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Shown are several curves (Figure). Explain with reason, which ones amongst them can be possible trajectories traced by a projectile (neglect air friction).
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Six point masses of mass m each are at the vertices of a regular hexagon of side l. Calculate the force on any of the masses.
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Modulus of rigidity of ideal liquids is ______.
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Modulus of rigidity of ideal liquids is ______.
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The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will ______.
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A spring is stretched by applying a load to its free end. The strain produced in the spring is ______.
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A mild steel wire of length 2L and cross-sectional area A is stretched, well within elastic limit, horizontally between two pillars (Figure). A mass m is suspended from the mid point of the wire. Strain in the wire is ______.

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A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports (Figure). It can be done in one of the following three ways;
| (a) | ![]() |
| (b) | ![]() |
| (c) | ![]() |
The tension in the strings will be ______.
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Consider two cylindrical rods of identical dimensions, one of rubber and the other of steel. Both the rods are fixed rigidly at one end to the roof. A mass M is attached to each of the free ends at the centre of the rods.
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A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.
- Tensile stress at any cross section A of the wire is F/A.
- Tensile stress at any cross section is zero.
- Tensile stress at any cross section A of the wire is 2F/A.
- Tension at any cross section A of the wire is F.
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A rod of length l and negligible mass is suspended at its two ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths (Figure). The cross-sectional areas of wires A and B are 1.0 mm2 and 2.0 mm2, respectively.
(YAl = 70 × 109 Nm−2 and Ysteel = 200 × 109 Nm–2)

- Mass m should be suspended close to wire A to have equal stresses in both the wires.
- Mass m should be suspended close to B to have equal stresses in both the wires.
- Mass m should be suspended at the middle of the wires to have equal stresses in both the wires.
- Mass m should be suspended close to wire A to have equal strain in both wires.
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Is stress a vector quantity?
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Consider a long steel bar under a tensile stress due to forces F acting at the edges along the length of the bar (Figure). Consider a plane making an angle θ with the length. What are the tensile and shearing stresses on this plane

- For what angle is the tensile stress a maximum?
- For what angle is the shearing stress a maximum?
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The graph between two temperature scales A and B is shown in figure. Between upper fixed point and lower fixed point there are 150 equal division on scale A and 100 on scale B. The relationship for conversion between the two scales is given by ______.

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The graph between two temperature scales A and B is shown in figure. Between upper fixed point and lower fixed point there are 150 equal division on scale A and 100 on scale B. The relationship for conversion between the two scales is given by ______.

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Calculate the temperature which has same numeral value on celsius and Fahrenheit scale.
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Calculate the temperature which has same numeral value on celsius and Fahrenheit scale.
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Which of the following diagrams (Figure) depicts ideal gas behaviour?
![]() (a) |
![]() (b) |
![]() (c) |
![]() (d) |
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Calculate the number of atoms in 39.4 g gold. Molar mass of gold is 197g mole–1.
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A box of 1.00 m3 is filled with nitrogen at 1.50 atm at 300K. The box has a hole of an area 0.010 mm2. How much time is required for the pressure to reduce by 0.10 atm, if the pressure outside is 1 atm.
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