Home
Class 12
PHYSICS
The motion of 10 g mass tied to massless...

The motion of 10 g mass tied to massless spring is represented by S.H.M. `x=25cos(3t+(pi)/(4))` where x is in cm and t in second, the force constant of the spring is :

A

`9" N m"^(-1)`

B

`0.9" N m"^(-1)`

C

`0.09" N m"^(-1)`

D

none of the above.

Text Solution

Verified by Experts

The correct Answer is:
C
Here `omega t=3t`
`implies" "omega=3` rad/s.
Now `" "v=(1)/(2pi)sqrt((k)/(m))`
or `" "omega=sqrt((k)/(m))`
`implies" "k=omega^(2)m`
`:." "k=9xx(10)/(1000)=0.09"N"//"m"`.
So the correct choice is ( c ).
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise MCQ (LEVEL-II)|62 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise MCQ (LEVEL-III) Questions From AIEEE/JEE Examination|10 Videos

  • MOCK TEST-3

    MODERN PUBLICATION|Exercise MCQs|49 Videos

  • PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|17 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle is represented by following equation: s=3t^(3) +7t^(2) +5t +8 where is in metre and in second the acceleration of particle at s is

A progressive wave is represented by equation y = 5 sin ( 80 pi t - 0.5 pi x ) where x,y are in metre and t is in second. Find Velocity

The transverse wave in a string is represented by y ( x,t) = 7.5 sin (12 pi t - 0.005 x ) where 'x' and 'y' in cm and 't' in second. Determine ( a) Amplitude (b) frequency (c ) wavelength and ( d) velocity of the wave.

A transverse harmonic wave on a string is described by y ( x,t )= 30 sin ( 36 t + 0.018x +( pi)/(4) ) where x and y are in cm and t is in s.The positive direction of x is from left to right. What are its amplitude and frequency ?

A transverse harmonic wave on a string is described by y ( x,t )= 30 sin ( 36 t + 0.018x + ( pi)/(4) ) where x and y are in cm and t is in s.The positive direction of x is from left to right. What is the initial phase at the origin ?

A transverse harmonic wave on a string is described by y ( x,t )= 30 sin ( 36 t + 0.018x + ( pi)/(4) ) where x and y are in cm and t is in s.The positive direction of x is from left to right. Is this a travelling wave or a stationary wave ? If it is travelling, what are the speed and direction of its propagation ?

A transverse harmonic wave on a string is described by y ( x,t )= 30 sin ( 36 t + 0.018 + ( pi)/(4) ) where x and y are in cm and t is in s.The positive direction of x is from left to right. What is the least distance between two successive crests in the wave ?

A progressive wave is represented by equation y = 5 sin ( 80 pi t - 0.5 pi x ) where x,y are in metre and t is in second. Find Wavelength