A wire 214 cm long is to be divided into three segments which produce frequency in the ratio 5:6::7 . How should the length of the segments be

Question

A wire 214 cm long is to be divided into three segments which produce frequency in the ratio 5:6::7 . How should the length of the segments be

A wire 214 cm long is to be divided into three segments which produce frequency in the ratio 5:6::7 . How should the length of the segments be
A. 80cm , 74cm , 60cm
B. 84cm , 70cm , 60cm
C. 84cm, 70cm, 64cm
D. 80cm,74cm,64cm

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
`l_1:l_2 : l_3 = (1)/(n_1): (1)/(n_2) : (1)/(n_3)`
`=1/5:1/6:1/7`
`=210/5: 210/6:210/7`
=42:35:30
`L_1=(L)/("Sum of ratio") xx "ratio of length"`
`=214/107xx42 = 84`
`L_2 = 214/107 xx35 = 70`
`L_3 = 214/107 xx30 = 60`

5 views Answered 2023-02-05 15:29