Question

Match the followng

List - I	List II
a. Area of $F-s$ graph	e. Power
b. Area of $F-t$ graph	f. Impulse
c. slope of $W-t$ graph	g. work
d. slope of potential energy versus displacement graph	h. force

• A. $a\to g,b\to f,c\to e,d\to h,$
• B. $a\to f,b\to g,c\to e,d\to h,$
• C. $a\to f,b\to g,c\to h,d\to e,$
• D. $a\to h,b\to e,c\to g,d\to f,$

Answer 1

The correct option is A $a\to g,b\to f,c\to e,d\to h,$

A- Area of $F-s$ graph represents Work. Follows from the definition of work. $Work=F.S$
B-Area of $F-t$ graph represents Impulse or change in momentum of the body(by definition)
C-Slope of $W-t$ is $dW/dt$ which is work done per unit time which is the definition of instantaneous power.
D-negative slope of potential energy versus displacement gives instantaneous force acting on a body under conservative force(by definition).