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

Options

A. If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion. `
B. If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.
C. If Assertion is True but the Reason is False.
D. If both Assertion & Reason are false.

Answer

(A) PQ, (B) RS, (C) RS, (D) RS

Explanation

Match the column
(A) `F=(GM_(e)M_(s))/R^(2)`
`GM_(e)M_(s)=FxxL^(2)= "Work" xx "Metre"`
`= "Coulomb" xx "Volt" xx "Metre"`
`=ML^(2)T^(-2) xx "Metre"=(kg)("Metre")^(3)(S)^(-2)`
(B) `3/2 RT=` kinetic energy
`(3RT)/(M)=v^(2) rArr ("Metre")^(2)(S)^(-2)`
`1/2 QV=` Energy
`rArr (QV)/(M)=("Energy")/(m)=(("farad")("volt")^(2))/(kg)`
(C) `F^(2)/(q^(2)B^(2))=(q^(2) in^(2))/(q^(2)B^(2))rArr (in/B)^(2)=v^(2) rArr (r, s)`
(D) `(GMe)/R=("Work dome")/("Mass")rArr ("Velocity")^(2)rArr (r, s)`