**1**

A smooth block is released at rest on a 45° incline and then slides a distance d. The time taken to slide is n times as much to slide on rough incline, than on a smooth incline. The coefficient of friction is

**2**

An AC source of angular frequency ω is fed across a resistor R and a capacitor C in series. The current registered is I. If now the frequency of source is changed to ω/3 (but maintaining the same voltage), the current in then circuit is found to be halved. Calculate the ratio of reactance to resistance at the original frequency ω

**3**

Three point charges +q, -2q and +q are placed at points (x = 0, y = a, z = 0), (x = 0, y = 0, z = 0) and (x = a, y = 0, z = 0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

**4**

The adjacent graph shows the extension (Δl) of a wire of length 1 m suspended from the top of a root at one end with a load W connected to the other end.. If the cross-sectional area of the wire is 10^{-6} m^{2}, calculate the Young's modulus of the material of the wire.

**5**

In a photoemissive cell with executing wavelength λ, the fastest electron has speed v. If the exciting wavelength is changed to 3λ/4, the speed of the fastest emitted electron will be