Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as v2=nm2v1 and a2=a1mn respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :

n 3 m 3 L 1 = L 2 and n 2 m T 1 = T 2

Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as v2=nm2v1 and a2=a1mn respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :

n 3 m 3 L 1 = L 2 and n 2 m T 1 = T 2

n 2 m L 1 = L 2 and n 4 m 2 T 1 = T 2

L 1 = n 2 m L 2 and T 1 = n 4 m 2 T 2

L 1 = n 4 m 2 L 2 and T 1 = n 2 m T 2

Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as $v_{2} = \frac{n}{m^{2}} v_{1}$ and $a_{2} = \frac{a_{1}}{mn}$ respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$\frac{n^{3}}{m^{3}} L_{1} = L_{2} and \frac{n^{2}}{m} T_{1} = T_{2}$

$\frac{n^{2}}{m} L_{1} = L_{2} and \frac{n^{4}}{m^{2}} T_{1} = T_{2}$

$L_{1} = \frac{n^{2}}{m} L_{2} and T_{1} = \frac{n^{4}}{m^{2}} T_{2}$

$L_{1} = \frac{n^{4}}{m^{2}} L_{2} and T_{1} = \frac{n^{2}}{m} T_{2}$

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$\begin{array}{l} \frac{L_{2}}{T_{2}} = \frac{n}{m^{2}} \frac{L_{1}}{T_{1}} \\ \frac{L_{2}}{T_{2}^{2}} = \frac{L_{1}}{T_{1}^{2} \times mn} \\ \frac{n}{m^{2}} \times \frac{T_{2}}{T_{1}} = \frac{T_{2}^{2}}{T_{1}^{2} \times mn} \\ \frac{n^{2}}{m} = \frac{T_{2}}{T_{1}} \\ \frac{L_{2}}{L_{1}} = \frac{n^{4}}{m^{2}} \times \frac{1}{mn} \\ \frac{L_{2}}{L_{1}} = \frac{n^{3}}{m^{3}} \end{array}$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th