Home
Class 11
PHYSICS
The value of Gravitational constant G in...

The value of Gravitational constant G in MKS system is `6.67xx10^(-11)N-m^(2)//kg^(2)`
What will be its value in CGS system ?

Text Solution

Verified by Experts

The correct Answer is:
`(6.67 xx 10^(-8) cm^(3)//g s^(2))`
Dimension of gravitational constant = `[ M^(-1)L^(3) T^(-2)]`
`" "n_2= n_1[(M_1)/(M_2)]^(-1) [(L_1)/(L_2)]^(3) [ (T_1)/(T_2)]^(-2)`
here
`" "{:(MKS,,CGS),(n_1 = 6.67 xx 10^(-11),,n_2= ?), (M_1 = kg,,M_2 = g), (L_1 = m,,L_2 = cm), (T_1= sec,, T_2 = sec):}`
`n_2 = 6.67 xx 10^(-11) [ (kg)/(g)]^(-1) [(m)/(cm)]^(3) [(sec)/(sec)]^(2) `
` = 6.67 xx 10^(-11) xx 10^(-3) xx 10^(6) xx 1`
` = 6. 67 xx 10 ^(-8)`
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise BEGINNER S BOX-2|4 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise BEGINNER S BOX-3|3 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Question|1 Videos

  • SEMICONDUCTORS

    ALLEN |Exercise Part-3(Exercise-4)|50 Videos

Similar Questions

Explore conceptually related problems

If the value of universal gravitational constant is 6.67xx10^(11) Nm^2 kg^(-2), then find its value in CGS system.

On earth, the value of G = 6.67 xx 10^(-11) Nm^(2)// kg^(2) . What is its value on the moon ?

Give the order of the following : (a) 1 (b) 1000 (c ) 499 (d) 500 (e) 501) (f) 1 AU (1.496 xx 10^(11) m) (g) 1 Å (10(-10)m ) (h) Speed of light (3.00 xx 10^(8) m//s) (i) Gravitational constant (6.67 xx 10^(-11) N-m^(2)//kg^(2)) (j) Avogadro constant (6.02 xx 10^(23) mol^(-1)) (k) Planck's constant (6.63 xx 10^(-34) J-s) (l) Charge on electron (1.60 xx 10^(-19) C) (m) Radius of H - atom (5.29 xx 10^(-11)m) (n) Atmospheric pressure (1.01 xx 10^(5) Pa) (o) Mass of earth (5.98 xx 10^(24)kg) (p) Mean radius of earth (6.37 xx 10^(6)m)

G = 6.67xx10^(-11) N m^(2)(kg)^(-2) = ………. (cm)^(3)s^(-2)g^(-1) .

If in a system the force of attraction between two point masses of 1kg each situated 1km apart is taken as a unit force and is called newton(newton written in reverse order) If G = 6.67 xx 10^(-11) N-m^(2)kg^(-2) in \SI units, the relation of newton and newton is

The value of permittivity of vaccum is 8.85 xx 10^(-12) C^(2)N^(-1) m^(-2) and the dielectric constant of water is 81. So the permittivity of water will be……… C^(2)N^(-1)m^(-2) .