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

A particle is performing S.H.M. with an amplitude 4 cm . At the mean position the velocity of the particle is $12 \mathrm{~cm} / \mathrm{s}$. When the speed of the particle becomes $6 \mathrm{~cm} / \mathrm{s}$, the distance of the particle from mean position is

A
$\sqrt{3} \mathrm{~cm}$
B
$\sqrt{6} \mathrm{~cm}$
C
$2 \sqrt{3} \mathrm{~cm}$
D
$2 \sqrt{6} \mathrm{~cm}$
2
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The maximum velocity and maximum acceleration of a particle performing a linear S.H.M. is ' $\alpha$ ' and ' $\beta$ ' respectively. Then the path length of the particle is

A
$\frac{\alpha^2}{\beta}$
B
$\frac{\beta \alpha^2}{2 \alpha^2}$
C
$\frac{2 \alpha^2}{\beta}$
D
$\frac{2 \beta}{\alpha^2}$
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A mass ' $m$ ' attached to a spring oscillates with a period of 3 second. If the mass is increased by 0.6 kg , the period increases by 3 second. The initial mass ' $m$ ' is equal to

A
0.1 kg
B
0.2 kg
C
0.3 kg
D
0.4 kg
4
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The velocity of particle executing S.H.M. varies with displacement $(\mathrm{x})$ as $4 \mathrm{~V}^2=50-\mathrm{x}^2$. The time period of oscillation is $\frac{x}{7}$ second. The value of ' $x$ ' is (Take $\pi=\frac{22}{7}$)

A
22
B
44
C
66
D
88
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