Question 2 :
What are the number of significant figures in the measurement $ 0.0040\times10^{-15}m $?

Question 3 :
Assertion: The number 1.202 has four significant figures and the number 0.0024 has two significant figures. Reason: All the non zero digits are significant.

Question 4 :
A cube has a side of length $\displaystyle 1.2\times { 10 }^{ -2 }m$. Calculate its volume.

Question 5 :
The radius of a thin wire is 0.16 mm. The area of cross-section taking significant figure into consideration in square millimeters is?<br/>

Question 6 :
The volume of a sphere is $ 1.76cm^3 $. The volume of 25 such spheres taking into account the significant figure is:

Question 7 :
If $X = A \times B$ and $\triangle X, \triangle A$ and $\triangle B$ are maximum absolute errors in $XA$ and $B$ respectively, then the maximum relative error in X is given by:

Question 8 :
If the level of water raises from 60 $cm^3$ to 80 $cm^3$ on placing a stone x into a measuring&#160;jar, then the volume of the stone is&#160;_________&#160;litre.<br/>

Question 9 :
A physical quantity X is related to four measurable quantities a, b, c and d as given, X = $a^2b^3c^{5/2}d^{-2}$. The percentage error in the measurement of a, b, c and d are 1%, 2%, 2% and 4% respectively. What is the percentage error in quantity X?

Question 10 :
A substance of mass $49.53 g$ occupies $1.5{ cm }^{ 3 }$ of volume. The density of the substance (in $g{ cm }^{ -3 }$) with correct number of significant figures is :

Question 11 :
Using the principle of homogeneity of dimensions, which of the following is correct?

Question 13 :
A force $F$ is given by $ F = at + bt^2 $, where t is time, the dimensions of $a$ and $b$ are :

Question 14 :
Equal masses of ${ H }_{ 2 }, { O }_{ 2 }$&#160;and methane have been taken in a container of volume V at temperature&#160;${27}^{o}C$&#160;in identical conditions. The ratio of the volumes of gases ${ H }_{ 2 }: { O }_{ 2 }$: methane would be___________.

Question 16 :
The effective length of a simple pendulum is the sum of the following three: length of string, radius of bob, and length of hook.<br>In a simple pendulum experiment, the length of the string, as measured by a meter scale, is $92.0$cm. The radius of the bob combined with the length of the hook, as measured by a vernier callipers, is $2.15$cm. The effective length of the pendulum is

Question 17 :
The length,breadth and thickness of a rectangular copper sheet are $4 cm, 2.5 cm $ and $1.56 cm $ respectively. Find the area of the sheet to corrected significant figures.

Question 18 :
The length, breadth and thickness of a block are measured with the help of a meter scale. given&#160; &#160;$&#160;\ell $ =(5.12 + 0.01)cm, b =(10.15 +0.01)cm, t=(5.28+0.01)cm. The percentage error in volume is:

Question 19 :
For the four sets of three measured physical quantities as given below. Which of the following options is correct?<br>$(i)\ A_1=24.36,\ B_1=0.0724,\ C_1=256.2$<br>$(ii)\ A_2=24.44,\ B_2=16.082,\ C_2=240.2$<br>$(iii)\ A_3=25.2,\ B_3=19.2812,\ C_3=236.183$<br>$(iv)\ A_4=25,\ B_4=236.191,\ C_4=19.5$<br>

Question 20 :
The fractional change in the value of free-fall acceleration $g$ for a particle when it is lifted from the surface to an elevation $h$ ($h&lt;&lt;R$) is :