Home
Class 11
PHYSICS
Which of the following quantities is dim...

Which of the following quantities is dimensionless if v = speed , r = radius of a circular path and g = acceleration due to gravity?

A

`(v^(2)r)/(g)`

B

`v^(2)/(rg)`

C

`(v^(2)g)/(r)`

D

`v^(2)`rg

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise EXERCISE (Based on Dimensional Analysis )|6 Videos

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise EXERCISE (Based on Errors in Measurement )|7 Videos

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise HIGHER ORDER THINKING SKILL (HOTS ) QUESTIONS|6 Videos

  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|9 Videos

  • NATURE OF VIBRATION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|2 Videos

Similar Questions

Explore conceptually related problems

To which of the following quantities, the radius of the circular path of a charged particle moving at right angles to a uniform magnetic field is directly proportional ?

A body is thrown vertically upwards with a velocity v from the surface of the earth. Show that the height h up to which the body will rise is given by h=(v^2R)/(2gR-v^2) here ,R=radius of the earth , g=acceleration due to gravity.

Knowledge Check

  • Keeping the mass fixed , if the radius of the earth is halved, the acceleration due to gravity at any place will be

    A
    half of the original
    B
    one-fourth of the original
    C
    doubled of the original
    D
    four times of the original

  • The mass of a planet is 4 times the mass of the earth and its radius is 2 times the radius of the earth. The acceleration due to gravity on that planet is

    A
    `9.8 m*s^(-2)`
    B
    `19.6 m*s^(-2)`
    C
    `4.9 m*s^(-2)`
    D
    `39.2 m*s^(-2)`

  • A satellite of mass m is revolving around the earth at a height x above the surface of the earth. The radius of the earth is R. If the acceleration due to gravity is g, the orbital speed of the satellite will be

    A
    gx
    B
    `(gR)/(R-x)`
    C
    `(gR^2)/(R+x)`
    D
    `((gR^2)/(R+x))^(1//2)`

    • Similar Questions

    Explore conceptually related problems

    State whether True or False : G is called acceleration due to gravity.

    A body revolving with uniform speed v in a circular path of radius r. The tangential acceleration is

    If the radius of the earth shrinks by1.5% then the value of acceleration due to gravity changes by

    A drop of oil rises within water with an upward acceleration of alphag . If alpha is a constant and g is the acceleration due to gravity, find the specific gravity of the oil. Neglect the friction of water.

    If a body travels along a circular path with uniform speed then its acceleration

    Home
    Profile