Work Energy And Power Question 42
Question: Two masses of 1 gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is [AIIMS 1987; NCERT 1983; MP PMT 1993; IIT 1980; RPET 1996; CBSE PMT 1997; Orissa JEE 2003; KCET 1999; DCE 2004]
Options:
A) 4 : 1
B) $ \sqrt{2}:1 $
C) 1 : 2
D) 1 : 16
Show Answer
Answer:
Correct Answer: C
Solution:
$ P=\sqrt{2mE}. $
If E are same then $ P\propto \sqrt{m} $
therefore $ \frac{P_1}{P_2}=\sqrt{\frac{m_1}{m_2}}=\sqrt{\frac{1}{4}}=\frac{1}{2} $
