Out of the following, the only pair that does not have identical dimensions is
  • A
    Angular momentum and Planck's constant
  • B
    Moment of inertia and moment of a force
  • C
    Work and torque
  • D
    Impulse and momentum
Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    If energy $(E)$, velocity $(v)$and force $(F)$ be taken as fundamental quantity, then what are the dimensions of mass
    View Solution
  • 2
    An object of mass $4.237 g$ occupies a volume $1.72 cm ^3$. The density of the object to appropriate significant figures is ......... $g cm ^{-3}$
    View Solution
  • 3
    Choose the correct match

    List I 

    List II

     $(i)$ Curie

     $(A)$ $ML{T^{ - 2}}$

     $(ii)$ Light year 

     $(B)$ $M$

     $(iii)$ Dielectric strength

     $(C)$ Dimensionless

     $(iv)$ Atomic weight

     $(D)$ $T$

     $(v)$ Decibel

     $(E)$ $M{L^2}{T^{ - 2}}$

     

     $(F)$ $M{T^{ - 3}}$

     

     $(G)$ ${T^{ - 1}}$

     

     $(H)$ $L$

     

     $(I)$ $ML{T^{ - 3}}{I^{ - 1}}$

     

     $(J)$ $L{T^{ - 1}}$

    View Solution
  • 4
    A screw gauge gives the following readings when used to measure the diameter of a wire

    Main scale reading : $0 \,\mathrm{~mm}$

    Circular scale reading $: 52$ $divisions$

    Given that $1\, \mathrm{~mm}$ on main scale corresponds to $100\, divisions$ on the circular scale. The diameter of the wire from the above data is ...... $cm$

    View Solution
  • 5
    The unit of specific resistance is
    View Solution
  • 6
    The conversion of $1 \;MW$ power in a new system having basic unit of mass, length and time as $10 \;kg , 1 \;dm$ and $1 \;minute$ respectively is:
    View Solution
  • 7
    Match List $I$ with List $II$

    List $I$ List $II$
    $(A)$ Young's Modulus $(Y)$ $(I)$ $\left[ M L ^{-1} T ^{-1}\right]$
    $(B)$ Co-efficient of Viscosity $(\eta)$ $(II)$ $\left[ M L ^2 T ^{-1}\right]$
    $(C)$ Planck's Constant $(h)$ $(III)$ $\left[ M L ^{-1} T ^{-2}\right]$
    $(D)$ Work Function $(\phi)$ $(IV)$ $\left[ M L ^2 T ^{-2}\right]$

    Choose the correct answer from the options given below:

    View Solution
  • 8
    A physical quantity $P$ is given as $P=\frac{a^2 b^3}{c \sqrt{d}}$ The percentage error in the measurement of $a, b, c$ and $d$ are $1 \%, 2 \%, 3 \%$ and $4 \%$ respectively. The percentage error in the measurement of quantity $P$ will be $.......\%$
    View Solution
  • 9
    The relative error in the measurement of the side of a cube is $0.027$. The relative error in the measurement of its volume is .......... 
    View Solution
  • 10
    If energy $(E),$ velocity $(V)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be
    View Solution