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.

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

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