Verified Solution • 2025–26 Session moderate

QJEEM17Ph4897: JEE Main 2017 Physics - Class 11 JEEM17Ph4897 Solution: Time (T), velocity (C) and angular momentum (h) are chosen as…

Time (T), velocity (C) and angular momentum (h) are chosen as fundamentalquantities instead of mass, length and time. In terms of these, the dimensions of mass would be :

Multiple Choice Options

  • A [M] = [T −- 1 C −- 2 h]
  • B [M] = [T −- 1 C2 h]
  • C [M] = [T −- 1 C −- 2 h −- 1]
  • D [M] = [T C −- 2 h]

Step-by-Step Verified Solution

Let,

M ∝\propto Tx Cy hz

∴   \therefore\,\,\, [M1LoTo]  =  [T1]x  [L1 T −- 1]y  [M1L2T −- 1]z

[M1Lo To]  =  [Mz Ly + 2z Tx −- y −- z]

By comparing both sides we get,

z = 1

y + 2z = 0

x −- y −- z = 0

∴   \therefore\,\,\, y = −- 2z = −- 2

x = y + z = −- 2 + 1 = −- 1

∴   \therefore\,\,\, [M] = [M −- 1 C −- 2 h1]

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