Question
Download Solution PDFजर एखाद्या वस्तूची गतिज उर्जा त्याच्या प्रारंभिक मूल्यापेक्षा 256 पट वाढते, तर नवीन रेखीय संवेग काय असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना : संवेग आणि ऊर्जा यांच्यातील संबंध खालीलप्रमाणे आहेत:
\(\frac{p^2}{2m}=E\)
जेथे, \(p \ \) कणाचा संवेग आहे.
\(m \ \) हे कणाचे वस्तुमान आहे.
\(E \ \) ही कणाची गतिज ऊर्जा आहे.
स्पष्टीकरण :
वस्तूची गतिज ऊर्जा त्याच्या सुरुवातीच्या मूल्याच्या 256 पट होते.
प्रारंभिक गतिज ऊर्जा संवेग \(p_1 \ \) सह E 1 =E मानू.
संवेग \(p_2 \ \) सह अंतिम गतिज ऊर्जा E 2 =256E आहे.
त्यामुळे,
\(\frac{p_2}{p1} = \frac{(\sqrt{2mE_2})}{( \sqrt{2mE_1})}\\ p_2 = p_1 \times \frac{(\sqrt{2mE_2})}{( \sqrt{2mE_1})} = p_1 \sqrt{\frac{E_2}{E_1}} \\ So, p_2 =p_1\sqrt{ \frac{256E} { E}} = 16 p_1\)
म्हणून, अंतिम रेखीय संवेग त्याच्या प्रारंभिक मूल्याच्या 16 पट आहे.
Last updated on Jun 11, 2025
-> The RRB NTPC Admit Card 2025 has been released on 1st June 2025 on the official website.
-> The UPSC Prelims Result 2025 and UPSC IFS Result 2025 has been released @upsc.gov.in
-> Railway Recruitment Board activated the RRB ALP application form 2025 correction link, candidates can make the correction in the application form till 31st May 2025.
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> The Railway Recruitment Board (RRB) has released the official RRB ALP Notification 2025 to fill 9,970 Assistant Loco Pilot posts.
-> The official RRB ALP Recruitment 2025 provides an overview of the vacancy, exam date, selection process, eligibility criteria and many more.
->The candidates must have passed 10th with ITI or Diploma to be eligible for this post.
->The RRB Assistant Loco Pilot selection process comprises CBT I, CBT II, Computer Based Aptitude Test (CBAT), Document Verification, and Medical Examination.
-> This year, lakhs of aspiring candidates will take part in the recruitment process for this opportunity in Indian Railways.
-> Serious aspirants should prepare for the exam with RRB ALP Previous Year Papers.
-> Attempt RRB ALP GK & Reasoning Free Mock Tests and RRB ALP Current Affairs Free Mock Tests here