When a sample is inserted into a solenoid carrying a constant current,the magnetic field inside the solenoid increases by 0.005%.What is the magnetic susceptibility of the sample? A)-5 $\times$ 10^-5 B)+5 $\times$ 10^-5 C)3.6 $\times$ 10^-5 D)-3.6 $\times$ 10^-5 E)More information is needed to answer this question.

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The magnetic susceptibility ($\chi$) of a material is a dimensionless proportionality constant that indicates the degree of magnetization of a material in response to an applied magnetic field. The increase in the magnetic field inside the solenoid when the sample is inserted indicates that the sample is magnetically susceptible. The percentage increase in the magnetic field is given as 0.005%, which can be expressed as 0.005/100 = 0.00005. Magnetic susceptibility is related to the relative increase in the magnetic field due to the presence of the material. Since the magnetic field increased by a factor of 0.00005, the magnetic susceptibility of the sample is +5 × 10^-5, which corresponds to choice B.

When a Sample Is Inserted into a Solenoid Carrying a Constant