1
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-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

A
$$\left(2.0\;\pm\;0.3\right)\times10^{11}\;\mathrm N/\mathrm m^2$$
B
$$\left(2.0\;\pm\;0.2\right)\times10^{11}\;\mathrm N/\mathrm m^2$$
C
$$\left(2.0\;\pm\;0.1\right)\times10^{11}\;\mathrm N/\mathrm m^2$$
D
$$\left(2.0\;\pm\;0.05\right)\times10^{11}\;\mathrm N/\mathrm m^2$$
2
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-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
A
$$0^\circ $$
B
$$30^\circ $$
C
$$45^\circ $$
D
$$90^\circ $$
3
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

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

A
prongs of the tuning fork are kept in a vertical plane
B
prongs of the tuning fork are kept in a horizontal plane
C
in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air
D
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
4
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

A small object of uniform density rolls up a curved surface with an initial velocity $$v$$. It reaches up to a maximum height of $$\frac{3 v^{2}}{4 g}$$ with respect to the initial position. The object is

IIT-JEE 2007 Paper 2 Offline Physics - Rotational Motion Question 5 English

A
ring
B
solid sphere
C
hollow sphere
D
disc
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