1
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

When the tension in string is increased by $3 \mathrm{~kg} \omega \mathrm{t}$, the frequency of the fundamental mode increases in the ratio $2: 3$. The initial tension in the string is

A
$1.6 \mathrm{~kg} \omega \mathrm{t}$
B
$2.0 \mathrm{~kg} \omega \mathrm{t}$
C
$2.4 \mathrm{~kg} \omega \mathrm{t}$
D
$2.8 \mathrm{~kg} \omega \mathrm{t}$
2
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

In the system of two particles of masses ' $\mathrm{m}_1$ ' and ' $\mathrm{m}_2$ ', the first particle is moved by a distance 'd' towards the centre of mass. To keep the centre of mass unchanged, the second particle will have to be moved by a distance

A
$\frac{\mathrm{m}_2}{\mathrm{~m}_1} \mathrm{~d}$, towards the centre of mass.
B
$\frac{\mathrm{m}_1}{\mathrm{~m}_2} \mathrm{~d}$, away from the centre of mass.
C
$\frac{\mathrm{m}_1}{\mathrm{~m}_2} \mathrm{~d}$, towards the centre of mass.
D
$\frac{\mathrm{m}_2}{\mathrm{~m}_1} \mathrm{~d}$, away from the centre of mass.
3
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The potential energy of a long spring when it is stretched by 3 cm is ' $U$ '. If the spring is stretched by 9 cm , potential energy stored in it will be

A
3U
B
4U
C
5U
D
9U
4
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A thin uniform rod of length ' $L$ ' and mass ' $M$ ' is swinging freely along a horizontal axis passing through its centre. Its maximum angular speed is ' $\omega$ '. Its centre of mass rises to a maximum height of [ $\mathrm{g}=$ gravitational acceleration]

A
$\frac{\omega^2 \mathrm{~L}^2}{12 \mathrm{~g}^2}$
B
$\frac{\omega^2 L^2 g}{6}$
C
$\frac{\omega^2 g}{12 \mathrm{~L}^2}$
D
$\frac{\omega^2 L^2}{24 \mathrm{~g}}$
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