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
Following are the car parking charges near a railway station upto
| 4 hours | ₹60 |
| 8 hours | ₹100 |
| 12 hours | ₹140 |
| 24 hours | ₹180 |
Check if the parking charges are in direct proportion to the parking time.
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 | .... | .... | .... | .... |
Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?
Suneeta types 1080 words in one hour. What is her GWAM (gross words a minute rate)?
A and B can polish the floors of a building in 10 days. A alone can do \[\frac{1}{4}\] th of it in 12 days. In how many days can B alone polish the floor ?
If 12 boys earn Rs 840 in 7 days, what will 15 boys earn in 6 days?
Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be ______.
100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for ______.
An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is ______.
A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given below. Find the width of the pool.
