Day 141: JEE Mains Physics

1. A.
   $\frac{1}{\lambda}\ln\left( \frac{3}{2} \right)$
2. B.
   $\lambda\left( \ln\left( \frac{3}{2} \right) \right)$
3. C.
   $\frac{1}{\lambda}\ln\left( \frac{2}{3} \right)$
4. D.
   $\lambda \ln\left( \frac{2}{3} \right)$

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1. A.
   $2\pi\sqrt{\frac{\left( r_{1} + r_{2} \right)^{3}}{G\left( m_{1} + m_{2} \right)}}$
2. B.
   $2\pi\sqrt{\frac{\left( r_{1} + r_{2} \right)r_{2}^{2}}{G\left( m_{1} + m_{2} \right)}}$
3. C.
   $\frac{2\pi\left( r_{1} + r_{2} \right)^{\frac{3}{2}}}{\sqrt{G\left( m_{1} + m_{2} \right)}}$
4. D.
   $\frac{2\pi\left( r_{1} + r_{2} \right)^{2}r_{1}}{G\left( m_{1} + m_{2} \right)}$

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1. A.
   60 minutes
2. B.
   does not change
3. C.
   1200 minutes
4. D.
   84 minutes

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1. A.
   $0.69 \times 10^{2}\text{ }kg{\text{ }s}^{- 1}$
2. B.
   $3.3 \times 10^{2}\text{ }kg{\text{ }s}^{- 1}$
3. C.
   $1.16 \times 10^{2}\text{ }kg{\text{ }s}^{- 1}$
4. D.
   None of these

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1. A.
   (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
2. B.
   (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
3. C.
   (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
4. D.
   (A)-(I), (B)-(IV), (C)-(III), (D)-(II)

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