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

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

$$0^\circ $$

$$30^\circ $$

$$45^\circ $$

$$90^\circ $$

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

In the experiment to determine the speed of sound using a resonance column,

prongs of the tuning fork are kept in a vertical plane

prongs of the tuning fork are kept in a horizontal plane

in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air

in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air