |
 85%
Level 1: 80%+
NEET - 2020
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Taking into account the significant figures, what is the value of \((9.99~\text{m}-0.0099~\text{m})\)?
1. \(9.98~\text{m}\)
2. \(9.980~\text{m}\)
3. \(9.9~\text{m}\)
4. \(9.9801~\text{m}\)
Subtopic:  Significant Figures |
 71%
Level 2: 60%+
NEET - 2020
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The energy required to break one bond in DNA is \(10^{-20}~\text{J}\). This value in eV is nearly: 
1. \(0.6\)
2. \(0.06\)
3. \(0.006\)
4. \(6\)

Subtopic:  Dimensions |
 72%
Level 2: 60%+
NEET - 2020
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Dimensions of stress are:

1. \( {\left[{ML}^2 {T}^{-2}\right]} \) 2. \( {\left[{ML}^0 {T}^{-2}\right]} \)
3. \( {\left[{ML}^{-1} {T}^{-2}\right]} \) 4. \( {\left[{MLT}^{-2}\right]}\)
Subtopic:  Dimensions |
 81%
Level 1: 80%+
NEET - 2020
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The dimensions of pressure are the same as that of

(1) Energy

(2) Energy per unit area

(3) Force per unit area

(4) Force per unit volume

Subtopic:  Dimensions |
 79%
Level 2: 60%+
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Time intervals measured by a clock give the following readings: \(1.25\) s, \(1.24\) s, \(1.27\) s, \(1.21\) s, and \(1.28\) s. What is the percentage relative error of the observations?
1. \(2\)%
2. \(4\)%
3. \(16\)%
4. \(1.6\)%

Subtopic:  Errors |
 56%
Level 3: 35%-60%
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A calorie is a unit of heat (energy in transit) and it equals about \(4.2~\text{J}\) where \(1~\text{J}= 1~\text{kg-m}^2\text{s}^{-2}\)Suppose we employ a system of units in which the unit of mass equals \(\alpha~\text{kg}\) the unit of length equals \(\beta~\text{m}\), and the unit of time is \(\gamma~\text{s}\) then the magnitude of calories in terms of new units is:
1. \(4.2\alpha^{-2}\beta^{-2}\gamma^{2}\)
2. \(4.2\alpha^{2}\beta^{-2}\gamma^{2}\)
3. \(4.2\alpha^{-1}\beta^{-2}\gamma^{2}\)
4. 
\(4.2\alpha^{-1}\beta^{2}\gamma^{-2}\)

Subtopic:  Dimensions |
 66%
Level 2: 60%+
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Which of the following is the most precise device for measuring length?

1. a vernier calliper with \(20\) divisions on the sliding scale.
2. a screw gauge of pitch \(1\) mm and \(100\) divisions on the circular scale.
3. an optical instrument that can measure the length within a wavelength of light.
4. both (1) and (2)

Subtopic:  Measurement & Measuring Devices |
Level 3: 35%-60%
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The number of significant figures in \(0.0006032~\text m^2\) is:

1. \(4 \) 2. \(5\)
3. \(7\) 4. \(3\)
Subtopic:  Significant Figures |
 83%
Level 1: 80%+
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A physical quantity \(P\) is related to four observables \(a,\) \(b,\) \(c,\) and \(d\) as follows; \(P=\dfrac{a^{3}b^{2}}{\sqrt{c}d}.\)
The percentage errors of measurement in \(a,\) \(b,\) \(c,\) and \(d\) are \(1\%,\) \(3\%,\) \(4\%\) and \(2\%,\) respectively. Then the percentage error in the quantity \(P\) is:

1. \(12\%\) 2. \(13\%\)
3. \(14\%\) 4. \(15\%\)
Subtopic:  Errors |
 76%
Level 2: 60%+
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