Student Login

Home›Chapters›Work, Energy and Power PYQs›Power›Question 41

NEET 2012 (AIPMT, Mains) · Power

Power question from NEET 2012 (AIPMT, Mains)

Q41NEET 2012 · AIPMT · MAINSEasy

Power

A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P0. The instantaneous velocity of this car is proportional to

Show answer and solution

Answer: (b)

$P_0 = mv\dfrac{dv}{dt} \Rightarrow \int_0^v v\,dv = \dfrac{P_0}{m}\int_0^t dt$ .
$v^2 = \dfrac{2P_0 t}{m} \Rightarrow v = \sqrt{\dfrac{2P_0}{m}}\,t^{1/2}$
So the answer is (b) $t^{1/2}$ .

Report a mistake

More questions on Power

A body projected vertically from the earth reaches a height equal to earth's radius…NEET 2011 (AIPMT, Prelims)
A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed…NEET 2010 (AIPMT, Mains)
An engine pumps water through a hose pipe. Water passes through the pipe and leaves it…NEET 2010 (AIPMT, Prelims)
An engine pumps water continuously through a hose. Water leaves the hose with a velocity…NEET 2009 (AIPMT)
Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses…NEET 2008 (AIPMT)
A body of mass m is accelerated uniformly from rest to a speed v in a time T. The…JEE Main 2005 (AIEEE)
A body of mass 'm', accelerates uniformly from rest to 'v₁' in time T. The instantaneous…JEE Main 2004 (AIEEE)
A body is moved along a straight line by a machine delivering a constant power. The…JEE Main 2003 (AIEEE)