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:

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, 

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,

Which of the following pairs of physical quantities does not have the same dimensional formula?

The measure of two quantities along with the precision of respective measuring instrument is $\mathrm{A}=2.5{\mathrm{ms}}^{-1}\pm 0.5{\mathrm{ms}}^{-1},\hspace{0.17em}\mathrm{B}=0.10\mathrm{s}\pm 0.01\mathrm{s}$. The value of AB will be:

1. (0.25 $\pm$ 0.08) m

2. (0.25 $\pm$ 0.5) m

3. (0.25 $\pm$ 0.05) m

4. (0.25 $\pm$ 0.135) m

You measure two quantities as A = 1.0 m $\pm$ 0.2 m, B = 2.0 m $\pm$ 0.2 m. We should report the correct value for $\sqrt{\mathrm{AB}}$ as

1. 1.4 m $\pm$ 0.4 m

2. 1.41 m $\pm$ 0.15 m

3. 1.4 m $\pm$ 0.3 m

4. 1.4 m $\pm$ 0.2 m