Correct Answer - Option 4 : 2 times
Concept:
Power is given by;
\(% MathType!Translator!2!1!AMS LaTeX.tdl!AMSLaTeX! % MathType!MTEF!2!1!+- % feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qacaWGqbGaeyypa0ZaaSaaa8aabaWdbiaaikdacqaHapaCcaWGobGa % amivaaWdaeaapeGaaGOnaiaaicdaaaaaaa!3DDF! P = \frac{{2π NT}}{{60}}\)\(P = \frac{{2\pi NT}}{{60}}\)
Where P is in watt
N = Angular velocity
T = Torque
Calculation:
Given,
T' = 2T
\(P \propto T\)
\(\frac{{P'}}{P} = \frac{{T'}}{T} = \frac{{2T}}{T}\) ⇒ P' = 2P
So, If the horse power of a shaft subjected to torque alone is doubled, horse power can be increased 2 times.