1
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

If units of mass, length and gravitational constant are chosen to fundamental units, the dimensions of time would be

A
$$ \mathrm{M}^{1 / 2} \mathrm{~L}^{1 / 2} \mathrm{G}^{-1 / 2} $$
B
$$ \mathrm{M}^1 \mathrm{~L}^{1 / 2} \mathrm{G}^2 $$
C
$$ \mathrm{M}^{-1 / 2} \mathrm{~L}^{3 / 2} \mathrm{G}^{-1 / 2} $$
D
$$ \mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{G}^{-1} $$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Which of the given dimensional formula represents heat capacity

A
$$\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]$$
B
$$\left[\mathrm{ML}^2 \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right]$$
C
$$\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-2}\right]$$
D
$$\left[\mathrm{MLT}^{-2} \mathrm{~K}^{-1}\right]$$
3
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

Find the value of '$$n$$' in the given equation $$P=\rho^n v^2$$ where '$$P$$' is the pressure, '$$\rho$$' density and '$$v$$' velocity.

A
$$\mathrm{n}=\frac{1}{2}$$
B
$$\mathrm{n}=1$$
C
$$\mathrm{n}=3$$
D
$$\mathrm{n}=2$$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

The time dependence of a physical quantity P is give by $$\mathrm{P=P}_0 \exp \left(-\alpha t^2\right)$$ where $$\alpha$$ is a constant and $$t$$ is time. The constant $$\alpha$$ will

A
Have dimensions as that of $$\mathrm{P}$$
B
Have dimensions equal to that of $$\mathrm{Pt}^2$$
C
Have no dimensions
D
Have dimensions of $$t^{-2}$$
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