A body of mass accelerates uniformly from rest   to \nu _{1}  in time t_{1}  The instantaneous power delivered to the body as a function of time t is

Option 1)

\frac{m\nu _{1}t}{t_{1}}

Option 2)

\frac{m\nu{_{1}}^{2}t}{t{_{1}}^{2}}

Option 3)

\frac{m\nu{_{1}}t^{2}}{t{_{1}}}

Option 4)

\frac{m\nu{_{1}}^{2}t}{t_{1}}

Answers (2)

As we learnt in

Power if the force is constant -

P=\frac{dw}{dt}= P= \vec{F}\cdot \vec{v}

- wherein

\vec{F}\rightarrow force

\vec{v}\rightarrow velocity

 

 Initial velocity = 0 

Final velocity = v1

Time taken = t1

Acceleration =\frac{v_{1}}{t_{1}}

\therefore    velocity at time t=(\frac{v_{1}}{t_{1}})t

Power delivered at time t

    = F. v

    = ma .v 

P=m(\frac{v_{1}}{t_{1}}).(\frac{v_{1}}{t_{1}})t

P=m\frac{v_{1}^{2}}{t_{1}^{2}} t

Correct answer is 2

 


Option 1)

\frac{m\nu _{1}t}{t_{1}}

This is an incorrect option.

Option 2)

\frac{m\nu{_{1}}^{2}t}{t{_{1}}^{2}}

This is the correct option.

Option 3)

\frac{m\nu{_{1}}t^{2}}{t{_{1}}}

This is an incorrect option.

Option 4)

\frac{m\nu{_{1}}^{2}t}{t_{1}}

This is an incorrect option.

N neha

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions