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 mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added.
| Parts of red pigment | 1 | 4 | 7 | 12 | 20 |
| parts of base | 8 | .... | .... | .... | .... |
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the length of the shadow cast by another pole 10 m 50 cm high.
Fill in the blank in of the following so as to make the statement true:
x and y are said to vary directly with each other if for some positive number k ....,...... = k.
Fill in the blank in of the following so as to make the statement true:
If u = 3 v, then u and v vary .... with each other.
In a library 136 copies of a certain book require a shelf-length of 3.4 metre. How many copies of the same book would occupy a shelf-length of 5.1 metres?
In 10 days, the earth picks up 2.6 × 108 pounds of dust from the atmosphere. How much dust will it pick up in 45 days?
In which of the following case, do the quantities vary directly with each other?
When two quantities x and y are in ______ proportion or vary ______ they are written as `x oo y`.
When the speed remains constant, the distance travelled is ______ proportional to the time.
On increasing a, b increases in such a manner that `a/b` remains ______ and positive, then a and b are said to vary directly with each other.
