Home
Class 12
PHYSICS
Calculate the dimensions of (a) int vecE...

Calculate the dimensions of (a) `int vecE .dvecl, (b)vBl and (dPhi_0)/(dt)`. The symbols have their usual meanings.

Text Solution

Verified by Experts

`(a) int E//dl=MLT^(-3) I^(-1)xxL=ML^(2)I^(-1)T^(-3)`
`(b) vBl=LT^(-1)xxMI^(-1)T_(-2)xxL`
`=ML^(2)I^(-1)T^(-3)`
`(c ) (d phi)/(dt)=MI^(-1)T^(-2)xxLxxLT^(-1)`
`=ML^(2)I^(-1)xxML^(2)xxT^(-3)`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    HC VERMA|Exercise Objective 2|10 Videos

  • ELECTRIC FIELD AND POTENTIAL

    HC VERMA|Exercise Exercises|75 Videos

  • ELECTROMAGNETIC WAVES

    HC VERMA|Exercise Exercise|9 Videos

Similar Questions

Explore conceptually related problems

(a) Show that for a projectile the angle between the velocity and the x - axis as a function of time is given by theta(t)="tan"^(-1)((v_(0y)-"gt")/(v_(@)x)) (b) Shows that the projection angle theta_(@) for a projectile launched from the origin given by theta_(0)=tan^(-1)((4h_(m))/(R)) where the symbols have their usual meaning.

The line-width of a bright fringe is sometimes defined as the separation between the points on the two sides of the central line where the intensity falls to half the maximum. Find the line-width of a bright fringe in a Young's double slit experiment in terms of lamda , d and D where the symbols have their usual meanings

Find the dimensional formulae of the following quantities: a. the universal constant of gravitation G, b. the surface tension S, c. the thermal conductivity k and d. the coeficient of viscosity eta . Some equation involving these quantities are F=(Gm_1m_2)/r^2, S= (rho g r h)/2, Q=k(A(theta_2-theta_1)t)/d and F=- eta A (v_2-v_1)/(x_2-x_1) where the symbols have their usual meanings.

Show that for a wave travelling on a string y_(max)/v_(max)=v_(max)/a_(max) wher the symbols have usual meanings. Can we use componendo and dividendo taught in algebra to write (y_(max)+v_(max))/(y_(max)-v_(max))=(v_(max)+a_(max))/(v_(max)-a_(max))?

Consider three quantities x=E/B,y= 1/μ 0 ​ ε 0 ​ ​ and Z= CR l ​ . Here, l is the length of a wire, C is a capacitance and R is a resistance. All other symbols have standard meanings.

"Gauss's law is true for any closed surface, no matter what its shape or size" say the following statements are true or false. a. Gauss's law implies that the total electric flux through a closed surface is zero if no charge is enclosed by the surface. b. This law is useful for the calculation of electrostatic field when the system doesn't possess any symmetry. c. In a uniform electric field, we know that the dipole experiences no net force, but experiences a torque having a relation with P and E is given by ............ where the parameters P and E have their usual meaning.

An ideal solenoid having 40 turns cm^(-1) has an aluminium core and carries a current of 2.0 A . Calculate the magnetization I developed in the core and the magnetic field B at the centre. The susceptibility chi of aluminium = 2.3 xx 10^(-5) .

The earth revolves round the sun due to gravitatinal attraction. Suppose that the sun and the earth are point particle with their existing masses and that Bhor's quantization rule for angular monentum is valid in the case of gravitation (a) Calculate the minimum radius the earth can have for its orbit. (b) What is the value of the principle quantum number n for the present radius ? Mass of the earth = 6.0 xx 10^(24) kg, mass of the sun = 2.0 xx 10^(30) kg, earth-sun distance = 1.5 xx 10^(11)m .

Two particles A and B, having opposite charges 2.0xx 10^(-6) and -2.0 xx10^(-6) C , are placed at a separaton of 1.0 cm.(a) write down the electric dipole moment (b) Calculate the electric field at a point on the axis of the dipole 1.0 m away from the centre. (c ) Calculate the electric field at a point on the perpendicular bisector of the dipole and 1.0 m away from the centre.

An electric field of magnitude 1000 NC ^(-1) is produced between two parallel platees having a separation of 2.0 cm as shown in figure(29.E4) (a) What is the potential difference between the plates? (b) With what minimum speed should an electron be projected from the lower plate in the direction of the field so that it may reach the upper plate? ( c) Suupose the electron is projected from the lower plate with the speed calculated in part (b) . The direction of projection makes an angle of 60@ with the field. Find the mazimum height reached by the electron.

Home
Profile