The potential energy of a particle varies with distance x from a fixed origin as where A and B are dimensional constants, then the dimensional formula for AB is

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Questions Match

1.
The potential energy of a particle varies with distance x from a fixed origin as where A and B are dimensional constants, then the dimensional formula for AB is

1. 2. 3. 4.

2.
Two springs of spring constant 1500 N/m and 3000 N/m respectively are stretched with the same force. They will have the potential energy in ratio

1. 4 : 12. 1 : 43. 2 : 14. 1 : 2

3.
Potential energy of certain spring when streched through x distance is 10 J. Amount of workdone on this spring to stretch it through a distance 2x will be

1. 30 J2. 40 J3. 10 J4. 20 J

4.
Potential energy of a body is given by, u = A – Bx². Magnitude of force acting on the particle is

1. Constant2. Proportional to x23. Proportional to x4. Inversely proportional to x

5.
Decrease in potential energy of a ball of mass 20 kg which falls from a height of 50 cm is

1. 968 J2. 98 J3. 1980 J4. None of these

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The potential energy of a particle varies with distance x from a fixed origin as  where A and B are dimensional constants, then the dimensional formula for AB is