IGNOU MTE 14 2026 - Characterise the following as discrete or continuous giving reas

Question

Characterise the following as discrete or continuous giving reasons for your answers.

i) Effects of radiation treatment on a tumour when applied for short period of time but at regular intervals.

ii) Effects of chemotherapy drugs on a tumour when introduced into a patient for a given duration of time.
b) A particle of mass m moves on a straight line towards the centre of attraction, starting from rest at a distance a from the centre. Its velocity at a distance x from the centre varies as $\sqrt{\frac{a^3 - x^3}{x^3}}$ . Find the law of force.
c) If a planet was suddenly stopped in its orbit, supposed circular, show that it will fall into the sun in a time which is $\frac{\sqrt{2}}{8}$ times the period of the planet’s revolution.

09 Jan 2026

Answer :

Word Count : 432

i) जब विकिरण उपचार थोड़े समय के लिए लेकिन नियमित अंतराल पर दिया जाता है, तब ट्यूमर पर उसका प्रभाव असतत (discrete) माना जाएगा, क्योंकि उपचार निरंतर नहीं बल्कि निश्चित-निश्चित समय बिंदुओं पर दिया जाता है। प्रत्येक सत्र पर प्रभाव अलग-अलग घटित होता है और बीच के समय में कोई प्रत्यक्ष विकिरण प्रभाव नहीं पड़ता, इसलिए प्रभाव समय के साथ निरंतर न होकर चरणबद्ध होता है। ii) कीमोथेरेपी दवाओं का प्रभाव तब सतत (continuous) माना जाएगा जब उन्हें किसी निश्चित अवधि तक शरीर में प्रविष्ट कराया जाता है। इस स्थिति में दवा का प्रभाव समय के साथ निरंतर रूप से बदलता रहता है, क्योंकि दवा रक्त प्रवाह के माध्यम से लगातार ट्यूमर

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