03. ELECTRIC FIELD
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NEET DIGITAL LIBRARY
Electric Charges and Fields

267851 Two point charges\(Q\) and \(-3 Q\) are placed some distnace apart. If the eectic field at the location of \(\mathbf{Q}\) is \(\vec{E}\), the field at the location of \(-3 Q\) is

1 \(\vec{E}\)
2 \(-\vec{E}\)
3 \(+\frac{\vec{E}}{3}\)
4 \(-\frac{\vec{E}}{3}\)
Electric Charges and Fields

267852 A mass \(m\) carrying a charge \(q\) is suspended from a string and placed in a uniform horizontal electric field of intensity \(E\). The angle made bythestring with thevertical in the equilibrium position is

1 \(\theta=\tan ^{-1} \frac{m g}{E q}\)
2 \(\theta=\tan ^{-1} \frac{m}{E q}\)
3 \(\theta=\tan ^{-1} \frac{E q}{m}\)
4 \(\theta=\tan ^{-1} \frac{E q}{m g}\)
Electric Charges and Fields

267853 A proton of mass ' \(m\) ' charge ' \(e\) ' is released from rest in a uniform electric field of strength ' \(E\) '. The time taken by it to travel a distance '\(d\) ' in the field is

1 \(\sqrt{\frac{2 d e}{m E}}\)
2 \(\sqrt{\frac{2 d m}{E e}}\)
3 \(\sqrt{\frac{2 d E}{m e}}\)
4 \(\sqrt{\frac{2 E e}{d m}}\)
Electric Charges and Fields

267854 An infinite number of charges each ofmagnitudeq are placed on \(x\) - axis at distances of \(1,2,4,8, \ldots\) meter from the origin. The intensity of the electric field at origin is

1 \(\frac{q}{3 \pi \varepsilon_{0}}\)
2 \(\frac{q}{6 \pi \varepsilon_{0}}\)
3 \(\frac{q}{2 \pi \varepsilon_{0}}\)
4 \(\frac{q}{4 \pi \varepsilon_{0}}\)
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Electric Charges and Fields

267851 Two point charges\(Q\) and \(-3 Q\) are placed some distnace apart. If the eectic field at the location of \(\mathbf{Q}\) is \(\vec{E}\), the field at the location of \(-3 Q\) is

1 \(\vec{E}\)
2 \(-\vec{E}\)
3 \(+\frac{\vec{E}}{3}\)
4 \(-\frac{\vec{E}}{3}\)
Electric Charges and Fields

267852 A mass \(m\) carrying a charge \(q\) is suspended from a string and placed in a uniform horizontal electric field of intensity \(E\). The angle made bythestring with thevertical in the equilibrium position is

1 \(\theta=\tan ^{-1} \frac{m g}{E q}\)
2 \(\theta=\tan ^{-1} \frac{m}{E q}\)
3 \(\theta=\tan ^{-1} \frac{E q}{m}\)
4 \(\theta=\tan ^{-1} \frac{E q}{m g}\)
Electric Charges and Fields

267853 A proton of mass ' \(m\) ' charge ' \(e\) ' is released from rest in a uniform electric field of strength ' \(E\) '. The time taken by it to travel a distance '\(d\) ' in the field is

1 \(\sqrt{\frac{2 d e}{m E}}\)
2 \(\sqrt{\frac{2 d m}{E e}}\)
3 \(\sqrt{\frac{2 d E}{m e}}\)
4 \(\sqrt{\frac{2 E e}{d m}}\)
Electric Charges and Fields

267854 An infinite number of charges each ofmagnitudeq are placed on \(x\) - axis at distances of \(1,2,4,8, \ldots\) meter from the origin. The intensity of the electric field at origin is

1 \(\frac{q}{3 \pi \varepsilon_{0}}\)
2 \(\frac{q}{6 \pi \varepsilon_{0}}\)
3 \(\frac{q}{2 \pi \varepsilon_{0}}\)
4 \(\frac{q}{4 \pi \varepsilon_{0}}\)
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Electric Charges and Fields

267851 Two point charges\(Q\) and \(-3 Q\) are placed some distnace apart. If the eectic field at the location of \(\mathbf{Q}\) is \(\vec{E}\), the field at the location of \(-3 Q\) is

1 \(\vec{E}\)
2 \(-\vec{E}\)
3 \(+\frac{\vec{E}}{3}\)
4 \(-\frac{\vec{E}}{3}\)
Electric Charges and Fields

267852 A mass \(m\) carrying a charge \(q\) is suspended from a string and placed in a uniform horizontal electric field of intensity \(E\). The angle made bythestring with thevertical in the equilibrium position is

1 \(\theta=\tan ^{-1} \frac{m g}{E q}\)
2 \(\theta=\tan ^{-1} \frac{m}{E q}\)
3 \(\theta=\tan ^{-1} \frac{E q}{m}\)
4 \(\theta=\tan ^{-1} \frac{E q}{m g}\)
Electric Charges and Fields

267853 A proton of mass ' \(m\) ' charge ' \(e\) ' is released from rest in a uniform electric field of strength ' \(E\) '. The time taken by it to travel a distance '\(d\) ' in the field is

1 \(\sqrt{\frac{2 d e}{m E}}\)
2 \(\sqrt{\frac{2 d m}{E e}}\)
3 \(\sqrt{\frac{2 d E}{m e}}\)
4 \(\sqrt{\frac{2 E e}{d m}}\)
Electric Charges and Fields

267854 An infinite number of charges each ofmagnitudeq are placed on \(x\) - axis at distances of \(1,2,4,8, \ldots\) meter from the origin. The intensity of the electric field at origin is

1 \(\frac{q}{3 \pi \varepsilon_{0}}\)
2 \(\frac{q}{6 \pi \varepsilon_{0}}\)
3 \(\frac{q}{2 \pi \varepsilon_{0}}\)
4 \(\frac{q}{4 \pi \varepsilon_{0}}\)
NEET DIGITAL LIBRARY
Electric Charges and Fields

267851 Two point charges\(Q\) and \(-3 Q\) are placed some distnace apart. If the eectic field at the location of \(\mathbf{Q}\) is \(\vec{E}\), the field at the location of \(-3 Q\) is

1 \(\vec{E}\)
2 \(-\vec{E}\)
3 \(+\frac{\vec{E}}{3}\)
4 \(-\frac{\vec{E}}{3}\)
Electric Charges and Fields

267852 A mass \(m\) carrying a charge \(q\) is suspended from a string and placed in a uniform horizontal electric field of intensity \(E\). The angle made bythestring with thevertical in the equilibrium position is

1 \(\theta=\tan ^{-1} \frac{m g}{E q}\)
2 \(\theta=\tan ^{-1} \frac{m}{E q}\)
3 \(\theta=\tan ^{-1} \frac{E q}{m}\)
4 \(\theta=\tan ^{-1} \frac{E q}{m g}\)
Electric Charges and Fields

267853 A proton of mass ' \(m\) ' charge ' \(e\) ' is released from rest in a uniform electric field of strength ' \(E\) '. The time taken by it to travel a distance '\(d\) ' in the field is

1 \(\sqrt{\frac{2 d e}{m E}}\)
2 \(\sqrt{\frac{2 d m}{E e}}\)
3 \(\sqrt{\frac{2 d E}{m e}}\)
4 \(\sqrt{\frac{2 E e}{d m}}\)
Electric Charges and Fields

267854 An infinite number of charges each ofmagnitudeq are placed on \(x\) - axis at distances of \(1,2,4,8, \ldots\) meter from the origin. The intensity of the electric field at origin is

1 \(\frac{q}{3 \pi \varepsilon_{0}}\)
2 \(\frac{q}{6 \pi \varepsilon_{0}}\)
3 \(\frac{q}{2 \pi \varepsilon_{0}}\)
4 \(\frac{q}{4 \pi \varepsilon_{0}}\)
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