剑桥面试官公开面试真题

前天，一位曾连续9年担任剑桥大学自然科学领域面试官的Dr. Austen Lamacraft，在社交平台上分享了他曾经在面试时给学生提出的问题，希望对正在准备的你有所帮助。

Dr. Austen Lamacraft剑桥大学自然科学专业本科
剑桥大学数学专业硕士剑桥大学理论物理专业博士
连续9年担任剑桥大学自然科学领域面试官
Dr. Austen Lamacraft表示，他出的大部分问题都是关于一些物理和数学问题的结合，当然还有一些其他风格的问题，一起来看：

2012年
“You're been running on a treadmill for a time T. Your current speed is v and the treadmill says your average speed is u. Find an expression for the rate at which your average speed is changing.

2013年
“How does the tension in a rope vary as it winds around a cylinder with coefficient of static friction μ?

2014年
“A dipole is a pair of opposite charges. Two parallel dipoles are separated by a distance much greater than their size. When the separation is perpendicular to the dipoles' axis, do the dipoles attract or repel? What about when their separation is parallel to their axis?

2015年
“Sketch this function. Find the gradient and sketch it. Find where the gradient has a minimum.

2016年
“Drops flying from a spinning wheel.（附解题思路）

2017年
“What are complex numbers for? Represent a point in 2D using a complex number's magnitude and phase, and differentiate with respect to time to find velocity and acceleration.

2018年
“Which is bigger? e^