Home
Class 12
PHYSICS
If x=(acostheta+bcostheta)/(a+b), then...

If `x=(acostheta+bcostheta)/(a+b),` then

A

`x` has the same dimensions as `a` and `b`

B

`a` and `b` have different dimensions

C

`x` has no dimensions

D

`x` has dimensions of wavelength.

Text Solution

Verified by Experts

The correct Answer is:
C
Here `x=(acostheta+bsintheta)/(a+b)`
As `sintheta` and `costheta` have no dimensions
`:.x=(a+b)/(a+b)i.e.`no dimensions
Hence `(c )` is the right choice.
Promotional Banner

Topper's Solved these Questions

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-III)|6 Videos

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|7 Videos

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|7 Videos

  • UNIT TEST PAPER NO.4

    MODERN PUBLICATION|Exercise MCQ|31 Videos

  • WAVE MOTION

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

If acos theta+bsintheta =m and asin theta-bcostheta =n, prove that m^(2)+n^(2)=a^(2)+b^(2)

If tan x=(b)/(a) then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

If the difference between the roots of x^(2)+a x+b=0 is same as that of x^(2)+b x+a=0 , a not equal to b', then

If the equations x^(2)+a x+b=0 and x^(2)+b x+a=0(a ne b) have a common root, then a+b=

The inverse of the conditional " If x in(A uu B) then x in A or x in B " is

For some constants a and b, find the derivative of (x-a)(x-b)

For some constants a and b, find the derivative of (x-a)/(x-b)

If a, b, c are real and a!=b , then the roots of the equation, 2(a-b)x^2-11(a + b + c) x-3(a-b) = 0 are :

If the quadratic equations, a x^2+2c x+b=0 and a x^2+2b x+c=0(b!=c) have a common root, then a+4b+4c is equal to:

If x=a+b, y=a omega+b omega^(2), z=a omega^(2)+b omega , then x y z=

MODERN PUBLICATION-UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS-Multiple Choice Questions (Level-II)
  1. The radius of nucleus is R=R(0)A^(1//3)where A is the mass number of t...

    Text Solution

    |

  2. B^(2)/(mu(0)), where B is magnetic induction and mu(0) is permeability...

    Text Solution

    |

  3. If x=(acostheta+bcostheta)/(a+b), then

    Text Solution

    |

  4. If the energy of a photon of light is given by E=kh^(x)c^(y)lambda^(z)...

    Text Solution

    |

  5. The energy transfered to the battery of an invertor from the electric ...

    Text Solution

    |

  6. In the formula X=3YZ^(2),X and Z have the dimensions of capacitance an...

    Text Solution

    |

  7. Solar constant of the sun is the energy received by earth per minute p...

    Text Solution

    |

  8. What will be the dimensions of the ratio of electric intensity of the ...

    Text Solution

    |

  9. Which of the following pair has same dimensions ?

    Text Solution

    |

  10. Given that force (F) is given F=Pt^(-1)+Qt. Here t is time. The unit o...

    Text Solution

    |

  11. If D represents the diameter,rho the density , v the speed and eta th...

    Text Solution

    |

  12. What is the unit of k in the relation U=(ky)/(y^(2)+a^(2)) where U...

    Text Solution

    |

  13. If x=(epsilon(0)lV)/(t) where epsilon(0) is permittivity of free space...

    Text Solution

    |

  14. The number of particles given by <by> n=-D(n(2)-n(1))/(x(2)-x(1)) ar...

    Text Solution

    |

  15. On the basis of dimensions decide, which of the following relations fo...

    Text Solution

    |

  16. If momentum /(p), area a and time (t) are taken to be the fundamental ...

    Text Solution

    |

  17. Youngs modulus for steel is 2xx10^(11)N//m^(2). What is its value in...

    Text Solution

    |

  18. An artificial satellite is revolving round a planet of mass M and radi...

    Text Solution

    |

  19. A quantity Q=(El^(2)G^(2))/m^(5) where E,l,G and m are energy, angular...

    Text Solution

    |

  20. A physical quantity Q=(a^(2)b^(3)c^(5/2))/(x^(2)). If the percentage ...

    Text Solution

    |