Home
Class 11
PHYSICS
A length -scale (l) depends on the permi...

A length -scale (l) depends on the permittivity `(epsilon)` of a dielectric material, Boltzmann constant `(k_(B))`, the absolute temperature (T), the number pr unit volume (n) of certain charged paticles, and the charge (q) carried by each of the particles. Which of the following expression for l is dimensionally correct?

A

`l = sqrt((nq^(2))/(epsilonk_(B)T))`

B

`l = sqrt((epsilonk_(B)T)/(nq^(2))`

C

`l = sqrt((q^(2))/(epsilon^(2/3)k_(B)T))`

D

`l = sqrt((q^(2))/(epsilonk_(B)T))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise TEXTBOOK QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS)|5 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise TEXTBOOK QUESTIONS SOLVED ( LONG ANSWER QUESTIONS)|5 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos

  • MOTION OF SYSTEM OF PARTICLES AND RIGID BODIES

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED - III (LONG ANSWER QUESTIONS (5 MARKS))|6 Videos

  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (IV NUMERICAL PROBLEMS )|10 Videos

Similar Questions

Explore conceptually related problems

A rod of length 2 units whose one end is (1,0,-1) and other end touches the plane x-2y=2Z+4=0, then a. the rod sweeps the figure whose volume is b .pic . d. cubic units. e. the area of the region which the rod traces on the plane is f . g.2pih . i. j. the length of projection of the rod on the plane is k . l.sqrt(m .3n .)o.p . q. units. r. the centre of the region which the rod traces on the plane is s . t.(u . v. w.2/x .3y . z. , aa.2/b b .3c c . dd. ,-e e .5/f f .3g g . hh. ii.)dotj j . kk.

Consider a set of points R in the space which is at a distance of 2 units from the line x/1=(y-1)/(-1)=(z+2)/2 between the planes x-y+2z+3=0a n dx-y+2z=0. a. The volume of the bounded figure by points b . R c. d. and the planes is e . f.(g . h. 103sqrt(i .3j .)k . l.)pim . n. cube units. o. The area of the surface formed by the set of points p . R q. r. is s . t.(u . v. 20pi//sqrt(w .6x .)y . z.)a a . bb. sq. units. cc. The volume of the bounded figure by the set of points d d . R ee. ff. and the planes is g g . hh.(i i . jj. 20pi//sqrt(k k .6l l .)m m . nn.)o o . pp. cubic units. qq. The area of the curved surface formed by the set of points r r . R ss. tt. is u u . vv.(w w . xx. 10//sqrt(y y .3z z .)a a a . bbb.)pic c c . ddd. sq. units.