A particle is released from a height of S above the surface of the earth. At a certain height, its kinetic energy is three times its potential energy. The distance from the earth's surface and the speed of the particle at that instant are respectively: 

1. S2, 3gS2

2. S4, 3gS2

3. S4, 3gS2

4. S4, 3gS2

Subtopic:  Conservation of Mechanical Energy |
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When an object is shot from the bottom of a long, smooth inclined plane kept at an angle of 60° with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30° and the same object is shot with the same velocity, it can travel x2 distance. Then x1:x2 will be:

1. 1:23

2. 1:2

3. 2:1

4. 1:3

Subtopic:  Conservation of Mechanical Energy |
To view explanation, please take trial in the course below.
NEET 2023 - Target Batch - Aryan Raj Singh
To view explanation, please take trial in the course below.
NEET 2023 - Target Batch - Aryan Raj Singh
Please attempt this question first.
Launched MCQ Practice Books

Prefer Books for Question Practice? Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot

NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology