Question

Imagine that we can make the bob of a simple pendulum move in a vertical circle with uniform speed of , where r is the radius of the path and g is acceleration due to gravity, then the ratio of the tensions in the string when the bob is at the lowest and highest positions is in​

Answer 1

Answer:

$\huge{Imagine that we can make the bob of a simple pendulum move in a vertical circle with uniform speed of , where r is the radius of the path and g is acceleration due to gravity, then the ratio of the tensions in the string when the bob is at the lowest and highest positions is in}$

Answer 2

Explanation:

Question : Prove that√5 is irrational.

Answer :

Let us assume that √5 is a rational number.

Sp it t can be expressed in the form p/q where p,q are co-prime integers and q≠0

⇒√5=p/q

On squaring both the sides we get,

⇒5=p²/q²

⇒5q²=p² —————–(i)

p²/5= q²

So 5 divides p

p is a multiple of 5

⇒p=5m

⇒p²=25m² ————-(ii)

From equations (i) and (ii), we get,

5q²=25m²

⇒q²=5m²

⇒q² is a multiple of 5

⇒q is a multiple of 5

Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number

√5 is an irrational number

Hence proved