Download App

1. units,dimensions and measurement — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics1. units,dimensions and measurement1 Mark
MCQ
Frequency is the function of density $(\rho )$, length $(a)$ and surface tension $(T)$. Then its value is
  • ✓
    $k{\rho ^{1/2}}{a^{3/2}}{\bf{/}}\sqrt T $
  • B
    $k{\rho ^{3/2}}{a^{3/2}}/\sqrt T $
  • C
    $k{\rho ^{1/2}}{a^{3/2}}/{T^{3/4}}$
  • D
    $k{\rho ^{1/2}}{a^{1/2}}/{T^{3/2}}$
✓

Answer

Correct option: A.
$k{\rho ^{1/2}}{a^{3/2}}{\bf{/}}\sqrt T $
a
(a) Let $n = k{\rho ^a}{a^b}{T^c}$ where $[\rho ] = [M{L^{ - 3}}],\;[a] = [L]$ and $[T] = [M{T^{ - 2}}]$

Comparing both sides, we get

$a = \frac{1}{2},\,b = \frac{3}{2}$ and $c = \frac{{ - 1}}{2}$ 

$\eta = \frac{{k{\rho ^{1/2}}{a^{3/2}}}}{{\sqrt T }}$

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

Explore more

More "M.C.Q (1 Marks)" from 1. units,dimensions and measurement→1. units,dimensions and measurement — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A projectile crosses two walls of equal height $H$ symmetrically as shown The velocity of projection is........ $ms^{-1}$
→
The displacement $x$ of a particle in a straight line motion is given by $x=1-t-t^2$. The correct representation of the motion is $..............$.
→
Two masses of $0.25\, kg$ each moves towards each other with speed $3\, ms^{-1}$ and $1\, ms^{-1}$. Then they collide and stick together. Find the final velocity .............. $\mathrm{m} \mathrm{s}^{-1}$
→
Temperature can be expressed as a derived quantity in terms of any of the following
→
The density of a material is $CGS$ system of units is $4\,g/cm^3$. In a system of units in which unit of length is $10\,cm$ and unit of mass is $100\,g$, the value of density of material will be
→
Four cylinders contain equal number of moles of argon, hydrogen, nitrogen and carbon dioxide at the same temperature. The energy is minimum in:
→
A bomb is projected with $200\,m/s$ at an angle $60^o$ with horizontal. At the highest point, it explodes into three particles of equal masses. One goes vertically upward with velocity $100\,m/sec,$ second particle goes vertically downward with the same velocity as the first. Then what is the velocity of the third one
→
Consider two wires of same material having their ratio of radii to be $2: 1$. If these two wires are stretched by equal force, then the ratio of stress produced in them is
→
Area under a speed $-$ time graph gives:
→
Before jumping in water from above, a swimmer bends his body to
→