Q. Let x, y be the volumes; m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of Q is two times that of P.
Let u =m/x and V=n/y. which one or the following is correct?
(a) u = 4v
(b) u = 2v
(c) v=u
(d) v = 4u
Correct Answer: (a) u = 4v
Question from UPSC Prelims 2020 CSAT Paper
Explanation :
Two metallic cubes P and Q
Since each side of cube Q is two times that of cube P, the volume of Q will be 2^3 = 8 times that of P. This means y = 8x. Since the mass of Q is two times that of P, we have n = 2m. Now we can use these relationships to find the relationship between u and v.
u = m/x and v = n/y
Substituting n = 2m and y = 8x into v = n/y
gives us: v = (2m)/(8x) v = m/(4x)
Since u=m/x, we can see that u=4v.
So the correct answer is (a) u=4v.
