wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The unit of Mass is α kg. The unit of length is β metre and the unit of time is γ second. The magnitude of calorie in the new system is:

[1 calorie = 4.2 Joules]

A
4.2α1β2γ2 new units
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4.2α1β2γ2 new units
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
α1β2γ2 new units
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
14.2α1β2γ2 new units
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 4.2α1β2γ2 new units
Given that unit of mass =α

unit of length =β

time =γ

as Unit of work = Joule

Work=force×displacement

=mass×acceleration×displacement

as Unit of acceleration =length(time)2

Unit of displacement =length

Joule=mass×length(time)2×length

=αβ2y2

as 1cal=4.2Joule

calorie=4.2×Joule

1cal=4.2J

=4.2×(αβ2γ2)

Unit of calorie =4.2(αβ2γ2)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dimensional Analysis
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon