Home
Class 11
PHYSICS
A student was asked to write the equatio...

A student was asked to write the equation for displacement at any instant in a simple harmonic motion of amplitude'a'. He wrote the equation as
`y= asin((2π upsilon t)/k)`
Where 'v' is the velocity at instant 't'. For the equation to be dimensionally correct. what should be the dimensions of k?

Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    MAXIMUM PUBLICATION|Exercise EXERCISE|113 Videos

  • THERMODYNAMICS

    MAXIMUM PUBLICATION|Exercise EXERCISE|85 Videos

  • WAVES

    MAXIMUM PUBLICATION|Exercise EXERCISE|83 Videos

Similar Questions

Explore conceptually related problems

A particle executes simple harmonic motion according to the equation x=5sin((2π)/3t) Find the period of the oscillation

A particle executes simple harmonic motion according to the equation. x=5sin((2π)/3 t) write an expression for velocity and acceleration of the above particle.

Use your definition to explain how simple harmonic motion can be represented by the equation y=a sin omega t Show that the above equation is dimensionally correct

The displacement in simple harmonic motion can be represented as x(t)=Acos(omegat + phi) ,where phi is the phase constant. Define A in the equation.

The correctness of an equation is checked using the principle of homogeneity. For an equation, x=a+bt+ct^2 , where x is in metre and t in second. What will be the dimension of b ?

A particle executes simple harmonic motion according to the equation x=5sin((2π)/3t) what is the minimum time required for the particle to move between two points 2.5 cm on either side of the mean position?

The motion represented by the equation y(t)=A cos(omegat+phi) is called simple harmonic motion (SHM). The displacement of y (in cm) of an oscillating particle varies with time t (in sec) according to the equation. y=2cos(0.5pit+pi/3) . Find the amplitude and period of the particle.

MAXIMUM PUBLICATION-UNITS AND MEASUREMENTS-EXERCISE
  1. A company manufacturing PVC pipes claims in an advertisement that the ...

    Text Solution

    |

  2. A company manufacturing PVC pipes claims in an advertisement that the ...

    Text Solution

    |

  3. A student was asked to write the equation for displacement at any inst...

    Text Solution

    |

  4. What is the area of a square of side 1.4 cm in proper significant figu...

    Text Solution

    |

  5. To measure distance we use different units. Which of the following is ...

    Text Solution

    |

  6. Which of the following measurment is more accurate?Why?

    Text Solution

    |

  7. All Physical quantities can be expressed in terms of dimension. Writ...

    Text Solution

    |

  8. All Physical quantities can be expressed in terms of dimension. Writ...

    Text Solution

    |

  9. Check whether the equation T=2πsqrt ( m/g) is dimensionally correct...

    Text Solution

    |

  10. Which measurement is most precise? Vernier Callipers having 5 divisi...

    Text Solution

    |

  11. Which measurement is most precise? Vernier Callipers having 10 divis...

    Text Solution

    |

  12. Which measurement is most precise? Vernier Callipers having 20 divis...

    Text Solution

    |

  13. What happens to the accuracy when the least count is decreased?

    Text Solution

    |

  14. A boy recalls the relativistic mass wrongly as m=m0/sqrt(1-V^2) Using...

    Text Solution

    |

  15. Pick out the fundamental unit from the following:

    Text Solution

    |

  16. Velocity of sound depends on density (rho) and modulus of elasticity (...

    Text Solution

    |

  17. Velocity of sound depends on density (rho) and modulus of elasticity (...

    Text Solution

    |

  18. The correctness of an equation is checked using the principle of homog...

    Text Solution

    |

  19. Significant figures determine the accuracy of the measurement of a phy...

    Text Solution

    |

  20. Significant figures determine the accuracy of the measurement of a phy...

    Text Solution

    |