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Q. No.The radius of a circle is stated as \(2.12\) cm. Its area should be written as:
1.
\(14\mathrm{~cm^2}\)
2.
\(14.1\mathrm{~cm^2}\)
3.
\(14.11\mathrm{~cm^2}\)
4.
\(14.1124\mathrm{~cm^2}\)
Subtopic: Significant Figures |
68%
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The length of the rod is \((12\pm0.4)~\text{m}\). A section of length \((5\pm0.2)~\text{m}\) is cut from it. What is the remaining length of the rod?
1. \((7\pm0.2)~\text{m}\)
2. \((7\pm0.8)~\text{m}\)
3. \((7\pm0.6)~\text{m}\)
4. \((7\pm0.1)~\text{m}\)
1. \((7\pm0.2)~\text{m}\)
2. \((7\pm0.8)~\text{m}\)
3. \((7\pm0.6)~\text{m}\)
4. \((7\pm0.1)~\text{m}\)
Subtopic: Errors |
78%
From NCERT
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The time taken by a pendulum to complete \(10\) oscillations is \(35.2\) seconds. What is the time period of a pendulum in seconds with appropriate significant figures?
1. \(3.52~\text s\)
2. \(3.5~\text s\)
3. \(3.520~\text s\)
4. \(3.6~\text s\)
1. \(3.52~\text s\)
2. \(3.5~\text s\)
3. \(3.520~\text s\)
4. \(3.6~\text s\)
Subtopic: Significant Figures |
From NCERT
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Suppose the kinetic energy of a body oscillating with amplitude \(A\) and at distance \(x \) is given by \(K=\dfrac{Bx}{(A^2+x^2)}\). The dimensions of \(B\) are the same as that of:
1. \(\text{Power}\)
2. \(\text{Work} \times \text{Distance}\)
3. \(\text{Force}\)
4. \(\text{Work} \times \text{Time}\)
1. \(\text{Power}\)
2. \(\text{Work} \times \text{Distance}\)
3. \(\text{Force}\)
4. \(\text{Work} \times \text{Time}\)
Subtopic: Dimensions |
76%
From NCERT
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If \(E\) and \(G\) respectively, denote energy and gravitational constant, then \(\dfrac{E}{G}\) has the dimensions of:
1. \([ML^0T^0]\)
2. \([M^2L^{-2}T^{-1}]\)
3. \([M^2L^{-1}T^{0}]\)
4. \([ML^{-1}T^{-1}]\)
1. \([ML^0T^0]\)
2. \([M^2L^{-2}T^{-1}]\)
3. \([M^2L^{-1}T^{0}]\)
4. \([ML^{-1}T^{-1}]\)
Subtopic: Dimensions |
78%
From NCERT
NEET - 2021
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A screw gauge gives the following readings when used to measure the diameter of a wire:
Main scale reading: \(0\) mm
Circular scale reading: \(52\) divisions
Given that \(1\) mm on the main scale corresponds to \(100\) divisions on the circular scale, the diameter of the wire that can be inferred from the given data is:
| 1. | \(0.26\) cm | 2. | \(0.052\) cm |
| 3. | \(0.52\) cm | 4. | \(0.026\) cm |
Subtopic: Measurement & Measuring Devices |
69%
From NCERT
NEET - 2021
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If force \([F]\), acceleration \([A]\) and time \([T]\) are chosen as the fundamental physical quantities, then find the dimensions of energy:
1. \(\left[FAT^{-1}\right]\)
2. \(\left[FA^{-1}T\right]\)
3. \(\left[FAT\right]\)
4. \(\left[FAT^{2}\right]\)
Subtopic: Dimensions |
67%
From NCERT
NEET - 2021
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Plane angle and solid angle have:
| 1. | both units and dimensions |
| 2. | units but no dimensions |
| 3. | dimensions but no units |
| 4. | no units and no dimensions |
Subtopic: Dimensions |
78%
From NCERT
NEET - 2022
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The dimensions \([MLT^{-2}A^{-2}]\) belong to the:
1. electric permittivity
2. magnetic flux
3. self-inductance
4. magnetic permeability
1. electric permittivity
2. magnetic flux
3. self-inductance
4. magnetic permeability
Subtopic: Dimensions |
From NCERT
NEET - 2022
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The area of a rectangular field (in \(\text{m}^2\)) of length \(55.3\) m and breadth \(25\) m after rounding off the value, for correct significant digits is:
1. \(14\times10^{2}\)
2. \(138\times10^{1}\)
3. \(1382\)
4. \(1382.5\)
1. \(14\times10^{2}\)
2. \(138\times10^{1}\)
3. \(1382\)
4. \(1382.5\)
Subtopic: Significant Figures |
62%
From NCERT
NEET - 2022
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