MCQ
Among the four graph shown in the figure there is only one graph for which average velocity over the time interval $(0, T)$ can vanish for a suitably chosen $T$. Which one is it?
- ✓
- B
- C
- D
✓
Answer
Correct option: A.
a
(a)
(a)
In graph $(b)$ for one value of displacement there are two different points of time. Hence, for one time, the average velocity is positive and for other time is equivalent negative.As there are opposite velocities in the interval $0$ to $T$, hence average velocity can vanish in $(b)$.This can be seen in the figure given Here, $O A=B T$ (same displacement) for two different points of time.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The temperature of an ideal gas is increased from $200\,K$ to $800\,K$. If r.m.s. speed of gas at $200\,K$ is $v_0$. Then, r.m.s. speed of the gas at $800\,K$ will be:
→The work done in doubling the radius of a soap bubble of radius $2\,cm$ will be ( $S.T.$ of soap solution $= 30\,dyne/cm$ )
→The variation of displacement with time of a particle executing free simple harmonic motion is shown in the figure. The potential energy ${U}({x})$ versus time $({t})$ plot of the particle is correctly shown in figure:
→A wheel completes $2000$ revolutions to cover the $9.5\, km$. distance. then the diameter of the wheel is
→A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant
Four rods of indentical cross-sectional area and made from the same metal form the sides of a square. The temperature of two diagonally opposite points are $\theta$ and $\sqrt2 \theta$ respectively in the teady state. Assuming that only heat conduction takes place, what will be the temperature difference between other two points ?
→A faulty thermometer has its fixed points marked $5^o$ and $95^o$. This thermometer reads the temperature of a body as $59^o$. Then the correct temperature of the body on celsius scale is ........ $^o$
→A body is moving in a low circular orbit about a planet of mass $M$ and radius $R$. The radius of the orbit can be taken to be $R$ it self. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is
→A student plotted the following four graphs representing the variation of velocity of sound in a gas with the pressure $P$. Which one is correct
→According to first law of thermodynamics: