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Q.

Assertion : An object has been given two velocities v1 and v2, then it has a resultant velocity v =v1+v2.

Reasonv1 and v2 should be velocities with reference to some common reference frame.

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a

Both assertion and reason are true and reason is the correct explanation of assertion.

b

Both assertion and reason are false.

c

Both assertion and reason are true but reason is not the correct explanation of assertion. 

d

Assertion is true but reason is false.

answer is B.

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Detailed Solution

The resultant of the two velocities v1 and v2 is the vector addition using parallelogram law of vector addition. v =v1+v2 

Both of the velocities must be from same frame of reference, for example: if a object is given two velocities and if one of the velocity is measured from a moving frame of reference and other from a stationary frame of reference. the addition of these velocities will not give the correct value of velocity of object.

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Assertion : An object has been given two velocities v1→ and v2→, then it has a resultant velocity v →=v1→+v2→.Reason : v1→ and v2→ should be velocities with reference to some common reference frame.