The distance travelled by a body moving along a line in time t is...

The distance travelled by a body moving along a line in time

t

is proportional to

t^3

. The acceleration-time

(a, t)

graph for the motion of the body will be The distance travelled by a body moving along a line in time t is proportional to t^3 . The acceleration-time (a, t)

The distance travelled by a body moving along a line in time t is proportional to t^3 . The acceleration-time (a, t)

Options

Correct answer

B. One mole of an ideal gas at 300K in thermal contact with its surroundings expands isothermally from 1 . 0L to 2 . 0L

Step-by-step solution

Distance along a line i.e., displacement (

s

)

=t^3\left(\because s \propto t^3\right.

given

)

By double differentiation of displacement, we get acceleration.

V=\frac{d s}{d t}=\frac{d t^3}{d t}=3 t^2 and

\begin{aligned}& a=\frac{d v}{d t}=\frac{d 3 t^2}{d t}=6 t \\ & a=6 t \text{\text{ or } }a \propto t \end{aligned}

$Hence graph (b) is correct.

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