Home
Class 11
PHYSICS
In a certain system of absolute units th...

In a certain system of absolute units the acceleration produced by gravity in a body falling freely is denoted by `3`, the kinetic energy of a `272.1 kg` shot moving with velocity `448` metres per second is denoted by `100`, and its momentum by 10.
The unit of length is

A

15.36 m

B

153.6 m

C

68.57 m

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Let unit of length, time and mass be `L_(1), T_(1)` and `M_(1)` respectively.
According to question
`9.8 LT^(-2) =3L_(1)T_(1)^(-2)`
`1/2 (272.1)(448)^(2) ML^(2)T^(-2)=100 M_(1)L_(1)^(2)T_(1)^(-2)`
`(272.1)(448) MLT^(-1)=10 M_(1)L_(1)T_(1)`
bu solving above equation `L_(1)=153.6 L`
`=153.6 m`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise DATA SUFFICIENCY QUESTIONS|3 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-04 [A]|28 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Comprehension 3|5 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

In a certain system of absolute units the acceleration produced by gravity in a body falling freely is denoted by 3 , the kinetic energy of a 272.1 kg shot moving with velocity 448 metres per second is denoted by 100 , and its momentum by 10. the unit of mass is

In a certain system of absoulte units the acceleration produced by gravity in a body falling freely is denoted by 5, the kinetic energy of a 500 kg shot moving with velocity 400 metres per second is denoted by 2000 & its momentum by 100 The unit of length is :-

n a certain system of absoulte units the acceleration produced by gravity in a body falling freely is denoted by 5, the kinetic energy of a 500 kg shot moving with velocity 400 metres per second is denoted by 2000 & its momentum by 100 The unit of time is :-

n a certain system of absoulte units the acceleration produced by gravity in a body falling freely is denoted by 5, the kinetic energy of a 500 kg shot moving with velocity 400 metres per second is denoted by 2000 & its momentum by 100 The unit of mass is :-

1 joule of energy is to be converted into new system of units in which length is measured in 10 metre, mass in 10 kg and time in 1 minute. The numerical value of 1 J in the new system is :-

In ancient time, deffernt system of units was following in which unit of mass was " ser ", unit of length was " gaj " & unit of time was " kall " 1ser=900 gm , 1gaj=90cm , 1 kaal=3hr . A ball of mass 9kg is moving with velocity 10 m//s . Then its momentum ( mv ) in ancient system will be :-

A non-viscous liquid of constant density 1000kg//m^3 flows in a streamline motion along a tube of variable cross section. The tube is kept inclined in the vertical plane as shown in Figure. The area of cross section of the tube two point P and Q at heights of 2 metres and 5 metres are respectively 4xx10^-3m^2 and 8xx10^-3m^2 . The velocity of the liquid at point P is 1m//s . Find the work done per unit volume by the pressure and the gravity forces as the fluid flows from point P to Q.

When a particle is restricted to move aong x axis between x =0 and x = a , where a is of nanometer dimension. Its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is realated to the linear momentum p of the particle according to the de Breogile relation. The energy of the particl e of mass m is reelated to its linear momentum as E = (p^(2))/(2m) . Thus, the energy of the particle can be denoted by a quantum number 'n' taking values 1,2,3,"......." ( n=1 , called the ground state) corresponding to the number of loop in the standing wave. Use the model decribed above to answer the following three questions for a particle moving in the line x = 0 to x =a . Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19) C . If the mass of the particle is m = 1.0 xx 10^(-30) kg and a = 6.6 nm , the energy of the particle in its ground state is closet to

When a particle is restricted to move aong x axis between x =0 and x = a , where a is of nanometer dimension. Its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is realated to the linear momentum p of the particle according to the de Breogile relation. The energy of the particl e of mass m is reelated to its linear momentum as E = (p^(2))/(2m) . Thus, the energy of the particle can be denoted by a quantum number 'n' taking values 1,2,3,"......." ( n=1 , called the ground state) corresponding to the number of loop in the standing wave. Use the model decribed above to answer the following three questions for a particle moving in the line x = 0 to x =a . Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19) C . The allowed energy for the particle for a particular value of n is proportional to

When a particle is restricted to move aong x axis between x =0 and x = a , where a is of nanometer dimension. Its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends x = 0 and x = a . The wavelength of this standing wave is realated to the linear momentum p of the particle according to the de Breogile relation. The energy of the particl e of mass m is reelated to its linear momentum as E = (p^(2))/(2m) . Thus, the energy of the particle can be denoted by a quantum number 'n' taking values 1,2,3,"......." ( n=1 , called the ground state) corresponding to the number of loop in the standing wave. Use the model decribed above to answer the following three questions for a particle moving in the line x = 0 to x =a . Take h = 6.6 xx 10^(-34) J s and e = 1.6 xx 10^(-19) C . The speed of the particle, that can take disrete values, is proportional to

Home
Profile