Recent questions tagged class11

Two wires of different materials are used to hang a rod horizontally tied from two ends of the rod of length $2m$. At what distance should a weight be hung on the rod from Wire-1 so that equal stresses are produced on both the wires. Wire 1: cross -sectional area $= 10^{-3}m^{2}$. Young's modulus $= 2 \times 10^{11} N/m^2$ Wire 2 : cross -sectional area $= 2 \times 10^{-3} m^{2}$. Young's modulus $= 1 \times 10^{11} N/m^2$

asked Oct 7, 2013 by meena.p

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$\sin\large\frac{9\pi}{14}$$\sin\large\frac{11\pi}{14}$$\sin\large\frac{13\pi}{14}$ is equal to

asked Oct 7, 2013 by sreemathi.v

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Two lines drawn through a point on the circumference of a circle divided the circle into three regions of equal area.Then the angle $\theta$ between the line is given by

asked Oct 7, 2013 by sreemathi.v

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A object of mass $5.0\;g$ is projected into air using a rubber string of cross sectional area of $1;mm^2$. The length of the chord when it was unstretched is 10.0 cm. It is then stretched to 12 cm to project the object . The young's modulus of rubber is $5.0 \times 10^8 n/m^2$. The velocity of projectile is (assuming all the energy of string is transferred to projectile)

asked Oct 7, 2013 by meena.p

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The angle between minute hand and hour hand of a clock at "half past 4" equals

asked Oct 7, 2013 by sreemathi.v

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If $a\sin\theta+5\cos\theta=5$ then the value of $5\sin\theta-3\cos\theta$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

A highly rigid cubical block A of small mass M and side L is fixed rigidly to another cubical block B of the same dimensions and modulus of rigidity $\eta$ Such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on horizontal surface. A small force is applied perpendicular to one of the side face of A. After the force is withdrawn block A executes small oscillations the time period of which is given by

asked Oct 7, 2013 by meena.p

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If $\rho$ is density of the material of a wire and $\sigma$ is the breaking stress. The greatest length of wire that can hang freely without breaking is

asked Oct 7, 2013 by meena.p

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If $A=\cos^2\theta+\sin^4\theta$ then for all value of $\theta$

asked Oct 7, 2013 by sreemathi.v

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If $\large\frac{1+\sin 2x}{1-\sin 2x}$$=\cot^2(a+x)$ $\forall x\in R\sim \big(n\pi+\large\frac{\pi}{4}\big)$$ n\in N$ then $'a'$ is equal to

asked Oct 7, 2013 by sreemathi.v

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Siphon is a device to transfer liquid from a higher level to lower level. The condition of working of siphon is

asked Oct 7, 2013 by meena.p

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If $\sin x+\sin^2 x=1$ then the value of $\cos^2x+3\cos^{10}x+3\cos^8 x+\cos^6x$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

If $\cos x=\large\frac{2\cos y-1}{2-\cos y}$ where $x,y\in (0,\pi)$ then $\tan\large\frac{x}{2}$$.\cot\large\frac{y}{2}$ is equal to

asked Oct 7, 2013 by sreemathi.v

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If the ratio of lengths , radii and Young's modulli of two wires in the figure shown are 2,4, and 1 respectively. Then the corresponding ratio of increase in their length will be

asked Oct 7, 2013 by meena.p

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If $A+B=\large\frac{\pi}{3}$ where $A,B\in R^+$ then the minimum value of $\sec A+\sec B$ is equal to

asked Oct 7, 2013 by sreemathi.v

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The numerical value of $\tan 20^{\circ}\tan 80^{\circ}\cot 50^{\circ}$ is equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

In the arrangement shown in figure $\large\frac{m_A}{m_B}=\frac{2}{3}$ and ratio of density of block B and of the liquid is $2:1$ The system is released from resat. Then

asked Oct 7, 2013 by meena.p

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If $\alpha+\beta+\gamma=\pi$ then the value of $\sin^2\alpha+\sin^2\beta-\sin^2\gamma$ is equal to

asked Oct 7, 2013 by sreemathi.v

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The maximum value of $\sin(\cos x)$ is equal to

asked Oct 7, 2013 by sreemathi.v

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If in a $\Delta ABC$ $\angle C=90^{\circ}$ then the maximum value of $\sin A\sin B$ is

asked Oct 7, 2013 by sreemathi.v

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The maximum value of $4\sin^2x+3\cos^2x+\sin\large\frac{x}{2}$$+\cos\large\frac{x}{2}$ is

asked Oct 7, 2013 by sreemathi.v

1 answer

In $\sin x=-\cos^2x$ then $\cos^2x(1+\cos^2x)$ equals

asked Oct 7, 2013 by sreemathi.v

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The minimum value of $\cos(\cos x)$ is

asked Oct 7, 2013 by sreemathi.v

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The maximum and minimum values of $7\cos\theta+24\sin\theta$ are equal to

asked Oct 7, 2013 by sreemathi.v

1 answer

The number of integral terms in the expansion of $(5^{\large\frac{1}{2}}$$+7^{\large\frac{1}{8}}$$)^{1024}$ is ?

asked Oct 5, 2013 by rvidyagovindarajan_1

1 answer

Power required to raise $300 liters$ of water per minute through a height of 6m using a pipe of diameter 2.4 cm is $(g=10 m/s^2)$

asked Oct 4, 2013 by meena.p

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A wooden cube is floating in water when a mass $m= 0.2\;kg$ is kept on its top, When the mass is removed the cube rises by $2 \;cm$. The side of the cube is [density of water $=10^3 kg/m^3$]

asked Oct 4, 2013 by meena.p

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A rubber balloon has $200\;g$ water in it . It's weight in water will be (neglecting the weight of balloon)

asked Oct 4, 2013 by meena.p

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When at rest a liquid stands at same level in the tubes shown . But as indicated a height difference of 'h' occurs when the system is given an acceleration towards right. then 'h' equals

asked Oct 4, 2013 by meena.p

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Two liquids which do not react chemically are placed in a bent tube as shown. The heights of liquids above their surface of separation (Common surface) are

asked Oct 4, 2013 by meena.p

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If $\theta=\large\frac{\pi}{2^n+1}$ then $\cos \theta\cos 2\theta\cos 2^2\theta......\cos2^{n-1}\theta$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

A uniform rod of length $2.0 m$ specific $0.5$ and mass$2 \;kg$ is hinged at one end to bottom of tank of water (Specific gravity =1.0) filled upto a height of $1m$. as shown when $\theta \neq 0$. the force exerted by hinge on the rod is $(g=10 \;m/s^2)$

asked Oct 4, 2013 by meena.p

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If $\tan^2\theta=2\tan^2\phi+1$ then $\cos 2\theta+\sin^2\phi$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

The value of $\large\frac{\cos\theta}{1+\sin\theta}$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

A barometer tube reads $76\;cm$ of mercury. If the tube in gradually inclined at an angle of $60^{\circ}$ with vertical , keeping the open end immersed , in mercury reservoir, the length of the mercury column will be

asked Oct 4, 2013 by meena.p

1 answer

In a baro meter as shown in the figure a small hole is made at a point S Density of mercury is $\rho$. The mercury comes out from this hole with speed v equal to

asked Oct 4, 2013 by meena.p

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The value of $\sin(n+1)A\sin(n+2)A+\cos(n+1)A\cos(n+2)A$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

The value of $\cos(45^{\circ}-A)\cos(45^{\circ}-B)-\sin(45^{\circ}-A)\sin(45^{\circ}-B)$ is equal to

asked Oct 4, 2013 by sreemathi.v

1 answer

Which one is not periodic

asked Oct 4, 2013 by sreemathi.v

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The number of solution of $\tan x+\sec x=2\cos x$ in $[0,2\pi]$ is

asked Oct 4, 2013 by sreemathi.v

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Let $f(\theta)=\sin \theta(\sin \theta+\sin 3\theta)$.Then $f(\theta)$ is

asked Oct 4, 2013 by sreemathi.v

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A cylinder of mass m and density $\rho$ hanging from a string is lowered into a vessel of cross. sectional area s containing a liquid of density $ \sigma( < \rho)$ until it is fully immersed. The increase in pressure at the bottom of vessel is

asked Oct 4, 2013 by meena.p

1 answer

The velocity of small ball of mass M and density $d_1$ when dropped in a container filled with glycerin becomes constant after some time. If the density of glycerin is $d_2$ then force acting on the ball

asked Oct 4, 2013 by meena.p

1 answer

For a given material , The young's modulus is 2.4 times that of rigidity modulus. It's Poisson's ratio is ::

asked Oct 4, 2013 by meena.p

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The Comprehensibility of water is $5 \times 10^{-10}\;m^2/N$. It is subjected to a pressure of $15\;M\;pa$. The fraction decrease in volume will be

asked Oct 4, 2013 by meena.p

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The volume of solid rubber ball when it is carried from surface of 200 m deep lake decreases by $0.1\%$ The value for bulk modulus elasticity of rubber will be

asked Oct 4, 2013 by meena.p

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A steel wire of uniform cross- section of $2\;mm^2$ is heated upto $50^{\circ}$ and clamped rigidly at two ends. If the temperature of wire falls to $30^{\circ}$ then change in tension in wire will be , if coefficient of linear expansion of steel is $1.1 \times 10^{-5}/ ^{\circ} C$ and $Y=2 \times 10^{11} N/m^2$

asked Oct 3, 2013 by meena.p

1 answer

Work done in increasing the length of $1\;m$ long wire of cross-sectional area $1\;mm^2$ through $1\;mm$ is $y=2 \times 10^{11}N/m^2$

asked Oct 3, 2013 by meena.p

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Two wire are made of same material and have same volume However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If length of wire 1 is increased by $\Delta x$ on applying force F, how much force is needed to stretch wire 2 by same amount

asked Oct 3, 2013 by meena.p

1 answer

Excess pressure inside one soap bubble is three times that inside second soap bubble. Find the ratio of volume of first bubble to second.

asked Oct 3, 2013 by meena.p

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