1
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
$$90^\circ $$
2
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
3
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
4
IIT-JEE 2007 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1

Water is filled up to a height $$h$$ in a beaker of radius $$R$$ as shown in the figure. The density of water is $$\rho$$, the surface tension of water is $$T$$ and the atmospheric pressure is P. Consider a vertical section $$A B C D$$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude

IIT-JEE 2007 Paper 2 Offline Physics - Properties of Matter Question 2 English

A
$$\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R}^{2} \rho g h-2 \mathrm{RT}\right|$$
B
$$\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R \rho gh}^{2}-2 \mathrm{RT}\right|$$
C
$$\left|P_{0} \pi R^{2}+R \rho g h^{2}-2 R T\right|$$
D
$$\left|\mathrm{P}_{0} \mathrm{R}^{2}+\mathrm{R} \rho g \mathrm{~h}^{2}+2 \mathrm{RT}\right|$$
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