From a uniform wire,two circular loops are ma | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Since the wire is uniform,the mass of the loop is proportional to its circumference (length of the wire).Let the mass of loop $P$ be $m_P = m$. Th

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(D) Since the wire is uniform,the mass of the loop is proportional to its circumference (length of the wire).Let the mass of loop $P$ be $m_P = m$. The circumference of $P$ is $2\pi r$.The circumference of loop $Q$ is $2\pi(nr) = n(2\pi r)$.Therefore,the mass of loop $Q$ is $m_Q = n 	imes m_P = nm$.The moment of inertia of a circular ring of mass $M$ and radius $R$ about an axis passing through its centre and perpendicular to its plane is $I = MR^2$.For loop $P$,$I_P = m_P r^2 = mr^2$.For loop $Q$,$I_Q = m_Q (nr)^2 = (nm)(n^2r^2) = n^3 mr^2$.Given that $I_Q = 8 I_P$,we have:$n^3 mr^2 = 8(mr^2)$$n^3 = 8$$n = \sqrt[3]{8} = 2$.

Similar Questions

The complex ion which has no $d$ electrons in the central metal atom is:

The cathode of a photoelectric cell is changed from a work function $W_1$ to $W_2$ $(W_2 > W_1)$. If the photoelectric currents before and after the change are $I_1$ and $I_2$ respectively,and all other conditions remain constant,then which of the following is true? (Assume $hv > W_2$)

One ampere of current is passed for $9650 \ s$ through molten $AlCl_3$. What is the weight in grams of $Al$ deposited at cathode? (atomic weight of $Al = 27$)

Kepler's second law (law of areas) is nothing but a statement of

If the normal to the curve $y^2 = 5x - 1$ at the point $(1, -2)$ is of the form $ax - 5y + b = 0$,then $a$ and $b$ are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module