The current density in a cylindrical wire of radius \(r = 4.0\) mm is \(1.0 \times 10^6\) \(A/m^2\). The current through the outer portion of the wire between radial distances \(\frac{r}{2}\) and \(r\) is \(xπ\) \(A\); where \(x\) is _________.
Choose the correct answer:
1. Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s. Ball B is thrown vertically down with an initial velocity u at t = 2 s. After a certain time, both balls meet 100 m above the ground. Find the value of u in ms–1 [use g = 10 ms–2]
The electric field in an electromagnetic wave is given by \(E = 56.5\ sin ω(t – \frac xc)\ NC^{–1}\). Find the intensity of the wave if it is propagating along x-axis in the free space. (Given \(∈_0 = 8.85 × 10^{–12} C^2N^{–1}m^{–2}\))
Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Two identical balls A and B thrown with same velocity ’u’ at two different angles with horizontal attained the same range R. If A and B reached the maximum height h1 and h2 respectively, then
\(R=\sqrt{4ℎ1ℎ2}.\)
Reason R: Product of said heights.
\(h_1h_2=(\frac{u^2sin^2θ}{2g}).(\frac{u^2cos^2θ}{2g})\)