The numbers \(2.745\) and \(2.735\) on rounding off to \(3\) significant figures will give respectively, 

1. \(2.75\) and \(2.74\) 2. \(2.74\) and \(2.73\)
3. \(2.75\) and \(2.73\) 4. \(2.74\) and \(2.74\)

Subtopic:  Significant Figures |
 68%
From NCERT
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Young's modulus of steel is \(1.9 \times 10^{11} \mathrm{~N} / \mathrm{m}^2\). When expressed in CGS units of \(\mathrm{dyne/cm^2}\), it will be equal to: \((1 \mathrm{~N}=10^5 \text { dyne, } 1 \mathrm{~m}^2=10^4 \mathrm{~cm}^2)\)
1. \( 1.9 \times 10^{10} \)
2. \( 1.9 \times 10^{11} \)
3. \( 1.9 \times 10^{12} \)
4. \( 1.9 \times 10^9\)

Subtopic:  Dimensions |
 73%
From NCERT
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If momentum (\(\mathrm{p}\)), area (\(\mathrm{A}\)), and time (\(\mathrm{T}\)) are taken to be fundamental quantities, then energy has the dimensional formula:
1. \( {\left[\mathrm{pA}^{-1} \mathrm{~T}^1\right]} \)
2. \( {\left[\mathrm{p}^2 \mathrm{AT}\right]} \)
3. \( {\left[\mathrm{pA}^{-1 / 2} \mathrm{~T}\right]} \)
4. \( {\left[\mathrm{pA}^{1 / 2} \mathrm{~T}^{-1}\right]}\)
 
Subtopic:  Dimensions |
 75%
From NCERT
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On the basis of dimensions, decide which of the following relations for the displacement of a particle undergoing simple harmonic motion is/are not correct.
a. \(y = a\sin \left(2\pi t / T\right)\)
b. \(y = a\sin(vt)\)
c. \(y = \left({a \over T}\right) \sin \left({t \over a}\right)\)
d. \(y = a \sqrt 2 \left(\sin \left({2 \pi t \over T}\right) - \cos \left({2 \pi t \over T}\right)\right)\)
(Symbols have their usual meanings.)
Choose the correct option:
1. (a), (c)
2. (a), (b)
3. (b), (c)
4. (a), (d)

Subtopic:  Dimensions |
 63%
From NCERT
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The mass and volume of a body are \(4.237~\mathrm{g}\) and \(2.5~\mathrm{cm^3}\), respectively. The density of the material of the body in correct significant figures will be:
1. \(1.6048~\mathrm{g~cm^{-3}}\)
2. \(1.69~\mathrm{g~cm^{-3}}\)
3. \(1.7~\mathrm{g~cm^{-3}}\)
4. \(1.695~\mathrm{g~cm^{-3}}\)

Subtopic:  Significant Figures |
 84%
From NCERT
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The sum of the numbers \(436.32,227.2,\) and \(0.301\) in the appropriate significant figures is:

1. \( 663.821 \) 2. \( 664 \)
3. \( 663.8 \) 4. \(663.82\)
Subtopic:  Significant Figures |
 66%
From NCERT
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The angle of \(1'\) (minute of an arc) in radian is nearly equal to:
1. \(2.91 \times 10^{-4} ~\mathrm{rad} \)
2. \(4.85 \times 10^{-4} ~\mathrm{rad} \)
3. \(4.80 \times 10^{-6} ~\mathrm{rad} \)
4. \(1.75 \times 10^{-2} ~\mathrm{rad}\)

Subtopic:  Measurement & Measuring Devices |
 53%
From NCERT
NEET - 2020
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The angle of \(1^\circ\) (degree) will be equal to:
(Use \(360^\circ=2\pi\) rad
)
1. \(1.034\times10^{-3}\) rad
2. \(1.745\times10^{-2}\) rad
3. \(1.524\times10^{-2}\) rad
4. \(1.745\times10^{3}\) rad

Subtopic:  Measurement & Measuring Devices |
 73%
From NCERT
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Each side of a cube is measured to be \(7.203\) \(\mathrm{m}.\) What are the total surface area and the volume respectively of the cube to appropriate significant figures?

1. \(373.7~\mathrm{m^2}\) and \(311.3~\mathrm{m^3}\)
2. \(311.3~\mathrm{m^2}\) and \(373.7~\mathrm{m^3}\)
3. \(311.2992~\mathrm{m^2}\) and \(373.7147~\mathrm{m^3}\)
4. \(373.7147~\mathrm{m^2}\) and \(311.2992~\mathrm{m^3}\)
Subtopic:  Significant Figures |
 78%
From NCERT
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Taking into account the significant figures, what is the value of \((9.99~\text{m}-0.0099~\text{m})\)?

1. \(9.98\) m 2. \(9.980\) m
3. \(9.9\) m 4. \(9.9801\) m
Subtopic:  Significant Figures |
 70%
From NCERT
NEET - 2020
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