Question

Match List-I with List-II

where \[ \text{(I)}\;100\,\text{m} \] \[ \text{(II)}\;10^{-15}\,\text{m} \] \[ \text{(III)}\;10^{-10}\,\text{m} \] \[ \text{(IV)}\;10^{-3}\,\text{m} \] Choose the correct answer from the options given below:

• A. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
• B. (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
• C. (A)-(III), (B)-(II), (C)-(I), (D)-(IV)
• D. (A)-(I), (B)-(III), (C)-(IV), (D)-(II)

Hint:

Remember the EM spectrum order: \[ \text{Radio} \rightarrow \text{Microwave} \rightarrow \text{Infrared} \rightarrow \text{Visible} \rightarrow \text{UV} \rightarrow \text{X-ray} \rightarrow \text{Gamma ray} \] As we move towards gamma rays: \[ \lambda \downarrow \] \[ f \uparrow \] \[ E \uparrow \]

Answer 1

The Correct Option is B

Step 1:Match Microwaves. Microwaves typically have wavelengths from \[ 10^{-3}\,\text{m} \] to about \[ 1\,\text{m} \] Hence, \[ (A)\rightarrow(IV) \]

Step 2: Match Gamma Rays. Gamma rays possess the shortest wavelengths. \[ \lambda \approx 10^{-15}\,\text{m} \] Hence, \[ (B)\rightarrow(II) \]

Step 3: Match A.M. Radio Waves. A.M. radio waves have wavelengths of the order of hundreds of metres. \[ \lambda \approx 100\,\text{m} \] Hence, \[ (C)\rightarrow(I) \]

Step 4: Match X-rays. X-rays have wavelengths around \[ 10^{-10}\,\text{m} \] Hence, \[ (D)\rightarrow(III) \]

Step 5: Write the final matching. \[ (A)\rightarrow(IV) \] \[ (B)\rightarrow(II) \] \[ (C)\rightarrow(I) \] \[ (D)\rightarrow(III) \] \[ { (A)-(IV),\ (B)-(II),\ (C)-(I),\ (D)-(III) } \] Hence, the correct option is \[ {(B)} \]