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Answer to Question #8777 in Solid State Physics for savukaraj

Question #8777
1. A sample of germanium shows no Hall effect. If the mobility of electrons in germanium is 3500 cm cube/v. see and that of holes is 1400cm cube/v. see. What fraction of the current in the sample is carried by the electrons?
Expert's answer
From the data given below calculate the value of first and third quartiles, second and ninth deciles and forty-fifth and fifty-seventh percentiles.
&
Height in
centimeters Number of
students Cumulative
frequency
161-167 79 79
167-173 92 171
173-179 60 231
179-185 22 253
185-191 5 258
191-197 2 260
Total 260


Since there are 260 total, the 1st quartile is at 260/4 = 65,
the 3rd quartiile is 3*65 = 195,
the 2nd decile is at 3*21 = 63,
the 9th decile is at 9*21 = 189,
the 45th percentile is at 45*210/100 = 94.5,
and the 57th percentile is at 57*210/100 = 119.7.

Using the last column, 65 is less than 79, so it is 161-167;
195 is greater than 171, but less than 231, so it is 173-179;
63 is less than 79, so it is 161-167,
189 is greater than 171, but less than 231, so it is 173-179;
94.5 is greater than 79, but less than 171, so it is 167-173; and
119.7 greater than 79 but less than 171, so it is is 167-173.

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