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Physics-

General

Easy

Question

For the system shown in the figure, the acceleration of the mass m₄ immediately after the lower thread x is cut will be, (assume that the threads are weightless and inextensible, the spring are weightless, the mass of pulley is negligible and there is no friction)

0
$(\frac{m_{1} + m_{2} - m_{3}}{m_{4}}) g$
$(\frac{m_{1} + m_{2} - m_{3} - m_{4}}{m_{4}}) g$
$\frac{g}{4}$

The correct answer is: $open parentheses fraction numerator m subscript 1 end subscript plus m subscript 2 end subscript minus m subscript 3 end subscript minus m subscript 4 end subscript over denominator m subscript 4 end subscript end fraction close parentheses g$

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Given $m subscript A end subscript equals 30 text end text k g comma text end text m subscript B end subscript equals 10 text end text k g comma text end text m subscript C end subscript equals 20 text end text k g$ . The coefficient of friction between A and B $mu subscript 1 end subscript$ = 0.3, between B and C $mu subscript 2 end subscript$ = 0.2 and between C, and ground, $mu subscript 3 end subscript$ = 0.1. The least horizontal force F to start motion of any part of the system of three blocks resting upon one another as shown in figure is ( g = 10 $m divided by s to the power of 2 end exponent$ )

Given $m subscript A end subscript equals 30 text end text k g comma text end text m subscript B end subscript equals 10 text end text k g comma text end text m subscript C end subscript equals 20 text end text k g$ . The coefficient of friction between A and B $mu subscript 1 end subscript$ = 0.3, between B and C $mu subscript 2 end subscript$ = 0.2 and between C, and ground, $mu subscript 3 end subscript$ = 0.1. The least horizontal force F to start motion of any part of the system of three blocks resting upon one another as shown in figure is ( g = 10 $m divided by s to the power of 2 end exponent$ )

physics-General

$sin invisible function application A plus sin invisible function application B equals square root of 3 left parenthesis cos invisible function application B minus cos invisible function application A right parenthesis not stretchy rightwards double arrow sin invisible function application 3 A plus sin invisible function application 3 B equals$

$sin invisible function application A plus sin invisible function application B equals square root of 3 left parenthesis cos invisible function application B minus cos invisible function application A right parenthesis not stretchy rightwards double arrow sin invisible function application 3 A plus sin invisible function application 3 B equals$

$stack l i m with x rightwards arrow negative 2 below fraction numerator sin to the power of negative 1 end exponent invisible function application left parenthesis x plus 2 right parenthesis over denominator x to the power of 2 end exponent plus 2 x end fraction$ is equal to:

$stack l i m with x rightwards arrow negative 2 below fraction numerator sin to the power of negative 1 end exponent invisible function application left parenthesis x plus 2 right parenthesis over denominator x to the power of 2 end exponent plus 2 x end fraction$ is equal to:

parallel

If the chord through the points whose eccentric angles are $alpha$ and $beta$ on the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ =1 passes through the focus (ae, 0), then the value of tan $fraction numerator alpha over denominator 2 end fraction$ tan $fraction numerator beta over denominator 2 end fraction$ = 0 is –

If the chord through the points whose eccentric angles are $alpha$ and $beta$ on the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ =1 passes through the focus (ae, 0), then the value of tan $fraction numerator alpha over denominator 2 end fraction$ tan $fraction numerator beta over denominator 2 end fraction$ = 0 is –

For a certain mass of a gas Isothermal relation between ‘P’ and ‘V’ are shown by the graphs at two different temperatures T₁ and T₂ then

For a certain mass of a gas Isothermal relation between ‘P’ and ‘V’ are shown by the graphs at two different temperatures T₁ and T₂ then

physics-General

$K equals sin invisible function application open parentheses pi over 18 close parentheses sin invisible function application open parentheses fraction numerator 5 pi over denominator 18 end fraction close parentheses sin invisible function application open parentheses fraction numerator 7 pi over denominator 18 end fraction close parentheses not stretchy rightwards double arrow K equals$

$K equals sin invisible function application open parentheses pi over 18 close parentheses sin invisible function application open parentheses fraction numerator 5 pi over denominator 18 end fraction close parentheses sin invisible function application open parentheses fraction numerator 7 pi over denominator 18 end fraction close parentheses not stretchy rightwards double arrow K equals$

parallel

If the chord joining two points whose eccentric angles are $alpha$ and $beta$ cuts the major axis of an ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction$ + $fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ = 1 at a distance c from the centre, then tan $alpha divided by 2$ . tan $beta divided by 2$ is equal to

If the chord joining two points whose eccentric angles are $alpha$ and $beta$ cuts the major axis of an ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction$ + $fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction$ = 1 at a distance c from the centre, then tan $alpha divided by 2$ . tan $beta divided by 2$ is equal to

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parallel

Given graph gives variation of $fraction numerator P V over denominator T end fraction$ with P for 1gm of oxygen at two different temperatures T₁ and T₂. If density of oxygen $1.427 k g divided by m to the power of 3 end exponent.$ The value of $fraction numerator P V over denominator T end fraction$ at point A and relation $b divided by w T subscript 1 end subscript & T subscript 2 end subscript text is end text$

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physics-General

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parallel

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A thin equiconvex lens of refractive index 3/2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4/3. It is found that when a point object is placed 15 cm above the lens on its principal axis, the object coincides with its own image. If another liquid is filled instead of water, the object and the image coincide at a distance 25 cm from the lens. Calculate the refractive index of the liquid

A thin equiconvex lens of refractive index 3/2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4/3. It is found that when a point object is placed 15 cm above the lens on its principal axis, the object coincides with its own image. If another liquid is filled instead of water, the object and the image coincide at a distance 25 cm from the lens. Calculate the refractive index of the liquid

physics-General

A thin equiconvex lens of refractive index 3/2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4/3. It is found that when a point object is placed 15 cm above the lens on its principal axis, the object coincides with its own image. The radius of curvature of the convex surface is

A thin equiconvex lens of refractive index 3/2 is placed on a horizontal plane mirror as shown in figure. The space between the lens and the mirror is filled with a liquid of refractive index 4/3. It is found that when a point object is placed 15 cm above the lens on its principal axis, the object coincides with its own image. The radius of curvature of the convex surface is

physics-General

parallel

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