Two charged particles of the same charge but different masses \(m_1\) and \(m_2\) are projected with the same velocity \(V\) normally into the uniform magnetic field \(B\) as shown in the figure. The maximum separation of the particles is:
A wire of resistance 0.2 \( \Omega/{cm} \) is bent to form a square ABCD of side 10 cm. A similar wire is connected between the corners B and D. If 2 V battery is connected across A and C, the power dissipated is
What is the equivalent resistance between the points A and B of the network?
The oxygen gas of 5 moles is heated at constant pressure from 300 K to 320 K. The amount of energy spent during this expansion is (For oxygen \( C_p = 7 \, {Cal/mol} \cdot \degree C \), \( C_v = 5 \, {Cal/mol} \cdot \degree C \))
The relation between velocity \( V \) (in ms\(^{-1}\)) and the displacement \( x \) (in meters) of a particle in motion is \( 2V = \sqrt{37 + 32x} \). The acceleration of the particle is