Advertisements
Advertisements
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.
Advertisements
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`
APPEARS IN
संबंधित प्रश्न
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.
Complite the following table given that x varies directly as y .
| x | 4 | 9 | ... | ... | 3 | ... |
| y | 16 | ... | 48 | 36 | ... | 4 |
If the thickness of a pile of 12 cardboards is 35 mm, find the thickness of a pile of 294 cardboards.
Sita can finish typing a 100 page document in 9 hours. Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?
6 men can complete the electric fitting in a building in 7 days. How many days will it take if 21 men do the job?
A cistern can be filled by one tap in 8 hours, and by another in 4 hours. How long will it take to fill the cistern if both taps are opened together?
A cistern can be filled by a tap in 4 hours and emptied by an outlet pipe in 6 hours. How long will it take to fill the cistern if both the tap and the pipe are opened together?
If the cost of 3 books is ₹ 90, then find the cost of 12 books.
If x and y are in direct proportion, then (x – 1) and (y – 1) are also in direct proportion.
Work with a partner to write at least five ratio statements about this quilt, which has white, blue, and purple squares.

How many squares of each colour will be there in 12 such quilts?
