Question 2 :
$5.74\ g$ of a substance has density $4.8 gcm^{-3}$.Keeping significant figures in view,calculate its volume?
Question 3 :
Mark the formulae which is used to measure volume of a regular shaped object.
Question 5 :
If the unit of tension is divided by the unit of surface tension the derived unit will be same as that of
Question 6 :
When the number 0.046508 is reduced to 4 significant figures, then it becomes :
Question 7 :
With due regard to significant figures, the value of $ 46.7-10.04  $ is :
Question 8 :
If 'Muscular strength' times 'Speed' is equal to power, then dimensional formula for 'Muscular strength' is:
Question 9 :
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 10 :
The physical quantity having the dimensions $\displaystyle \left[ { M }^{ -1 }{ L }^{ -3 }{ T }^{ 3 }{ A }^{ 2 } \right] $ is :
Question 11 :
The value of $500.0 m+600 mm$ with due regards to significant figures is:<br/>
Question 13 :
If $I$ is the moment of inertia and $\omega$ the angular velocity, what is the dimensional formula of rotational kinetic energy, $\dfrac {1}{2}I\omega^2$?<br/>
Question 14 :
If the unit of work is $100J$, the unit of power is $1KW$, the unit of time in second is:
Question 15 :
The prefix used for denoting an order of magnitude of $\displaystyle { 10 }^{ 6 }$ is ___________.
Question 17 :
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 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 20 :
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 22 :
Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are $3$% each, then error in the value of resistance of the wire is
Question 23 :
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 25 :
In C.G.S system the magnitude of the force is $100$ dyne. In another system where the fundamental physical quantities are kilogram, metre, and minute, the magnitude of force is:
Question 26 :
Which one of the following represents the correct dimensions of the coefficient of viscosity ?
Question 27 :
Fill in the blank:<br/>When the measured quantity is not dimensionless, ___________ is a dimensionless error.
Question 28 :
The unit and dimensions of impedance in terms of charge Q are
Question 30 :
The dimensions of $\dfrac{(velocity)^2}{radius} $ are the same as that of: