Q.

The pair of quantities having the same dimensions is

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

Impulse and Surface Tension

b

Angular momentum and Work

c

Young's modulus and Energy

d

Work and Torque

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

detailed_solution_thumbnail

 [work]=ML2T2, [Torque]=[r×F]=LMLT2=ML2T2

So, work and torque have same dimensional formula

(1) Impulse:[F×t]=MLT2×T=MLT1

[Surface tension]  =[F][L]=[MLT2][L]=[MT2]

(2) Angular momentum:

[mor]=MLT1L=ML2T1[work]=[F.S]=MLT2L=ML2T2

(4) Young’s modulus:

[Y]=[Stress][Strain]=[F]/[A]=MLT2L2=ML1T2

[Energy]=[F.S]=ML2T2

So, work and torque have same dimensional formula.

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon