A particle of mass m is projected vertically upwards from point - on the ground- The ratio of potential energy at point A and potential energy at B is

Let, nbsp; PE_A = Potential Energy at A PE_B = Potential Energy at B PE_A = mgH ...(i) PE_B = mg ( H3 ) ...(ii) nbsp;Dividing both the equation (i) and ( ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Physics

Potential Energy

A particle of...

Question

A particle of mass $m$ is projected vertically upwards from point $Δ$ on the ground. The ratio of potential energy at point $A$ and potential energy at $B$ is

1 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $3 : 1$
Let, $P E_{A}$ = Potential Energy at $A$
$P E_{B}$ = Potential Energy at $B$

$P E_{A} = m g H . . . (i)$
$P E_{B} = m g (\frac{H}{3}) . . . (i i)$
Dividing both the equation $(i)$ and $(i i)$
$\Rightarrow \frac{P E_{A}}{P E_{B}} = \frac{m g H}{m g (\frac{H}{3})} = 3$

Hence option D is the correct answer

Suggest Corrections

Similar questions

Q. A particle of mass

m

is projected vertically upwards from point

Δ

on the ground. The ratio of potential energy at point

A

and potential energy at

B

Q. A particle of mass

5 kg

is projected vertically upwards from point

D

on the ground. The ratio of potential energy at point

B

and at point

A

is (take point D as reference)

Q. Two balls of same mass are projected with the same speed one vertically upwards and the other at angle

60^{\circ}

with the vertical. The ratio of their potential energy at the highest point is

Q. When a body is projected vertically up from the ground with certain velocity, its potential energy and kinetic energy at a point

A

are in the ratio

2 : 3

. If the same body is projected with double the previous velocity, then at the same point

A

the ratio of its potential energy to kinetic energy is

Q. A body of mass 10 kg projected vertically upward from the ground has potential energy 580 joules and kinetic energy 1380 joules at a certain point in its path. The velocity of projection of the body must be

Join BYJU'S Learning Program

A particle of mass m is projected vertically upwards from point Δ on the ground. The ratio of potential energy at point A and potential energy at B is

The correct option is D 3:1Let, PEA = Potential Energy at A PEB = Potential Energy at B PEA=mgH ...(i) PEB=mg(H3) ...(ii) Dividing both the equation (i) and (ii) ⇒PEAPEB=mgHmg(H3)=3 Hence option D is the correct answer

A particle of mass $m$ is projected vertically upwards from point $Δ$ on the ground. The ratio of potential energy at point $A$ and potential energy at $B$ is