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. `P=3, Q=1, R=2, S=4`
B. `P=3, Q=2, R=1, S=4`
C. `P=4, Q=2, R=1, S=3`
D. `P=4, Q=1, R=2, S=3`

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)`