दो कणों के द्रव्यमान क्रमशः `m_(1)` तथा `m_(2)` हैं, इनके प्रारम्भिक वेग क्रमशः `u_(1)` तथा `u_(2)` हैं। टक्कर के पश्चात एक कण E ऊर्जा अवशोषित कर उच्चतर स्तर तक उत्तेजित हो जाता है। यदि कणों के अंतिम वेग क्रमशः `v_(1)` तथा `v_(2)` हों, तो
A. `(1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)u_(2)^(2)=(1)/(2)m_(1)v_(1)^(2)+(1)/(2)m_(2)v_(2)^(2)-E`
B. `(1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)u_(2)^(2)-E=(1)/(2)m_(1)v_(1)^(2)+(1)/(2)m_(2)v_(2)^(2)`
C. `(1)/(2)m_(1)^(2)u_(1)^(2)+(1)/(2)m_(2)^(2)u_(2)^(2)+E=(1)/(2)m_(1)^(2)v_(1)^(2)+(1)/(2)m_(2)^(2)v_(2)^(2)`
D. `m_(1)^(2)+m_(2)^(2)u_(2)-E=m_(1)^(2)v_(1)+m_(2)^(2)v_(2)`.
A. `(1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)u_(2)^(2)=(1)/(2)m_(1)v_(1)^(2)+(1)/(2)m_(2)v_(2)^(2)-E`
B. `(1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)u_(2)^(2)-E=(1)/(2)m_(1)v_(1)^(2)+(1)/(2)m_(2)v_(2)^(2)`
C. `(1)/(2)m_(1)^(2)u_(1)^(2)+(1)/(2)m_(2)^(2)u_(2)^(2)+E=(1)/(2)m_(1)^(2)v_(1)^(2)+(1)/(2)m_(2)^(2)v_(2)^(2)`
D. `m_(1)^(2)+m_(2)^(2)u_(2)-E=m_(1)^(2)v_(1)+m_(2)^(2)v_(2)`.
Correct Answer – B
ऊर्जा संरक्षण से
`(1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)u_(2)^(2)=(1)/(2)m_(1)v_(1)^(2)+(1)/(2)m_(2)v_(2)^(2)+E`
`therefore (1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)u_(2)^(2)-E=(1)/(2)m_(1)v_(1)^(2)+(1)/(2)m_(2)v_(2)^(2).`