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Assertion: Adding a scalar to a vector o...

Assertion: Adding a scalar to a vector of the same dimensions is a meaningful algebraic operation.
Reason: The displacement can be added with distance.

A

Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-I

B

Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-I

C

Statement-I is true, Statement-II is false.

D

Statement-I is false and Statement-II is true.

Text Solution

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The correct Answer is:
A
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Distance is a scalar quantity. Displacement is a vector quqntity. The magnitude of displacement is always less than or equal to distance. For a moving body displacement can be zero but distance cannot be zero. Same concept is applicable regarding velocity and speed. Acceleration is the rate of change of velocity. If acceleration is constant, then equations of kinematics are applicable for one dimensional motion under the gravity in which air resistance is considered, then the value of acceleration depends on the density of medium. Each motion is measured with respect of frame of reference. Relative velocity may be greater // smaller to the individual velocities. A particle moves from A to B. Then the ratio of distance to displacement is :-

Distance is a scalar quantity. Displacement is a vector quqntity. The magnitude of displacement is always less than or equal to distance. For a moving body displacement can be zero but distance cannot be zero. Same concept is applicable regarding velocity and speed. Acceleration is the rate of change of velocity. If acceleration is constant, then equations of kinematics are applicable for one dimensional motion under the gravity in which air resistance is considered, then the value of acceleration depends on the density of medium. Each motion is measured with respect of frame of reference. Relative velocity may be greater // smaller to the individual velocities. A particle is moving along the path y=4x^(2) . The distance and displacement from x=1 to x=2 is (nearly) :-

ALLEN -MISCELLANEOUS-ASSERTION-REASON
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  2. Statement-I : When an algebraic equation has been derved, it is advisa...

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  4. Statement-I : Force cannot be added to pressure. Statement-II : Beca...

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  5. Assertion: If the initial and final positions coincide, the displaceme...

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  6. Discuss whether or not , angular displacement is a vector quantity ?

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  7. Assertion: A physical quantity can be regarded as a vector, if magnitu...

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  8. Assertion: Adding a scalar to a vector of the same dimensions is a mea...

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  9. Assertion: Minimum number of non-equal Vectors in a plane required to ...

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  10. Assertion: The dot product of one vector with another vector may be sc...

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  11. Statement-I : The angle between vectors vec(A)xxvec(B) and vec(B)xxvec...

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  12. Statement-1 : If a point charge q is placed in front of an inifinite g...

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  13. Statement-1 : When two charged spheres are touched then total charge i...

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  15. Statement-1 : A conducting sphere charged upto 50V is placed at the ce...

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  16. Statement-1: When a charged particle is placed in the cavity in a cond...

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  17. Statement-1 : If two concentric conducing sphere which are connected b...

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