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The magnetic moment of a magnet is 3.6xx...

The magnetic moment of a magnet is `3.6xx10^(-3)A.m^(2)`. Its pole strength is `120`mili amp.M`. Its magnetic length is

A

3cm

B

0.3 cm

C

3.3 cm

D

33 cm

Text Solution

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The correct Answer is:
To find the magnetic length of the magnet, we can use the formula that relates magnetic moment (M), pole strength (p), and magnetic length (l): \[ l = \frac{M}{p} \] ### Step 1: Identify the given values - Magnetic moment (M) = \(3.6 \times 10^{-3} \, \text{A m}^2\) - Pole strength (p) = \(120 \, \text{milliampere meter} = 120 \times 10^{-3} \, \text{A m}\) ### Step 2: Substitute the values into the formula Now, we substitute the values of M and p into the formula: \[ l = \frac{3.6 \times 10^{-3}}{120 \times 10^{-3}} \] ### Step 3: Simplify the expression We can simplify the fraction: \[ l = \frac{3.6}{120} \, \text{m} \] ### Step 4: Calculate the numerical value Now, we perform the division: \[ l = \frac{3.6}{120} = 0.03 \, \text{m} \] ### Step 5: Convert to centimeters To convert meters to centimeters, we multiply by 100: \[ l = 0.03 \, \text{m} \times 100 = 3 \, \text{cm} \] ### Final Answer Thus, the magnetic length of the magnet is: \[ \boxed{3 \, \text{cm}} \] ---
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