1
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A tube of uniform bore of cross-sectional area ' $A$ ' has been set up vertically with open end facing up. Now ' $M$ ' gram of a liquid of density ' $d$ ' is poured into it. The column of liquid in this tube will oscillate with a period ' T ', which is equal to [ $g=$ acceleration due to gravity]

A
$2 \pi \sqrt{\frac{\mathrm{MA}}{\mathrm{gd}}}$
B
$2 \pi \sqrt{\frac{\mathrm{M}}{2 \mathrm{Adg}}}$
C
$2 \pi \sqrt{\frac{M}{g}}$
D
$2 \pi \sqrt{\frac{M}{g d A}}$
2
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A spring has a certain mass suspended from it and its period of vertical oscillations is $T_1$. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now $\mathrm{T}_2$. The ratio of $T_2 / T_1$ is

A
$1: 2$
B
$1: \sqrt{2}$
C
$\sqrt{2}: 1$
D
$2: 1$
3
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

For a body performing simple harmonic motion, its potential energy is $\mathrm{E}_{\mathrm{x}}$ at displacement x and $\mathrm{E}_{\mathrm{y}}$ at displacement y from mean position. The potential energy $E_0$ at displacement $(x+y)$ is

A
$\sqrt{\mathrm{E}_{\mathrm{x}}^2+\mathrm{E}_{\mathrm{y}}^2}$
B
$\sqrt{E_x-E_y}$
C
  $E_x+E_y$
D
$E_x+E_y+2 \sqrt{E_x E_y}$
4
MHT CET 2024 2nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The displacement of a particle performing S.H.M. is given by $Y=A \cos [\pi(t+\phi)]$. If at $\mathrm{t}=0$, the displacement is $\mathrm{y}=2 \mathrm{~cm}$ and velocity is $2 \pi \mathrm{~cm} / \mathrm{s}$, the value of amplitude $A$ in cm is

A
2
B
$\sqrt{2}$
C
$2 \sqrt{2}$
D
$\frac{1}{\sqrt{2}}$
MHT CET Subjects
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