Passage

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 $$448$$ meters per second is denoted by $$100$$, and its momentum by $$10$$.
Physics

The unit of length is


SOLUTION

Let unit of length, time and mass be $$L_1,T_1$$ and $$M_1$$ respectively.

According to question

$$9.8\;LT^{-2}=3\;L_1T^{-2}$$

$$\displaystyle\frac{1}{2}(272.1)(448)^2ML^2T^{-2}=100\;M_1L_1^2T_1^{-2}$$

$$(272.1)(448)\;MLT^{-1}=10M_1L_1T_1$$

by solving above equation $$L_1=153.6\:L$$

$$\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;=153.6\,m$$

View Answers

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Subjective Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 197
Enroll Now For FREE

Realted Questions

Q1 Subjective Medium
Fill in the blanks.
In the ....... system, length is measured in centimeters.

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q2 Single Correct Medium
The SI unit of electron mobility is  :
  • A. $${M^2}{S^{ - 1}}V - 1$$
  • B. $$=m^2 s^{-1}V^{-1}$$
  • C. $$m{s^{ - 1}}V$$
  • D. $${m^2}{s^{ - 2}}V$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q3 Single Correct Medium
If a unit $$\alpha$$ reprents $$\mu gmm^{-3}$$ a unit $$'\beta'$$ represents kg $$m^{-3}$$ then
  • A. $$\alpha=\beta$$
  • B. $$\alpha=10^{-6}\beta$$
  • C. $$\alpha=10^{-12}\beta$$
  • D. $$\alpha=10^{18}\beta$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q4 Single Correct Medium
Dimensional formula of Torque is:
  • A. $${ MLT }^{ -2 }$$
  • B. $${ ML }^{ 2 }{ T }^{ -2 }$$
  • C. $${ ML }^{ 2 }{ T }^{ -3 }$$
  • D. $${ MLT }^{ -3 }$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q5 Single Correct Medium
If the force acting on a body of mass $$(2kg \pm 20 g)$$ is $$(3N \pm 2\%)$$, then maximum percentage error in acceleration is?
  • A. $$6\%$$
  • B. $$12\%$$
  • C. $$2\%$$
  • D. $$3\%$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer