સમતલ વિદ્યુત ચુંબકીય તરંગમાં દોલીત ચુંબકીય ક્ષેત્ર \(B _y=5 \times 10^{-6} \sin 1000 \pi\left(5 x-4 \times 10^8 t \right)\; T\) વડે આપવામાં આવે છે. વિદ્યુતક્ષેત્રનો કંપવિસ્તાર \(.........\) થશે.

A \(15 \times 10^{2}\,Vm ^{-1}\)
B \(5 \times 10^{-6} \,Vm ^{-1}\)
C \(16 \times 10^{12} \,Vm ^{-1}\)
D \(4 \times 10^{2} \,Vm ^{-1}\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(4 \times 10^{2} \,Vm ^{-1}\)

Step-by-step Solution

Detailed explanation

\(B _{0}=5 \times 10^{-6}\) \(v =\) Speed of wave \(=\frac{4 \times 10^{8}}{5}=8 \times 10^{7}\left[\therefore v =\frac{ w }{ k }\right]\) \(E _{0}= vB B _{0}=40 \times 10^{1}\) \(=4 \times 10^{2} V / m\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

સૂચિ \(I\) અને સૂચિ \(II\) ને મેળવો.

સૂચિ \(I\)	સૂચિ \(II\)
\((A)\) પૃષ્ઠતાણ	\((I)\) \(Kg m ^{-1} s ^{-1}\)
\((B)\) દબાણ	\((II)\) \(Kg ms^{-1 }\)
\((C)\) સ્નિગ્ધતા	\((III)\) \(Kg m ^{-1} s ^{-2}\)
\((D)\) આઘાત	\((IV)\) \(Kg s ^{-2}\)

નીચે આપેલા વિકલ્પોમાંથી સાચો ઉતર પસંદ કરો

JEE Mains 2023 Medium

Explore more questions on app

From JEE Mains

Explore more questions on app