Question 1 :
Two physical quantities of which one is a vector and the other is a scalar having the same dimensional formula are
Question 3 :
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 5 :
The number of uncertain digit/digits in measured length reported as $ 41.68$ units is
Question 7 :
If $\mu =A+\dfrac { B }{ \lambda  } +\dfrac { C }{ { \lambda }^{ 2 } } $ is dimensionally correct then the dimensions of A, B and C respectively are:($\mu $, A, B, C are constants) 
Question 9 :
Consider the following two statements A and B. Identify the correct answer.<br/>A) The quantity $\dfrac { { e }^{ 2 } }{ { \epsilon  }_{ 0 }ch } $ is dimensionless.<br/>B) $\dfrac { 1 }{ \sqrt { { \mu  }_{ 0 }{ \epsilon  }_{ 0 } }  } $ has the dimensions of velocity and is numerically equal of velocity of light.
Question 10 :
The value of $\sqrt { 2 } $ in correct significant digits is :
Question 11 :
The fundamental unit which has the same power in the dimensional formula of surface tension and coefficient of viscosity is:
Question 12 :
If a measured quantity has $n$ significant figures, the reliable digits in it are :
Question 13 :
Subtract $0.2\;J$ from $7.26\;J$ and express the result with correct number of significant figures.
Question 14 :
Given $P = 0.0030 \,m, Q = 2.40 \,m$ and $R = 3000 m$, then number of significant figure in $P, Q, R$ are respectively:
Question 15 :
If the unit of tension is divided by the unit of surface tension the derived unit will be same as that of
Question 17 :
If the value of 103.5 kg is rounded off to three significant figures, then the value is
Question 18 :
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 19 :
A motor pumps water at the rate of $V\ { m }^{ 3 }/s$, against a pressure P ${ Nm }^{ -2 }$. The power of the motor in watt is:
Question 20 :
The unit and dimensions of impedance in terms of charge Q are
Question 22 :
The distance traveled by a body in time $'t'$ is given by $x=a+bt+{ ct }^{ 2 }$ where $x$ is distance, $t$ is time $a, b$ and $c$ are constants. The dimensional formula for $a, b$ and $c$ respectively are :
Question 23 :
The frequency of vibration of a string is given by $f=\dfrac {n}{2L} \sqrt {\dfrac {T}{m}}$, where $T$ is tension in the string, $L$ is the length, $n$ is number of harmonics. The dimensional formula for $m$ is<br/>
Question 24 :
If the unit of work is $100J$, the unit of power is $1KW$, the unit of time in second is:
Question 25 :
Let $Q$ denote the charge on the plate of a capacitor of capacitance $C$. The dimensional formula for $\dfrac {Q^2}{C}$ is
Question 27 :
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:
Question 28 :
With due regards to significant figures $ 5.4 \times 0.125$ is equal to:<br/>
Question 29 :
If $m$ is the mass of drop of a liquid of radius $r$, then $\ \dfrac { mg }{ \pi r } \ $ has the same dimensions of : 
Question 30 :
The velocity of a moving particle depends upon time t as $v=at+\dfrac{b}{t+c}$. Then dimensional formula for b is?
Question 33 :
A body of mass $m =3.513\ kg$ is moving along the x-axis with a speed of $5.00{ ms }^{ -1 }$. The magnitude of its momentum is recorded as :
Question 39 :
Which two of the following five physical parameters have the same dimensions?<br> A) Energy Density<br>B) Refractive Index<br>C) Dielectric Constant<br>D) Young's Modulus<br>E)Magnetic Field<br><br>
Question 40 :
Consider the following two statements A and B and identify the correct answer.<br/>A) Two quantities which are to be added must have the same dimensions.<br/>B) Two quantities which are to be multiplied must have the same dimensions.
Question 41 :
State whether the following statement is True or False. The prefix used for $\displaystyle { 10 }^{ 3 }$ is kilo.
Question 42 :
If force $F$, acceleration $A$ and time $T$ are taken as fundamental quantities then the dimensions of energy are :
Question 43 :
With due regard to significant figures, the value of $ 46.7-10.04  $ is :
Question 44 :
The diameter of a sphere is $4.24\ m$. Its surface area with due regard to significant figures is :
Question 45 :
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 46 :
$5.74\ g$ of a substance has density $4.8 gcm^{-3}$.Keeping significant figures in view,calculate its volume?
Question 47 :
Which of the following does not give the unit of energy ? 
Question 48 :
Calculate the volume of Sphere when the radius is given as $5.2$ cm?
Question 49 :
If ${ (force) }^{ x }=\dfrac { \left( Mass \right) ^{ 2 }\left( radius \right) ^{ 2 } }{ \left( time \ period \right) ^{ 4 } } $, then the value of $x$ is
