IIT-JEE 2007 Paper 2 Offline | JEE Advanced Year Wise Previous Years Questions

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Consider a reaction aG + bH $$\to$$ Products. When concentration of both the reactants G and H is doubled, the rate increases by eight times. However, when concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of the reaction is

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Let $${E^c}$$ denote the complement of an event $$E.$$ Let $$E, F, G$$ be pairwise independent events with $$P\left( G \right) > 0$$ and $$P\left( {E \cap F \cap G} \right) = 0.$$ Then $$P\left( {{E^c} \cap {F^c}|G} \right)$$ equals

$$P\left( {{E^c}} \right) + P\left( {{F^c}} \right)$$

$$P\left( {{E^c}} \right) - P\left( {{F^c}} \right)$$

$$P\left( {{E^c}} \right) - P\left( F \right)$$

$$P\left( E \right) - P\left( {{F^c}} \right)$$

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

A student performs an experiment to determine the Young's modulus of a wire, exactly 2 m long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of $$\pm0.05\;\mathrm{mm}$$ at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of $$\pm0.01\;\mathrm{mm}$$. Take g = 9.8 m/s² (exact). The Young's modulus obtained from the reading is

$$\left(2.0\;\pm\;0.3\right)\times10^{11}\;\mathrm N/\mathrm m^2$$

$$\left(2.0\;\pm\;0.2\right)\times10^{11}\;\mathrm N/\mathrm m^2$$

$$\left(2.0\;\pm\;0.1\right)\times10^{11}\;\mathrm N/\mathrm m^2$$

$$\left(2.0\;\pm\;0.05\right)\times10^{11}\;\mathrm N/\mathrm m^2$$

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

A particle moves in the X - Y plane under the influence of a force such that its linear momentum is $$\overrightarrow p \left( t \right) = A\left[ {\widehat i\cos (kt) - \widehat j\sin (kt)} \right]$$, where A and k are constants. The angle between the force and the momentum is

$$0^\circ $$

$$30^\circ $$

$$45^\circ $$

$$90^\circ $$

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