MCQ
The physical quantity which has dimensional formula as that of $\frac{{{\rm{Energy}}}}{{{\rm{Mass}} \times {\rm{Length}}}}$ is
- AForce
- BPower
- CPressure
- ✓Acceleration
✓
Answer
Correct option: D.
Acceleration
d
(d) $\frac{{{\rm{Energy}}}}{{{\rm{mass}} \times {\rm{length}}}} = \frac{{[M{L^2}{T^{ - 2}}]}}{{[M]\,[L]}} = [L{T^{ - 2}}]$
(d) $\frac{{{\rm{Energy}}}}{{{\rm{mass}} \times {\rm{length}}}} = \frac{{[M{L^2}{T^{ - 2}}]}}{{[M]\,[L]}} = [L{T^{ - 2}}]$
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 magnitude of the displacement is equal to the distance covered in a given interval of time if the particle
A source $(S)$ of sound has frequency $240 \ Hz$. When the observer $(O)$ and the source move towards each other at a speed $v$ with respect to the ground (as shown in Case $1$ in the figure), the observer measures the frequency of the sound to be $288 \ Hz$. However, when the observer and the source move away from each other at the same speed $v$ with respect to the ground (as shown in Case $2$ in the figure), the observer measures the frequency of sound to be $n Hz$. The value of $n$ is. . . . . .
→$1\,kg$ of water at $100\, ^{\circ}C$ is converted into steam at $100^{\circ}\,C$ by boiling at atmospheric pressure. The volume of water changes from $1.00 \times 10^{-3}\,m ^3$ as a liquid to $1.671\,m ^3$ as steam. The change in internal energy of the system during the process will be $........kJ$ (Given latent heat of vaporisaiton $=2257\,kJ / kg$. Atmospheric pressure $=1 \times 10^5\,Pa$ )
→A body of mass $2 \,kg $ collides with a wall with speed $100\, m/s$ and rebounds with same speed. If the time of contact was $1/50 \,second$, the force exerted on the wall is
→A man standing on a road hold his umbrella at $30^° $ with the vertical to keep the rain away. He throws the umbrella and starts running at $10\, km/hr$. He finds that raindrops are hitting his head vertically, the speed of raindrops w.r.t. the moving man, will be
→A particle moves in a circular path of radius $R$ with an angular velocity $\omega = a -bt$ where $a$ and $b$ are positive constants and $t$ is time. The magnitude of the acceleration of the particle after time $\frac {2a}{b}$ is
→The component of vector $A = 2\hat i + 3\hat j$ along the vector $\hat i + \hat j$is
→If $y$ represents pressure and $x$ represents velocity gradient, then the dimensions of $\frac{d^2 y}{d x^2}$ are
→A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in $t_1$. If it is projected vertically downwards from the same point with the same speed, it reaches the ground in $t_2$. Time required to reach the ground, if it is dropped from the top of the tower, is:
→An electromagnetic wave going through vacuum is described by $\text{E}=\text{E}_0\sin(\text{kx}-\omega\text{t})$ which of the following is/are independent of the wavelength?
→