Question

The number of $\alpha$-particles scattered per unit area $N\left(\theta \right)$ at scattering angle $\theta$ varies inversely as

• A. ${\cos }^4\left(\frac{\theta }{2}\right)$
• B. ${\sin }^4\left(\frac{\theta }{2}\right)$
• C. ${\tan }^4\left(\frac{\theta }{2}\right)$
• D. ${\cot }^4\left(\frac{\theta }{2}\right)$

Answer 1

The correct option is B ${\sin }^4\left(\frac{\theta }{2}\right)$

The no. of $\alpha$ particle $N\left(\theta \right)$ scattered at an angle $\theta$ follows the relations: $N\left(\theta \right)\alpha \frac{1}{{\sin }^4\theta }$.