Bissoy.com
Doctors Medicines MCQs Q&A

p ∝ q when ‘r’ remains unchanged and p ∝ 1/r  when q remains unchanged. If r = 4 when p = 10 and q = 8, what is the value of r when p = 15 and q = 9? 

p ∝ q when ‘r’ remains unchanged and p ∝ 1/r  when q remains unchanged. If r = 4 when p = 10 and q = 8, what is the value of r when p = 15 and q = 9?  Correct Answer 3

Given:

P ∝ q when ‘r’ remains unchanged

And p ∝ 1/r when q remains unchanged

Calculation:

p ∝ q and p ∝ 1/r

Then, p = k(q/r)

Putting the value of r = 4, p = 10 and q = 8 then

10 = k(8/4)

⇒ k = 5

Now, When p = 15 and q = 9

Then, p = k(q/r)

⇒ 15 = 5 × (9/r)

⇒ r = (5 × 9)/15

⇒ r = 3

Related Questions

A container of 425 liters was filled with chemicals through two pipes. The first pipe was kept open for 5 hours more than the second pipe. If the first pipe remains open for as long as the second pipe remains open, and the second pipe remains open for as long as the first pipe remains open, then the quantity of chemical filled by the first pipe was half the quantity of chemical filled by the second pipe. If both the pipes are opened simultaneously, the tank will be filled in 17 hours. For how long was the second pipe open?
A solid cube changes its volume such that its shape remains unchanged. For such a cube of unit volume, what will be the value of rate of change of volume?
If the diameter if the earth becomes twice its present value but its mass remains unchanged, then how would be the weight of an object on the surface of the earth affected?
If the diameter of the earth becomes half its present value but its average density remains unchanged then how would be the weight of an object on the surface of the earth affected?
What are the complex organic remains such as dead animal remains, dead plant remains, and fecal matter called?
Consider the following statements in respect of an evaporative cooling process: 1. The wet-bulb temperature remains constant. 2. The dew-point temperature remains constant. 3. The enthalpy remains constant. Which of the above statements are correct?
Consider the following statements for the appropriate context: 1. The Relative Humidity of air remains constant during sensible heating or cooling 2. The Dew Point Temperature of air remains constant during sensible heating or cooling 3. The total enthalpy of air remains constant during adiabatic cooling 4. It is necessary to cool the air below its Dew Point Temperature for dehumidifying Which of the above statements are correct?
When a charged particle moves perpendicular to a magnetic field, then which statement is correct: a) Its momentum remains constant b) Its kinetic energy remains constant c) Its velocity remains constant
An entity issues shares as consideration for the purchase of inventory. The shares were issued on 1st January, 2017. The inventory is eventually sold on 31st December, 2018. The value of the inventory on 1st January, 2017, was Rs. 8,00,000. This value was unchanged upto the date of sale. The sale proceed was Rs. 12,00,000. The shares issued have a market value of Rs. 9,00,000. Which of the following statement correctly describes the accounting treatment of this share based payment transaction?
If the first and fifth, second and sixth, third and seventh, fourth and eighth letters of the word ARROGANCE are interchanged, and the position of the ninth remains unchanged then what will the new arrangement of letters be?