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Q.

The frequency of vibration of string is given by ϑ=n2lFλ1/2 , here p is number of segments in the string, l is the length and F is the tension in the string. The dimensional formula for λ will be

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a

M0LT−1

b

ML0T−1

c

ML−1T0

d

M0L0T0

answer is C.

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Detailed Solution

v=P2lFm1/2 ⇒v2=P24l2Fm ∴m∝Fl2v2⇒[m]=MLT−2L2T−2=ML−1T0
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