Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
Complite the following table given that x varies directly as y .
| x | 2.5 | ... | ... | 15 |
| y | 5 | 8 | 12 | ... |
A worker is paid Rs 210 for 6 days work. If his total income of the month is Rs 875, for how many days did he work?
The shadow of a pole with height of 8 m is 6 m. If the shadow of another pole measured at the same time is 30 m, find the height of the pole?
By travelling at a speed of 48 kilometres per hour, a car can finish a certain journey in 10 hours. To cover the same distance in 8 hours, the speed of the car should be ______.
When the speed remains constant, the distance travelled is ______ proportional to the time.
For fixed time period and rate of interest, the simple interest is directly proportional to the principal.
In a camp, there is enough flour for 300 persons for 42 days. How long will the flour last if 20 more persons join the camp?
It is given that l varies directly as m. Find l, when m is 33.
Ravi starts for his school at 8:20 a.m. on his bicycle. If he travels at a speed of 10 km/h, then he reaches his school late by 8 minutes but on travelling at 16 km/h he reaches the school 10 minutes early. At what time does the school start?
Ms. Anita has to drive from Jhareda to Ganwari. She measures a distance of 3.5 cm between these villages on the map. What is the actual distance between the villages if the map scale is 1 cm = 10 km?
