मराठी

The mass of an aluminium rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g. - Mathematics

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प्रश्न

The mass of an aluminum rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.

बेरीज

उत्तर

According to the question, the mass (m) of an aluminium rod varies directly with its length (l).

Here, we use the direct proportion.

In diret proportion, `m/l = k`  ...(Constant)

∴ `m/l = 192/16 = 12`

⇒ k = 12

If mass of the rod = 105 g

Then, `m/l = k`

⇒ `105/l = 12`

⇒ `l = 105/12 = 8.75  cm`

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पाठ 10: Direct and Inverse Proportions - Exercise [पृष्ठ ३२३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 10 Direct and Inverse Proportions
Exercise | Q 73. | पृष्ठ ३२३

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