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Q.

Consider a body moving along a circular path of radius R. Given some statements :-
a) The acceleration of the body is directed towards the centre 
b) The acceleration of the body is directed towards the tangent. 
c) One of the forces acting on the body must be variable in nature. 
d) The radial acceleration of the body is non-zero. 
Which of the statements are always true? 

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a

c, d

b

b, c, d

c

a, b, c, d

d

a, b, d

answer is D.

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Detailed Solution

For non-uniform circular motion the total acceleration will be the resultant of radial and tangential. So it need not be directed towards the centre but for the radial acceleration we need a variable force as the acceleration is always directed towards the center.

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Consider a body moving along a circular path of radius R. Given some statements :-a) The acceleration of the body is directed towards the centre b) The acceleration of the body is directed towards the tangent. c) One of the forces acting on the body must be variable in nature. d) The radial acceleration of the body is non-zero. Which of the statements are always true?