Q.

For central force field :(1) Torque is zero about the central force field.(2) Angular momentum is conserved about any point in central force field.(3) Force is position dependent.(4) Force is conservative.

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a

only (1) and (2)

b

only (1), (2) and (4)

c

only (1), (3) and (4)

d

(1), (2), (3) and (4)

answer is D.

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Detailed Solution

For central force field F→=f(r)r^Torque τ→=r→×F→=r→×f(r)r^=0→Angular momentum τ→=dL→dt=0→⇒L→=constantEvery central force is position dependent and conservative in nature.

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For central force field :(1) Torque is zero about the central force field.(2) Angular momentum is conserved about any point in central force field.(3) Force is position dependent.(4) Force is conservative.