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A particles is in a unidirectional poten...

A particles is in a unidirectional potential field where the potential energy (U) of a partivle depends on the x-coordinate given by `U_(x)=k(1-cos ax)` & and 'a' are constant. Find the physical dimensions of 'a' & k.

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The correct Answer is:
`L^(-1),ML^(2)T^(-2)`
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ALLEN-UNIT & DIMENSIONS, BASIC MATHS AND VECTOR -Exercise (S-1)
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  2. The equation for the speed of sound in a gas states that v=sqrt(gammak...

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  3. The time period (T) of a spring mass system depends upon mass (m) & s...

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  4. The distance moved by a particle in time from centre of ring under th...

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  5. A satellite is orbiting around a planet. Its orbital velocity (V(0)) i...

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  6. Assume that the largest stone of mass 'm' that can be moved by a flowi...

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  7. Given vecF=(veca)/(t) where symbols have their usual meaning. The dime...

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  8. A block is applied two forces of magnitude 5N each. One force is actin...

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  9. Two forces act on a particle simultaneously as shown in the figure. F...

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  10. The maximum and minimum magnitudes of the resultant of two forces are ...

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  11. Three forces of magnitudes 2N, 3N and 6N act at corners of a cube alon...

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  12. The farm house shown in figure has rectangular shape and has sides par...

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  13. Vector B has x,y and z components of 4.00,6.00 and 3.00 units, respect...

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  14. Three ant P,Q and R are pulling a grain with forces of magnitude 6N,3s...

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  15. Three boys are pushing horizontally a box placed on horizontal table. ...

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  16. Consider the two vectors : vecL=1hati+2hatj+3hatk " and " vecl=4hati+h...

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  17. Find component of vector vec(a)=hati+hatj+3hatk in directions parallel...

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  18. (a) Calculate vecr=veca-vecb+vecc where veca=5hati+4hatj-6hatk, vecb=-...

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  19. If the velocity of a particle is (2hati+3hatj-4hatk) and its accelerat...

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  20. Quito, a city in Ecuador and Kampala, a city situated in Uganda both l...

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