Verified Solution • 2025–26 Session
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QJEEM20Ph1d82: JEE Main 2020 Physics - Class 11 JEEM20Ph1d82 Solution: If speed V, area A and force F are chosen as fundamental units, …
If speed V, area A and force F are chosen as fundamental units, then the dimension of Young’s modulus will be
Multiple Choice Options
- A FA–1V0
- B FA2V–1
- C FA2V–2
- D FA2V–3
Step-by-Step Verified Solution
Y = k [F]x [A]y [V]z
[M1L1T –2] = [MLT–2]x [L2]y [LT–1]z
[M1L1T –2] = [M]x [L]x+2y+z[T]–2x–z
Comparing power of M, L and T
x = 1 ……(1)
x + 2y + z = –1 ……(2)
–2x – z = –2 ……(3)
After solving
x = 1
y = –1
z = 0
[M1L1T –2] = [MLT–2]x [L2]y [LT–1]z
[M1L1T –2] = [M]x [L]x+2y+z[T]–2x–z
Comparing power of M, L and T
x = 1 ……(1)
x + 2y + z = –1 ……(2)
–2x – z = –2 ……(3)
After solving
x = 1
y = –1
z = 0