Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Angular velocity of ceiling fan depends upon (i) applied voltage (V), (ii) resistance of coil of
fan (R), (iii) mass of fan(m) & (iv) length of fan-blades ( λ ). [(V) = ML 2 T –3 A –1 , R = V/i (i : current)]
(i) Angular velocity of fan is proportional to–
Text Solution
Verified by ExpertsThe correct answer is:
D
(i)
Sol. R –1/3
(ii)
Sol. 4
(iii)
Sol. Het ω ∝ V a ∝ R
b ∝ M
c ∝ λ
d ⇒ ω = k V
a R b m c λ d Equating power of same base in dimensional formula of L.H.S. & R.H.S and solving.
a = 
, b = 
, c = 
, d = 
Hence ω ∝ V
2/3 ∝ R
–1/3
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