Chapter 5 चुम्बकत्व एवं द्रव्य (Magnetism and Matter) Solutions
Question - 1 : - भू-चुम्बकत्व सम्बन्धी निम्नलिखित प्रश्नों के उत्तर दीजिए-
1. एक सदिश को पूर्ण रूप से व्यक्त करने के लिए तीन राशियों की आवश्यकता होती है। उन तीन स्वतन्त्र राशियों के नाम लिखिए जो परम्परागत रूप से पृथ्वी के चुम्बकीय-क्षेत्र को व्यक्त करने के लिए प्रयुक्त होती हैं।
2. दक्षिण भारत में किसी स्थान पर नति कोण का मान लगभग 18° है। ब्रिटेन में आप इससे अधिक नति कोण की अपेक्षा करेंगे या कम की?
3. यदि आप ऑस्ट्रेलिया के मेलबोर्न शहर में भू-चुम्बकीय क्षेत्र रेखाओं का नक्शा बनाएँ तो ये रेखाएँ पृथ्वी के अन्दर जाएँगी या इससे बाहर आएँगी?
4. एक चुम्बकीय सुई जो ऊर्ध्वाधर तल में घूमने के लिए स्वतन्त्र है, यदि भू-चुम्बकीय उत्तर या दक्षिण ध्रुव पर रखी हो तो यह किस दिशा में संकेत करेगी?
5. यह माना जाता है कि पृथ्वी का चुम्बकीय क्षेत्र लगभग एक चुम्बकीय द्विध्रुव के क्षेत्र जैसा है। जो पृथ्वी के केन्द्र पर रखा है और जिसका द्विध्रुव आघूर्ण 8 x 1022 JT-1 है। कोई ढंग सुझाइए जिससे इस संख्या के परिमाण की कोटि जाँची जा सके।
6. भूगर्भशास्त्रियों का मानना है कि मुख्य N-S चुम्बकीय ध्रुवों के अतिरिक्त, पृथ्वी की सतह पर कई अन्य स्थानीय ध्रुव भी हैं, जो विभिन्न दिशाओं में विन्यस्त हैं। ऐसा होना कैसे सम्भव है?
Answer - 1 : -
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a. पृथ्वी के चुम्बकीय-क्षेत्र को व्यक्त करने के लिए प्रयुक्त होने वाली तीन राशियाँ निम्नलिखित
- नति कोण अथवा नमन कोण δ (Angle of Dip or Angle of Magnetic Inclination)
- दिकुपात का कोण θ (Angle of Declination)
- पृथ्वी के चुम्बकीय-क्षेत्र का क्षैतिज अवयव BH (Horizontal Component of Earth’s Magnetic Field)
b. जी हाँ, चूँकि ब्रिटेन, दक्षिण भारत की तुलना में पृथ्वी के उत्तरी ध्रुव के अधिक समीप है; अतः यहाँ नति कोण अधिक होगा। वास्तव में ब्रिटेन में नति कोण लगभग 70° है।
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a. ऑस्ट्रेलिया, पृथ्वी के दक्षिण गोलार्द्ध में स्थित है। चूंकि पृथ्वी के दक्षिण ध्रुव से चुम्बकीय-क्षेत्र रेखाएँ बाहर निकलती हैं; अतः ये पृथ्वी से बाहर निकलती प्रतीत होंगी।
b. चूँकि ध्रुवों पर पृथ्वी का चुम्बकीय-क्षेत्र ऊर्ध्वाधर होता है; अतः ध्रुवों पर लटकी चुम्बकीय सुई (जो ऊर्ध्वाधर तल में घूमने के लिए स्वतन्त्र है) ऊर्ध्वाधर दिशा की ओर इंगित करेगी।
यदि हम मान लें कि पृथ्वी के केन्द्र पर M चुम्बकीय-आघूर्ण का चुम्बकीय द्विध्रुव रखा है तो पृथ्वी के चुम्बकीय निरक्ष पर स्थित बिन्दुओं की इस द्विध्रुव के केन्द्र से दूरी पृथ्वी की त्रिज्या के बराबर होगी।
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)
a. स्पष्ट है कि पृथ्वी के चुम्बकीय द्विध्रुव आघूर्ण का यह मान 8 x 1022 JT-1 के अत्यन्त निकट है। इस प्रकार पृथ्वी के चुम्बकीय द्विध्रुव आघूर्ण के परिमाण की कोटि की जाँच की जा सकती है।
- यद्यपि पृथ्वी का सम्पूर्ण चुम्बकीय-क्षेत्र, एकल चुम्बकीय द्विध्रुव के कारण माना जाता है अपितु स्थानीय स्तर पर चुम्बकित पदार्थों के भण्डार अन्य चुम्बकीय ध्रुवों का निर्माण करते हैं।
Question - 2 : - निम्नलिखित प्रश्नों के उत्तर दीजिए-
1. एक जगह से दूसरी जगह जाने पर पृथ्वी का चुम्बकीय-क्षेत्र बदलता है। क्या यह समय के साथ भी बदलता है? यदि हाँ, तो कितने समय अन्तराल पर इसमें पर्याप्त परिवर्तन होते हैं?
2. पृथ्वी के क्रोड में लोहा है, यह ज्ञात है। फिर भी भूगर्भशास्त्री इसको पृथ्वी के चुम्बकीय-क्षेत्र का स्रोत नहीं मानते। क्यों?
3. पृथ्वी के क्रोड के बाहरी चालक भाग में प्रवाहित होने वाली आवेश धाराएँ भू-चुम्बकीय क्षेत्र के लिए उत्तरदायी समझी जाती हैं। इन धाराओं को बनाए रखने वाली बैटरी (ऊर्जा स्रोत) क्या हो सकती है?
4. अपने 4-5 अरब वर्षों के इतिहास में पृथ्वी अपने चुम्बकीय-क्षेत्र की दिशा कई बार उलट चुकी होगी। भूगर्भशास्त्री, इतने सुदूर अतीत के पृथ्वी के चुम्बकीय-क्षेत्र के बारे में कैसे जान पाते हैं?
5. बहुत अधिक दूरियों पर (30,000 km से अधिक) पृथ्वी का चुम्बकीय-क्षेत्र अपनी द्विध्रुवीय आकृति से काफी भिन्न हो जाता है। कौन-से कारक इस विकृति के लिए उत्तरदायी हो सकते हैं?
6. अन्तरातारकीय अन्तरिक्ष में 10-12 T की कोटि का बहुत ही क्षीण चुम्बकीय-क्षेत्र होता है। क्या इस क्षीण चुम्बकीय-क्षेत्र के भी कुछ प्रभावी परिणाम हो सकते हैं। समझाइए। [टिप्पणी : प्रश्न 5.2 का उद्देश्य मुख्यतः आपकी जिज्ञासा जगाना है। उपरोक्त कई प्रश्नों के उत्तर या तो काम चलाऊ हैं या अज्ञात हैं। जितना सम्भव हो सका, प्रश्नों के संक्षिप्त उत्तर पुस्तक के अन्त में दिए गए हैं। विस्तृत उत्तरों के लिए आपको भू-चुम्बकत्व पर कोई अच्छी पाठ्यपुस्तक देखनी होगी।]
Answer - 2 : -
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- यद्यपि यह सत्य है कि पृथ्वी का चुम्बकीय क्षेत्र समय के साथ बदलता है, परन्तु चुम्बकीय-क्षेत्र में प्रेक्षण योग्य परिवर्तन के लिए कोई निश्चित समय सीमा निर्धारित नहीं की जा सकती। इसमें सैकड़ों वर्ष का समय भी लग सकता है।
- यह सुज्ञात तथ्य है कि पृथ्वी के क्रोड में पिघला हुआ लोहा है परन्तु इसका ताप लोहे के क्यूरी ताप से कहीं अधिक है। इतने उच्च ताप पर यह (लौह चुम्बकीय नहीं हो सकता) कोई चुम्बकीय-क्षेत्र उत्पन्न नहीं कर सकता।
- यह माना जाता है कि पृथ्वी के गर्भ में उपस्थित रेडियोएक्टिव पदार्थों के विघटन से प्राप्त ऊर्जा ही आवेश धाराओं की ऊर्जा का स्रोत है।
- प्रारम्भ में पृथ्वी के गर्भ में अनेक पिघली हुई चट्टानें थीं जो समय के साथ धीरे-धीरे ठोस होती चली गईं। इन चट्टानों में मौजूद लौह-चुम्बकीय पदार्थ उस समय के पृथ्वी के चुम्बकीय-क्षेत्र के अनुरूप संरेखित हो गए। इस प्रकार भूतकाल का पृथ्वी का चुम्बकीय-क्षेत्र इन चट्टानों में चुम्बकत्व एवं द्रव्य 185 चुम्बकीय पदार्थों के अनुरूपण में अभिलेखित है। इन चट्टानों का भूचुम्बकीय अध्ययन उस समय के पृथ्वी के चुम्बकीय-क्षेत्र का ज्ञान प्रदान करता है।
- पृथ्वी के आयनमण्डल में अनेक आवेशित कण विद्यमान रहते हैं जिनकी गति एक अलग चुम्बकीय-क्षेत्र उत्पन्न करती है। यही चुम्बकीय-क्षेत्र, पृथ्वी तल से अधिक दूरी पर पृथ्वी के चुम्बकीय-क्षेत्र को विकृत कर देता है। आयनों के कारण उत्पन्न चुम्बकीय-क्षेत्र सौर पवन पर निर्भर करता है।
![](data:image/png;base64,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)
4. इससे स्पष्ट है कि अत्यन्त क्षीण चुम्बकीय-क्षेत्र में गतिमान आवेशित कण अति विशाल त्रिज्या का मार्ग अपनाती है जो कि थोड़ी दूरी में लगभग सरल रेखीय प्रतीत होता है; अतः छोटी दूरियों के लिए सूक्ष्म चुम्बकीय-क्षेत्र अप्रभावी प्रतीत होते हैं परन्तु बड़ी दूरियों में ये प्रभावी विक्षेपण उत्पन्न करते हैं।
Question - 3 : - एक छोटा छड़ चुम्बक जो एकसमान बाह्य चुम्बकीय-क्षेत्र 0.25 T के साथ 30° का कोण बनाता है, पर 4.5 x 10-2 Jका बल आघूर्ण लगता है। चुम्बक के चुम्बकीय-आघूर्ण का परिमाण क्या है?
Answer - 3 : -
Question - 4 : - चुम्बकीय-आघूर्ण M = 0.32 JT-1 वाला एक छोटा छड़ चुम्बक, 0.15 T के एकसमान बाह्य चुम्बकीय-क्षेत्र में रखा है। यदि यह छड़ क्षेत्र के तल में घूमने के लिए स्वतन्त्र हो तो क्षेत्र के किस विन्यास में यह
(i) स्थायी सन्तुलन और
(ii) अस्थायी सन्तुलन में होगा? प्रत्येक स्थिति में चुम्बक की स्थितिज ऊर्जा का मान बताइए।
Answer - 4 : -
दिया है, चुम्बक का चुम्बकीय आघूर्ण M = 0.32 जूल/टेस्ला
चुम्बकीय क्षेत्र की तीव्रता B = 0.15 टेस्ला
(i) चुम्बकीय क्षेत्र में छड़ चुम्बक के स्थायी सन्तुलन के लिए
तथा
एक ही दिशा में होने चाहिए, अर्थात् θ = 0 इस स्थिति में चुम्बक की स्थितिज ऊर्जा
U =
.![](data:image/png;base64,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)
= – MB cos θ
= – MB cos 180
= – 0.32 x 0.15 x (-1)
= +0.048 जूल
Question - 5 : - एक परिनालिका में पास-पास लपेटे गए 800 फेरे हैं तथा इसकी अनुप्रस्थ काट का क्षेत्रफल 25 x 10-4 m2 है और इसमें 3.0 A धारा प्रवाहित हो रही है। समझाइए कि किस अर्थ में यह परिनालिका एक छड़ चुम्बक की तरह व्यवहार करती है। इसके साथ जुड़ा हुआ चुम्बकीय-आघूर्ण कितना है?
Answer - 5 : -
चुम्बकीय आघूर्ण M = NiA
M = 800 x 3.0 ऐम्पियर x 2.5 x 10-4 मी2
= 0.600 ऐम्पियर-मीटर
चूँकि परिनालिका को किसी चुम्बकीय क्षेत्र में लटकाने पर दण्ड-चुम्बक के समान ही इस पर भी एक बल-युग्म कार्य करता है, अत: यह दण्ड-चुम्बक के समान व्यवहार करती है।
Question - 6 : - यदि प्रश्न 5 में बताई गई परिनालिका ऊर्ध्वाधर दिशा के परितः घूमने के लिए स्वतन्त्र हो और इस पर क्षैतिज दिशा में एक 0.25 T का एकसमान चुम्बकीय-क्षेत्र लगाया जाए, तो इस परिनालिका पर लगने वाले बल आघूर्ण का परिमाण उस समय क्या होगा, जब इसकी अक्ष आरोपित क्षेत्र की दिशा से 30° का कोण बना रही हो?
Answer - 6 : -
बल-आघूर्ण τ = MB sin θ
τ = (0.600) x (0.25) (sin 30°)
= (0.6 x 0.25 x 0.5) न्यूटन मीटर
= 7.5 x 10-2 न्यूटन-मीटर
Question - 7 : - एक छड़ चुम्बक जिसका चुम्बकीय-आघूर्ण 15 JT-1 है, 0.22 T के एक एकसमान चुम्बकीय-क्षेत्र के अनुदिश रखा है।
(a) एक बाह्य बल आघूर्ण कितना कार्य करेगा यदि यह चुम्बक को चुम्बकीय-क्षेत्र के
(i) लम्बवत
(ii) विपरीत दिशा में संरेखित करने के लिए घुमा दे।
(b) स्थिति
(i) एवं
(ii) में चुम्बक पर कितना बल आघूर्ण होता है।
Answer - 7 : -
दिया है, चुम्बक का चुम्बकीय आघूर्ण M = 1.5 जूल/टेस्ला
चुम्बकीय क्षेत्र की तीव्रता B = 0.22 टेस्ला
θ1 = 0
(a) (i) चुम्बक को चुम्बकीय क्षेत्र के लम्बवत् लाने के लिए
θ2 = 90°
अतः कृत कार्य W= MB [cos θ1 – cos θ2]
= 1.5 x 0.22 x [cos 0 – cos 90°]
= 1.5 x 0.22 x [1 – 0]
= 0.33 जूल
(i) चुम्बक को चुम्बकीय क्षेत्र की विपरीत दिशा में लाने के लिए
θ2 = 180°
अतः कृत कार्य W = MB [cos θ1 – cos θ2]
= 1.5 x 0.22 x [cos 0 – cos 180°]
= 1.5 x 0.22 x [1 – (-1)]
= 0.66 जूल
(b) (i) जब θ2 = 90° तब चुम्बक पर बल-आघूर्ण
t = MB sinθ
= 1.5 x 0.22 x sin 90
= 1.5 x 0.22 x 1
= 0.33 न्यूटन-मीटर
(ii) जब θ2 = 180° तब चुम्बक पर बल-आघूर्ण
t = MB sinθ
= 1.5 x 0.22 x sin 180°
= 1.5 x 0.22 x 0
= 0
Question - 8 : - एक परिनालिका जिसमें पास-पास 2000 फेरे लपेटे गए हैं तथा जिसके अनुप्रस्थ काट का क्षेत्रफल 1.6 x 10-4 mहै और जिसमें 4.0 A की धारा प्रवाहित हो रही है, इसके केन्द्र से इस प्रकार लटकाई गई है कि यह एक क्षैतिज तल में घूम सके।
(a) परिनालिका के चुम्बकीय-आघूर्ण का मान क्या है?
(b) परिनालिका पर लगने वाला बल एवं बल आघूर्ण क्या है, यदि इस पर, इसकी अक्ष से 30° का कोण बनाता हुआ 7.5 x 10-2 Tका एकसमान क्षैतिज चुम्बकीय-क्षेत्र लगाया जाए?
Answer - 8 : -
यहाँ N = 2000, A = 1.6 x 10-4 m, i =4.0 A
(a) परिनालिका का चुम्बकीय आघूर्ण, M = NiA = 2000 x 4.0 x 1.6 x 10-4 =1.28 ऐम्पियर-मीटर
(b) धारावाही परिनालिका (अथवा चुम्बकीय द्विध्रुव) पर एकसमान चुम्बकीय क्षेत्र में नेट बल सदैव शून्य होगा।
परिनालिका पर बल-आघूर्ण, τ = MB sin θ.
यहाँ B = 7.5 x 10-2 T, θ = 30°
τ = 1.28 x 7.5 x 10-2 x sin 30° = 1.28 x 7.5 x 10-2 x0.5 = 48 x 10-2 न्यूटन-मीटर
Question - 9 : - एक वृत्ताकार कुंडली जिसमें 16 फेरे हैं, जिसकी त्रिज्या 10 सेमी है और जिसमें 0.75 A धारा प्रवाहित हो रही है, इस प्रकार रखी है कि इसका तल, 5.0 x 10-2 T परिमाण वाले बाह्य क्षेत्र के लम्बवत है। कुंडली, चुम्बकीय-क्षेत्र के लम्बवत और इसके अपने तल में स्थित एक अक्ष के चारों तरफ घूमने के लिए स्वतन्त्र है। यदि कुंडली को जरा-सा घुमाकर छोड़ दिया जाए तो यह अपनी स्थायी सन्तुलनावस्था के इधर-उधर 2.0 s-1 की आवृत्ति से दोलन करती है। कुंडली का अपने घूर्णन अक्ष के परितः जड़त्व-आघूर्ण क्या है?
Answer - 9 : - दिया है, कुण्डली की त्रिज्या r = 10 सेमी = 0.1 मीटर
कुण्डली में तार के फेरों की संख्या N = 16
कुण्डली में प्रवाहित धारा I = 0.75 ऐम्पियर
चुम्बकीय क्षेत्र की तीव्रता B = 5.0 x 10-2 टेस्ला
कुण्डली की दोलन आवृत्ति f = 2.0 प्रति सेकण्ड
![](data:image/png;base64,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)
Question - 10 : - एक चुम्बकीय सुई चुम्बकीय याम्योत्तर के समान्तर एक ऊध्र्वाधर तल में घूमने के लिए स्वतन्त्र है। इसका उत्तरी ध्रुव क्षैतिज से 22° के कोण पर नीचे की ओर झुका है। इसे स्थान पर चुम्बकीय-क्षेत्र के क्षैतिज अवयव का मान 0.35 G है। इस स्थान पर पृथ्वी के चुम्बकीय-क्षेत्र का परिमाण ज्ञात कीजिए।
Answer - 10 : -
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)