MCQ
The physical quantities not having same dimensions are:
  • Momentum and Planck's constant.
  • B
    Speed and $(\mu_0\in_0)^{\frac{-1}{2}}$
  • C
    Speed and $\sqrt{\frac{\text{p}}{\rho}}$
  • D
    Surface tension and spring constant.

Answer

Correct option: A.
Momentum and Planck's constant.
Momentum $\text{= mv}=[\text{MLT}^{-1}]$
Planck's constant $=​​\text{h}=\frac{\text{E}}{\text{V}}=\frac{\text{ML}^2\text{L}^{-2}}{\text{T}^{-1}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The ranges and heights for two projectiles projected with the same initial velocity at angles $42^{\circ}$ and $48^{\circ}$ with the horizontal are ${R}_{1}, {R}_{2}$ and ${H}_{1}$, ${H}_{2}$ respectively. Choose the correct option:
Wein's constant is $2892 \times {10^{ - 6}}$$MKS$ unit and the value of ${\lambda _m}$ from moon is $14.46$ microns. What is the surface temperature of moon ...... $K$
The coefficient of friction between two surfaces is $\mu  = 0.8$.The tension in the string shown in the figure is ........ $N$ 
A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated uniformly to raise its temperature slightly
Rocket engines lift a rocket from the earth surface because hot gas with high velocity
In a vernier callipers, $10$ divisions of vernier scale coincides with $9$ divisions of main scale, the least count of which is $0.1\,cm$. If in the measurement of inner diameter of cylinder zero of vernier scale lies between $1.3\,cm$ and $1.4\, cm$ of main scale and $2^{nd}$ division of vernier scale coincides with main scale division then diameter will be .......... $cm$
The period of small oscillation of a simple pendulum is $T$. The ratio of density of liquid to the density of material of the bob is $\rho \left( {\rho  < 1} \right)$.When immersed in the liquid, the time period of small oscillation will now be
In the climax of a movie, the hero jumps from a helicopter and the villain chasing the hero also jumps at the same time from the same level. After sometime when they were at same horizontal level, the villain fires bullet horizontally towards the hero. Both were falling with constant acceleration $2\ m/s^2$ , because of parachute. Assuming the hero to be within the range of bullet, and air resistace force on bullet is negligible. Which of the following is correct
A particle executing simple harmonic motion of amplitude $5\, cm$ has maximum speed of $31.4\, cm/s$. The frequency of its oscillation is ..... $Hz$
Two projectiles $A$ and $B$ are projected with angle of projection $15^{\circ}$ for the projectile $A$ and $45^{\circ}$ for the projectile $B$. If $R_A$ and $R_B$ be the horizontal range for the two projectiles, then: