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 train moves towards a stationary observer with speed 72 m/s\(^{-1}\). The train blows its horn and its frequency heard by observer is \(f_1\). If the train speed is reduced to 36 m/s\(^{-1}\), the frequency heard by observer is \(f_2\). Then \( \frac{f_1}{f_2} \) is (given \(v = 340 { m/s}^{-1}\)):
A 4 kg mass is suspended as shown in the figure. All pulleys are frictionless and spring constant \( K \) is \( 8 \times 10^3 \) Nm\(^{-1}\). The extension in spring is ( \( g = 10 \) ms\(^{-2}\) )
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 \( C_p = 7 \, {Cal/mol} \cdot \degree C \), \( C_v = 5 \, {Cal/mol} \cdot \degree C \))
As shown in the figure, a surface encloses an electric dipole with charges \( \pm6 \times 10^{-6} \, {C} \). The total electric flux through the closed surface is:
Match the following (f is the number of degrees of freedom):