A raindrop of mass - 1 g- falling from a height of - 1 km- hits the ground with a speed of - 50 ms-1- Which of the following statements is correct-Take - g - 10 ms-2-The loss of potential energy of the drop in - 10 J-The gain in kinetic energy of the drop is - 1-25 J-The gain in kinetic energy of the drop is not equal to the loss of potential energy of the dropAll of these

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

Byju's Answer

Standard XII

Physics

1st Law of Thermodynamics

A raindrop of...

Question

A raindrop of mass $1 g$ falling from a height of $1 k m$ hits the ground with a speed of $50 m s^{- 1}$ . Which of the following statements is correct?
(Take $g = 10 m s^{- 2})$ .

The loss of potential energy of the drop in

10 J

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

The gain in kinetic energy of the drop is

1.25 J

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

The gain in kinetic energy of the drop is not equal to the loss of potential energy of the drop

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

All of these

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

Open in App

Solution

The correct option is B The gain in kinetic energy of the drop is $1.25 J$
$K . E$ at ground =loss of potential energy
$\frac{1}{2} m v^{2}$ =loss of potential energy
$\frac{1}{2} \times 1 \times 10^{- 3} \times 50^{2}$ =loss of potential energy
$\frac{1}{2} \times 10^{- 3} \times 2500$ =loss of potential energy
$1.25 j$ loss of potential energy=Gain of $K . E$

Suggest Corrections

Similar questions

Q. A raindrop of mass

1 g

falling from a height of

1 k m

hits the ground with a speed of

50 m s^{- 1}

. If the resistive force is proportional to the speed of the drop, then the work done by the resistive force is (Take

g = 10 m s^{- 2})

Q. 1) A raindrop of mass

1.00 g

falling from a height of

1 k m

hits the ground with a speed of

50 m / s

. Calculate

(A) the loss of

P . E

. of the drop. Take

g = 10 m / s^{2}

2) A raindrop of mass

1.00 g

falling from a height of

1 k m

hits the ground with a speed of

50 m / s

. Calculate

(B) the gain in

K . E .

of the drop. Take

g = 10 m / s^{2}

3) A raindrop of mass

1.00 g

falling from a height of

1 k m

hits the ground with a speed of

50 m / s

. Calculate

(C) Is the gain in

K . E

. equal to loss of

P . E

? If not why. Take

g = 10 m / s^{2}

Q. A raindrop falling from a height ℎ above ground, attains a near terminal velocity when it has fallen through a height . Which of the diagrams shown in figure correctly

(\frac{3}{4} h)

shows the change in kinetic and potential energy of the drop during its fall up to the ground?

Q. A tv tower is 40m high.A mass of

5 k g

is dropped from its top . calculate the potential energy at the top and kinetic energy just before it hits the ground

(

take

g = 10 m / s^{2})

Q. For an object, dropped from a height of 16 m, the ratio of its kinetic energy and potential energy above the ground at half the height is

Join BYJU'S Learning Program

A raindrop of mass 1 g falling from a height of 1 km hits the ground with a speed of 50 ms−1. Which of the following statements is correct?(Take g=10 ms−2).

The correct option is B The gain in kinetic energy of the drop is 1.25 JK.E at ground =loss of potential energy12mv2=loss of potential energy12×1×10−3×502=loss of potential energy12×10−3×2500=loss of potential energy1.25j loss of potential energy=Gain of K.E

A raindrop of mass $1 g$ falling from a height of $1 k m$ hits the ground with a speed of $50 m s^{- 1}$ . Which of the following statements is correct?
(Take $g = 10 m s^{- 2})$ .