$100\,^oC$ તાપમાને ગોળાના ફીલામેન્ટનો અવરોધ $100\, \Omega$ છે. જે તેના અવરોધનો તાપમાન ગુણાંક $0.005$ પ્રતિ $\,^oC$ હોય તો ............. $^oC$ તાપમાને તેનો અવરોધ $200\, \Omega$ હશે.?

Question

A$300$
B$400$
C$500$
D$200$

Medium

Download our app for free and get started

Solution

b
${R_t} = \,\,{R_0}\,\,(1 + \alpha t)\,$

$ \Rightarrow \,\,100\,\, = \,\,{R_0}\,(1\,\, + \,\,\alpha \,\, \times \,\,100)$

$ \Rightarrow \,\,200\,\, = \,\,{R_0}\,\,(1 + \alpha t)$

$\frac{1}{2}\,\,\, = \,\,\,\frac{{1\,\, + \,\,\alpha \,\, \times \,\,100}}{{1 + \alpha t}}$

$ \Rightarrow \,\,1\,\, + \,\,\alpha t\,\,\, = \,\,2\,\, + \,\,\,200\,\,\alpha $

$ \Rightarrow \,\,\alpha t\,\, = \,\,1\,\, + \,\,200\,\,\alpha $

$t\,\, = \,\,\frac{1}{\alpha }\,\, + \,\,200\,\, = \,\,\,\frac{{1000}}{5}\,\, + \,\,200\,\,\, = \,\,\,400\,^oC$

Download our app
and get started for free

Similar Questions

Download our appand get started for free

Similar Questions

Download our app
and get started for free