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.

2.

3.

4.

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
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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 ${x}_{1}$ along the plane. But when the inclination is decreased to 30$°$ and the same object is shot with the same velocity, it can travel ${x}_{2}$ distance. Then ${x}_{1}$:${x}_{2}$ will be:

1. $1:2\sqrt{3}$

2. $1:\sqrt{2}$

3. $\sqrt{2}:1$

4. $1:\sqrt{3}$

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