the threashold frequency `v_(0)` for a metal is `7xx10^(14)s^(-1)` . Calculate the kinetic energy of an electron emitted when radiation of fequency `v = 1.0 xx 10^(15)s^(-1)` hits the metal .

Explanation

To solve the problem of calculating the kinetic energy of an electron emitted when radiation of frequency \( v = 1.0 \times 10^{15} \, \text{s}^{-1} \) hits a metal with a threshold frequency \( v_0 = 7 \times 10^{14} \, \text{s}^{-1} \), we can follow these steps:

### Step 1: Understand the Photoelectric Effect
The photoelectric effect states that when light of sufficient frequency strikes a metal surface, it can eject electrons from that surface. The minimum frequency required to eject an electron is called the threshold frequency (\( v_0 \)).

### Step 2: Use the Photoelectric Equation
The kinetic energy (KE) of the emitted electron can be calculated using the photoelectric equation:
\[
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