Question 1 :
Quantity $X$ has a fractional uncertainty of $x$. Quantity $Y$ has a fractional uncertainty of $y$.<br>What is the fractional uncertainty in $\dfrac {X}{Y^{2}}$?
Question 2 :
The least count of a stop watch is $\dfrac{1}{5}$ second. The time of $20$ oscillations of a pendulum is measured to be $25$ seconds. The maximum percentage error in the measurement of time will be
Question 3 :
The dimensions of quantity $ \dfrac{1}{\mu_0} (\vec{E} \times \vec{B})$ are:$ [\mu_0= $ permeability of free space, $ \displaystyle E^1= $ electric field strength, $ \displaystyle B^1=$ magnetic  field  induction $] $ 
Question 4 :
The quantity $\dfrac { { e }^{ 2 } }{ 2{ \epsilon}_{0 }hc } $ has the dimensions of:
Question 7 :
When a current of $(2.5 0\pm 0.5)A$ flows through a wire, it develops a potential difference of $(20\pm 1)V$. The resistance of the wire is :
Question 8 :
In terms of basic units of mass $(M)$, length $(L)$, time $(T)$ and charge $(Q)$, the dimensions of magnetic permeability of vacuum $({\mu}_0)$ would be
Question 9 :
On dividing dimension of gravitational constant by the dimension of surface tension we get
Question 10 :
$L, C, R$ represent physical quantities inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are
Question 11 :
The equation of a wave is given by $y=a sin\omega \left (\dfrac {x}{v}-k\right )$, where $\omega$ is angular velocity and $v$ is linear velocity. The dimensions of $K$ will be<br/>
Question 12 :
A student measure the thickness of an object by three different instruments and gets the result as 0.5 cm, 0.50 cm, 0.500 cm. State the one which is more accurate.
Question 13 :
Fill in the blank:<br/>When the measured quantity is not dimensionless, ___________ is a dimensionless error.
Question 14 :
The length, breadth and height of a glass slab are respectively $50 cm$, $20 cm$ and $25 cm$. Find the volume of the slab.
Question 16 :
Mark the formulae which is used to measure volume of a regular shaped object.
Question 17 :
The number of uncertain digit/digits in measured length reported as $ 41.68$ units is
Question 19 :
According to theory of significant figures $\left( 2.0 \right) ^{ 10 }$ is :
Question 20 :
The proper value of significant figures in $38.0+ 0.0035 + 0.00003$ is:
Question 21 :
The number of significant figures in the numbers $672.9$ and $2.520\times { 10 }^{ 7 }$ are :
Question 22 :
When $24.25\times { 10 }^{ 3 }$ is rounded off to three significant figures, it becomes :
Question 24 :
By rounding off, (a) $20.96$ and (b) $0.0003125$ to three significant figures, we get
Question 26 :
Density and mass of the solid block is $5.2\ kg/m^3$ and $2\ kg$.Find its volume?<br><br>
Question 28 :
The length, breadth and thickness of a rectangular lamina are $1.024\ m$, $0.56\ m$, and $0.0031\ m$. The volume, in ${ m }^{ 3 }$, is:
Question 29 :
The error and the correction to be made when the zeroth division of the head scale in a Screw gauge is above index line of the pitch scale respectively are: