Assertion: The dot product of one vector with another vector may be scalar or a vector.
Reason: If the product of two vectors is a vector quantity, then product is called a dot product.

Options

A. (a) Both assertion and reason are correct and reason is the correct explanation for assertion.
B. (b) Both assertion and reason are correct and reason is not the correct explanation for assertion.
C. (c) Assertion is correct but reason is incorrect.
D. (d) Both assertion and reason are incorrect.

Answer

C

Explanation

(P) Boltzmann constant
`("Energy")/("Temperature")=(ML^(2)T^(-2))/(K)=[ML^(2)T^(-2)K^(-1)]`
(Q) Coefficient of viscosity `(eta)`:
`eta=(Fdeltax)/(A Delta V)`,
`[eta]=([MLT^(-2)][L])/([L^(2)][LT^(-1)])=[ML^(-1)T^(-1)]`
(R) Plank constant (h) :
`E=hv, [h]=([ML^(2)T^(-2)])/([T^(-1)])=[ML^(2)T^(-1)]`
(S) Thermal conductivity
`K=(DeltaQ l)/(Deltat (A theta))`
`[K]=([ML^(2)T^(-2)][L])/([T][L^(2)][K])=MLT^(-3)K^(-1)`