MCQ
Pressure gradient has the same dimension as that of
- AVelocity gradient
- BPotential gradient
- CEnergy gradient
- ✓None of these
✓
Answer
Correct option: D.
None of these
d
(d) Velocity gradient $ = \frac{v}{x} = \frac{{[L{T^{ - 1}}]}}{{[L]}} = [{T^{ - 1}}]$
(d) Velocity gradient $ = \frac{v}{x} = \frac{{[L{T^{ - 1}}]}}{{[L]}} = [{T^{ - 1}}]$
Potential gradient$ = \frac{V}{x} = \frac{{[M{L^2}{T^{ - 3}}{A^{ - 1}}]}}{{[L]}}$$ = [ML{T^{ - 3}}{A^{ - 1}}]$
Energy gradient $ = \frac{E}{x} = \frac{{[M{L^2}{T^2}]}}{{[L]}} = [ML{T^{ - 2}}]$
and pressure gradient$ = \frac{P}{x} = \frac{{[M{L^{ - 1}}{T^{ - 2}}]}}{{[L]}} = [M{L^{ - 2}}{T^{ - 2}}]$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A particle moves with a constant velocity parallel to the $X-$axis. Its angular momentum with respect to the origin:
→A force of $100 \,dynes$ acts on a mass of $5\, gram$ for $10\, sec$. The velocity produced is ......... $cm/sec$
→An ideal gas is taken around $ABCA$ as shown in the above $P-V$ diagram. The work done during a cycle is
→A body takes $4\, {min}$. to cool from $61^{\circ} {C}$ to $59^{\circ} {C}$. If the temperature of the surroundings is $30^{\circ} {C}$, the time taken by the body to cool from $51^{\circ} {C}$ to $49^{\circ} {C}$ is $....\,min$
→A block $A$ of mass $4\, kg$ is placed on another block $B$ of mass $5\, kg$, and the block $B$ rests on a smooth horizontal table. If the minimum force that can be applied on $A$ so that both the blocks move together is $12\, N$, the maximum force that can be applied to $B$ for the blocks to move together will be ....... $N$
→A ball of mass $0.2\ kg$ is thrown vertically upwards by applying a force by hand. If the hand moves $0.2m$ which applying the force and the ball goes upto $2m$ height further, find the magnitude of the force. Consider $g = 10\ m/ s^2$
→A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is $5\, cm$ and the angular speed of rotation is $\omega\; rad \,s^{-1}$. The difference in the height, $h($ in $cm )$ of liquid at the centre of vessel and at the side will be
→Two sound waves of intensity $2 \,W / m ^2$ and $3 \,W / m ^2$ meet at a point to produce a resultant intensity $5 \,W / m ^2$. The phase difference between two waves is ......
→One mole of an ideal diatomic gas is taken through the cycle as shown in the figure.
→$1 \rightarrow 2 :$ isochoric process
$2 \rightarrow 3 :$ straight line on $P-V$ diagram
$3 \rightarrow 1 :$ isobaric process
The average molecular speed of the gas in the states $1, 2$ and $3$ are in the ratio
A capillary tube $A$ is dipped in water. Another identical tube $B$ is dipped in soap$-$water solution. Which of the following shows the relative nature of the liquid columns in the two tubes?
→