Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 14

MEDIUM

JEE Main

IMPORTANT

Earn 100

The equation of motion of a particle is $x = a \cos (α t^{2})$ . The motion is:

50% studentsanswered this correctly

Important Questions on Oscillations

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 15

A particle moves on the

X -

axis according to the equation,

x = A + B sinω t

. The motion is simple harmonic with amplitude,

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 16

The kinetic energy of a particle executing

S . H . M .

is

16 J

when it is at its mean position. If the mass of the particle is

0.32 kg

, then what is the maximum velocity of the particle?

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 17

A particle starts S.H.M. from mean position. Its amplitude is

a

. At one instant, its velocity is half of the maximum velocity. Its displacement at this instant is

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 18

A body of mass $36 g$ moves with S.H.M. of amplitude $A = 13 cm$ and time period $T = 12 s .$ At time $t = 0,$ the displacement $x$ is $+ 13$ . The shortest time of passage from $x = + 6.5 cm$ to $x = - 6.5 cm$ is

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 19

The velocity of a particle executing a simple harmonic motion is

13 m s^{- 1},

when its distance from the equilibrium position

(Q)

is

3 m

and its velocity is

12 m s^{- 1},

when it is

5 m

away from

Q

. The frequency of the simple harmonic motion is

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 20

A particle has simple harmonic motion. The equation of its motion is

x = 5 \sin (4 t - \frac{π}{6})

where

x

is its displacement. If the displacement of the particle is

3

units, then its velocity is

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 21

Two simple harmonic motions of angular frequency

100

and

1000 rad s^{- 1}

have the same displacement amplitude. The ratio of their maximum accelerations is

MEDIUM

JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 11 - Oscillations>Level 2>Q 22

The variation of acceleration

a

and displacement

x

of the particle executing

S . H . M .

is indicated by which of the following curves?