1. Power to some number is dimensionaless like power to exponential(e) is dimensionless like in equation for radioactive decay e has power

-lambda. t so the power, (-lambda. t)  is dimensionless.

2. If product of two quantities is dimensionless then both will have Dimension formula as inverse of each others, like in above case lambda will have DF inverse to that of t so DF of lambda is T-1 (T inverse ) or 1/T

3. Quantities which are ratio of similar quantities are dimensionless, e.g. relative density is ratio of density of material and density of water so relative density will have no DF(Dimensional Formula), in the same way the refractive index of a material is ratio of two velocities (that is velocity upon velocity )so it is dimensionless and poisson's ratio is the ratio of lateral strain to longitudinal strain so it is dimensionless.  SO IF YOU KNOW SOME FORMULA INVOLVING THE QUANTITY, YOU ARE NOT REQUIRED TO MEMORIZE THE DFs.

4. If two quantities are added/substracted or equated (+ - or =) they will  have same dimensional formula.

5. DF for time, total time, time duration (delta t) is same [ T ]

6. DF for velocity, speed, average speed, average velocity, change in velocity is same to that of [L] upon [T]

Best Wishes

"No" it is has only unit (radian) not DF

Approach-

Step 1. formula-   plane angle is the ratio of the lenth of arc and the radius of the circle of which the arc is a part

Step 2. DF of each paramter in the formula, as arc and radius both are a type of length or in other words "both" have dimention of length so their ratio becomes dimensionless.

Answer is "No"

Explanation- EM waves are consist of photons which are "chargeless"  quanta of energy so no deflection in EM field.

Approch to solve the problem above-

step-1   necessary condition for deflection is to feel (acted upon) some force in direction other than direction of motion.

step-2 for EM field to exert force the entity should be having some charge

step-3 entities making up EM waves are photons which are "chargeless"

No charge so No force so No deflection.

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