Units and Dimensions
Find the dimension of linear momentum.
Find the dimensions of electrifc field E. The relevant equations are $$F=qE, F=qvB$$ and $$B=\dfrac{\mu_oI}{2\pi a}$$ where F is force, q is charge, v is speed, I is current, and a is diatance.
Electric field E=F/q=
MLT−2
[IT]
=[MLT−3T−1].
Find the dimension of linear momentum.
Find the dimensions of frequency.
Find the dimensions of pressure.
Find the dimensions of magnefic field B. The relevant equations are $$F=qE, F=qvB$$ and $$B=\dfrac{\mu_oI}{2\pi a}$$; where F is force, q is charge, v is speed, I is current, and a is distance.
Find the dimensions of magnetic permeability $$\mu_o$$. The relevant equations are $$F=qE, F=qvB$$ and $$B=\dfrac{\mu_oI}{2\pi a}$$; where F is force, q is charge, v is speed, I is current, and a is distance.
Find the dimensions of electric dipole moment p. The defining equations are $$p=q.d$$ and $$M=IA$$; where d is distance, A is area, q is charge and I is current.
Find the dimensions of magnetic dipole moment M. The defining equations are $$p=q.d$$ and $$M=IA$$; where d is distance, A is area, q is charge and I is current.
The frequency of vibration of a string depends on teh length L between the nodes, the tension F in the string and its mass per unit length m. Guess the expression for its frequency from dimensional analysis.
Which of the following pairs has quantities of the same dimensions ?
If $$v=$$velocity of a body $$c=$$ speed of light Then the dimensions of $$\dfrac{v}{c}$$ is: