1
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle performs linear S.H.M. At a particular instant, velocity of the particle is ' $u$ ' and acceleration is ' $\alpha$ ' while at another instant, velocity is ' $v$ ' and acceleration is ' $\beta$ ' $(0<\alpha<\beta)$. The distance between the two positions is

A
$\frac{u^2-v^2}{\alpha+\beta}$
B
$\frac{u^2+v^2}{\alpha+\beta}$
C
$\frac{u^2-v^2}{\alpha-\beta}$
D
$\frac{u^2+v^2}{\alpha-\beta}$
2
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle executing S.H.M. has velocities ' $\mathrm{V}_1$ ' and ' $\mathrm{V}_2$ ' at distances ' $x_1$ ' and ' $x_2$ ' respectively, from the mean position. Its frequency is

A
$\frac{1}{2 \pi} \sqrt{\frac{V_1^2-V_2^2}{x_1^2-x_2^2}}$
B
$2 \pi \sqrt{\frac{x_1^2-x_2^2}{v_1^2-V_2^2}}$
C
$\frac{1}{2 \pi} \sqrt{\frac{V_2^2-V_1^2}{x_1^2-x_2^2}}$
D
$2 \pi \sqrt{\frac{\mathrm{x}_1^2-\mathrm{x}_2^2}{\mathrm{~V}_2^2-\mathrm{V}_1^2}}$
3
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

For a particle executing S.H.M. having amplitude A, the speed of the article is $\left(\frac{1}{3}\right)^{\text {rd }}$ of its maximum speed when the displacement from the mean position is

A
$\frac{3 \mathrm{~A}}{\sqrt{2}}$
B
$\frac{2 \mathrm{~A}}{3}$
C
$\frac{2 \sqrt{2}}{3} \mathrm{~A}$
D
$\frac{\sqrt{2}}{3} \mathrm{~A}$
4
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The motion of a particle is described by the equation $a=-b x$ where ' $a$ ' is the acceleration, x is the displacement from the equilibrium position and b is a constant. The periodic time will be

A
$\frac{2 \pi}{\mathrm{~b}}$
B
$\frac{2 \pi}{\sqrt{b}}$
C
$2 \pi \sqrt{b}$
D
$2 \sqrt{\frac{\pi}{b}}$
MHT CET Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12