Assertion : The dimensional formula for relat | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) $1$. The relative velocity of an object $P$ with respect to $Q$ is defined as $\vec{v}_{PQ} = \vec{v}_P - \vec{v}_Q$. Since this is a vector subtr

Vedclass · Accepted Answer

If the Assertion is correct but Reason is incorrect.

Vedclass · Answer

(D) $1$. The relative velocity of an object $P$ with respect to $Q$ is defined as $\vec{v}_{PQ} = \vec{v}_P - \vec{v}_Q$. Since this is a vector subtraction of two velocities,the result is also a velocity. Therefore,its dimensional formula is $[M^0 L^1 T^{-1}]$,which is the same as that of velocity and the change in velocity $(\Delta v)$. Thus,the Assertion is correct.$2$. The Reason states that relative velocity is the ratio of velocities,which is physically incorrect. Relative velocity is defined as the difference between two velocities,not the ratio. Thus,the Reason is incorrect.

$Assertion$ : The dimensional formula for relative velocity is the same as that of the change in velocity.
$Reason$ : Relative velocity of $P$ with respect to $Q$ is the ratio of the velocity of $P$ and that of $Q$.

Similar Questions

The dimensional formula for the intensity of radiation is .......

Which one of the following is a dimensionless physical quantity?

Dimensions of luminous flux are

Given that $\int {e^{ax}} dx = a^m e^{ax} + C$,then which statement is incorrect (Dimension of $x = L^1$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$Assertion$ : The dimensional formula for relative velocity is the same as that of the change in velocity.$Reason$ : Relative velocity of $P$ with respect to $Q$ is the ratio of the velocity of $P$ and that of $Q$.