Question

Question(129)
Dimensional formula of the product of the two physical qualities P and Q is
ML2T2 the dimensional formula of P/Q is MT-2 P and Q respectively are
А
Force, velocity
B
Momentum, displacement
с
Force, displacement
D
Work, velocity​

Answer 1

Answer:

Correct option is

C

Force and displacement

P×Q=ML

2

T

−2

Q

P

=MT

−2

Let: P=M

A

l

B

T

C

and Q=M

a

l

b

T

c

P×Q=M

A+a

l

B+b

T

C+c

=M

1

l

2

T

−2

A+a=1;B+b=2;C+c=−2

Q

P

=M

A−a

l

B−b

T

C−c

=MT

−2

A−a=1;B−b=0;C−c=−2

⇒A=1,a=0B=b=1,C=−2,c=0

So, P=MlT

−2

→force

Q=M

0

l

1

T

0

→displacement