Physics

# The dimensional formula for magnetic flux is:

$(ML^2T^{-2}A^{-1})$

##### SOLUTION
The magnetic flux if given by
$\phi=BAcos\theta$
If $cos\theta=1$
The maximum magnetic flux, $\phi=BA$. . . . . .(1)
where, $B=$ magnetic field
$A=area$
The dimensional formula for magnetic field,
$F=qvB$
where, $v=$ velocity
$q=$ charge,
$B=$ magnetic field
$[B]=\dfrac{M^1 L^1T^{-2}}{[A^1 T^1][L^1T^{-1}]}$
$[B]=[M^1L^0T^{-2}A^{-1}]$
for area, $[A]=[M^0 L^2 T^0]$
The dimensional formula for magnetic flux,
$[\phi]=[M^1L^0 T^{-2}A^{-1}].[M^0L^2T^0]$
$[\phi]=[M^1L^2T^{-2}A^{-1}]$
The correct option is A.

You're just one step away

Single Correct Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 197

#### Realted Questions

Q1 Single Correct Medium
The velocity $v$ of a particle at time $t$ is given by $\displaystyle v= at+\frac{b}{t+c}$, where $a, b$ and $c$ are constants. The dimensions of $a, b$ and $c$ are respectively
• A. $\displaystyle \left [ LT^{-2} \right ], \left [ L \right ]\:and\:\left [ T \right ]$
• B. $\displaystyle \left [ L^{2} \right ], \left [ T \right ]\:and\:\left [ LT^{2} \right ]$
• C. $\displaystyle \left [ LT^{2} \right ], \left [ LT \right ]\:and\:\left [ L \right ]$
• D. $\displaystyle \left [ L \right ], \left [ LT \right ]\:and\:\left [ T^{2} \right ]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Medium
If C be the capacitance and V be the electric potential,then the dimensional formula of $CV^2$ is
• A. $[ML ^{-3} TA]$
• B. $[M^oLT^{-2} A^o]$
• C. $[ML ^1 A^{-1 }]$
• D. $[ML^2T^{-2} A^o]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Single Correct Medium
Crane is British unit of volume.(one crane$=170.474$ litre). Convert crane into SI unit:
• A. $0.170474 m^3$
• B. $17.0474$ $m^3$
• C. $0.0017474$ $m^3$
• D. $1704.74$ $m^3$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Single Correct Medium
The dimensional formula of effective torsional constant of spring is ________.
• A. $M^1L^2T^{-3}$
• B. $M^1L^2T^{-2}A^{-2}$
• C. $M^1L^2T^{-2}$
• D. $M^0L^0T^0$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
Light years is the unit of:
• A. time
• B. length
• C. mass
• D. none of these

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020