Question

The frequency (n) of vibration of a string is given as
1 T
where T is tension and I is the length of
n=
21 V m
vibrating string, then the dimensional formula of m is
(1) [M°LT']
(2) [Mºlºtº]
(3) [M'L-T°
(4) [ML°T°]



pls i need explaination​

Answer 1

Explanation:

(2) [Mºlºtº]

is the answer

brainlest banao

Answer 2

Answer:

Correct option is

C

[M

1

L

−1

T

∘

]

The correct answer is C.

Given,

f=

2l

1

m

T

Here, f is the frequency, T is the tension in the string.

Squaring both sides then we get,

f

2

=

4l

2

1

m

T

m=

4l

2

f

2

T

Here,

T=F=ma

So,

T=M

1

L

1

T

−2

Thus, the dimensional formula is

m=

M

0

L

2

T

0

×M

0

L

0

T

−2

M

1

L

1

T

−2

=M

1

L

−1

T

0