A student measures the thickness of a human hair by looking at it through a microscope of magnification \(100.\) He makes \(20\) observations and finds that the average width of the hair in the field of view of the microscope is \(3.5~\text{mm}.\) What is the estimate of the thickness of the hair?
1. \(0.0035~\text{mm}\)
2. \(0.0350~\text{mm}\)
3. \(0.1350~\text{mm}\)
4. \(0.2350~\text{mm}\)

 

Subtopic:  Measurement & Measuring Devices |
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Consider the following statements:

(A) The diameter of a thread is so small that it cannot be measured using a meter scale.
(B) In a screw gauge the least count decreases on increasing the number of divisions on the circular scale.
(C) A large number of observations (say, 100) will give more reliable results than a smaller number of observations (say, 5).


Choose the correct option from the given ones:

1. Only statements 1 and 2 are correct
2. Only statements 2 and 3 are correct
3. All three statements are correct
4. Only statements 1 and 3 are correct
Subtopic:  Measurement & Measuring Devices |
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The photograph of a house occupies an area of \(1.75~\text{cm}^2\) on a \(35~\text{mm}\)35 mm slide. The slide is projected onto a screen, and the area of the house on the screen is \(1.55~\text{m}^2.\) What is the linear magnification of the projector-screen arrangement?
1. \(84.1\)
2. \(94.1\)
3. \(74.1\)
4. \(14.1\)

Subtopic:  Measurement & Measuring Devices |
From NCERT
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How many significant figures are in \(0.0006032~\text{m}^2?\)
1. \(8\)
2. \(4\)
3. \(9\)
4. none of these

Subtopic:  Significant Figures |
From NCERT
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The number of significant figures in 0.06900 is:

1. 5

2. 4

3. 2

4. 3

Subtopic:  Significant Figures |
 86%
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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 |
 64%
From NCERT
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The mass and volume of a body are \(4.237~\text{g }\) and \(2.5~\text{cm}^3,\) respectively. The density of the material of the body in correct significant figures will be:
1. \(1.6048~\text{g cm}^{-3}\)
2. \(1.69~\text{g cm}^{-3}\)
3. \(1.7~\text{g cm}^{-3}\)
4. \(1.695~\text{g cm}^{-3}\)

Subtopic:  Significant Figures |
 82%
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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 |
 67%
From NCERT
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The length and breadth of a rectangular sheet are \(16.2\) cm and \(10.1\) cm, respectively. The area of the sheet in appropriate significant figures and error would be, respectively,

1. \(164\pm3~\text{cm}^2\) 2. \(163.62\pm2.6~\text{cm}^2\)
3. \(163.6\pm2.6~\text{cm}^2\) 4. \(163.62\pm3~\text{cm}^2\)
Subtopic:  Errors | Significant Figures |
 62%
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Which of the following pairs of physical quantities does not have the same dimensional formula?

1. work and torque
2. angular momentum and Planck's constant
3. tension and surface tension
4. impulse and linear momentum

Subtopic:  Dimensions |
 73%
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