Physics

# The relation between force 'F' and density 'd' is $F=\displaystyle\frac{x}{\sqrt d}$. The dimensions of $x$ are

$\displaystyle [L^{-1{/2}}M^{3{/2}}T^{-2}]$

##### SOLUTION
$[x]=[F]{ [d] }^{ 0.5 }=[ML{ T }^{ -2 }]{ [{ ML }^{ -3 }] }^{ 0.5 }=[{ M }^{ 1.5 }{ L }^{ -0.5 }{ T }^{ -2 }]$

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 203

#### Realted Questions

Q1 Single Correct Medium
Ampere-hour is the unit of
• A. Quantity of charge
• B. Potential
• C. Energy
• D. Current

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Subjective Medium
Assume that the mass $(m)$ of the largest stone that can be moved by the flowing river depends only upon the velocity $v$ and the density $\rho$ of the water, along with the acceleration due to gravity $g$. Show that $m$ varies with sixth power of the velocity of the flow.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Single Correct Medium
If the units of force, energy and velocity are $10$ N, $100$ J and $5$ m/s then the unit of mass is :
• A. 1 kg
• B. 2 kg
• C. 3 kg
• D. 4 kg

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Subjective Medium
When the planet Jupiter is at a distance of $824.7$ million kilometers from the Earth,its angular diameter is measured to be $35.72$ of arc. Calculate the diameter of Jupiter.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
In a given system of units, the ratio of the unit of volume to the area gives the unit of :
• A. Mass
• B. Length
• C. Time
• D. Temperature

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020