
The dimension of magnetic field in M, L, T and C (Coulomb) is given as:
A.
B.
C.
D.
Answer
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Hint: The dimensional formula of magnetic field can be calculated using the formula that has come from . This is the force acting on a charge q moving with velocity v in a magnetic field B.
Complete step by step answer:
To calculate the dimensional formula of magnetic field we take the formula
This is the magnetic field B applied on a charge q, moving with a velocity v under the influence of a Magnetic Lorentz force F.
We must write each physical quantity used in its dimensional form:
Force F:
Charge q must be taken as Coulomb:
Velocity v:
Substituting these in the first equation we get:
On solving we get:
Hence, the correct answer is option C.
Additional Information:
The SI units and Dimensional formula of some important physical quantities to remember are:
Work, Energy of all kinds =
Power =
Planck’s Constant (h) =
Angular displacement ( )= .
Angular velocity ( )=
Force constant ( ) =
Coefficient of elasticity ( ) =
Angular frequency
Angular momentum
Note: Another method for solving this question would be by using the formula for force on a current carrying conductor placed in a magnetic field and therefore, .While solving dimensional formula questions students must note that every physical quantity must be expressed in its absolute units only.
Complete step by step answer:
To calculate the dimensional formula of magnetic field we take the formula
This is the magnetic field B applied on a charge q, moving with a velocity v under the influence of a Magnetic Lorentz force F.
We must write each physical quantity used in its dimensional form:
Force F:
Charge q must be taken as Coulomb:
Velocity v:
Substituting these in the first equation we get:
On solving we get:
Hence, the correct answer is option C.
Additional Information:
The SI units and Dimensional formula of some important physical quantities to remember are:
Work, Energy of all kinds =
Power =
Planck’s Constant (h) =
Angular displacement (
Angular velocity (
Force constant (
Coefficient of elasticity (
Angular frequency
Angular momentum
Note: Another method for solving this question would be by using the formula for force on a current carrying conductor placed in a magnetic field
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