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 |
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. \(14.1\)
How many significant figures are in \(0.0006032~\text{m}^2?\)
1. \(8\)
2. \(4\)
3. \(9\)
4. none of these
The number of significant figures in 0.06900 is:
1. 5
2. 4
3. 2
4. 3
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. | \(663.82\) |
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. \(1.695~\text{g cm}^{-3}\)
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 \(2.74\) |
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. | \(163.62\pm3~\text{cm}^2\) |
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 |
The measure of two quantities along with the precision of respective measuring instrument is . The value of AB will be:
1. (0.25 0.08) m
2. (0.25 0.5) m
3. (0.25 0.05) m
4. (0.25 0.135) m