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)

  1. 0    
  2. open parentheses fraction numerator m subscript 1 end subscript plus m subscript 2 end subscript minus m subscript 3 end subscript over denominator m subscript 4 end subscript end fraction close parentheses g    
  3. 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    
  4. fraction numerator g over denominator 4 end fraction    

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

Book A Free Demo

+91

Grade*

Related Questions to study

General
physics-

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
General
maths-

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

maths-General
General
maths-

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:

maths-General
General
maths-

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 –

maths-General
General
physics-

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
General
maths-

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

maths-General
General
maths-

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

maths-General
General
maths-

P(a costheta, b sintheta) is any point 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 + fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction = 1 left parenthesis a greater than b right parenthesis Now if this ellipse is rotated anticlockwise by 90º and P reaches straight P to the power of straight prime then co-ordinate of straight P to the power of straight prime are -

P(a costheta, b sintheta) is any point 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 + fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction = 1 left parenthesis a greater than b right parenthesis Now if this ellipse is rotated anticlockwise by 90º and P reaches straight P to the power of straight prime then co-ordinate of straight P to the power of straight prime are -

maths-General
General
maths-

Normal to the ellipse fraction numerator x to the power of 2 end exponent over denominator 84 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 49 end fraction equals 1 intersects the major and minor axis at P and Q respectively then locus of the point dividing segment PQ in 2 : 1 is -

Equation of normal 8x sectheta – 7y cosectheta = 15
P open parentheses fraction numerator 15 over denominator 8 end fraction cos invisible function application theta comma 0 close parentheses, Q open parentheses 0 comma fraction numerator negative 15 over denominator 7 end fraction sin invisible function application theta close parentheses

3h = fraction numerator 15 over denominator 8 end fraction cos invisible function application theta, 3k = negative fraction numerator 30 over denominator 7 end fraction sin invisible function application theta
costheta = fraction numerator 8 h over denominator 5 end fraction, sintheta = fraction numerator negative 7 k over denominator 10 end fraction
hence locus fraction numerator 64 x to the power of 2 end exponent over denominator 25 end fraction plus fraction numerator 49 y to the power of 2 end exponent over denominator 100 end fraction = 1

Normal to the ellipse fraction numerator x to the power of 2 end exponent over denominator 84 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 49 end fraction equals 1 intersects the major and minor axis at P and Q respectively then locus of the point dividing segment PQ in 2 : 1 is -

maths-General
Equation of normal 8x sectheta – 7y cosectheta = 15
P open parentheses fraction numerator 15 over denominator 8 end fraction cos invisible function application theta comma 0 close parentheses, Q open parentheses 0 comma fraction numerator negative 15 over denominator 7 end fraction sin invisible function application theta close parentheses

3h = fraction numerator 15 over denominator 8 end fraction cos invisible function application theta, 3k = negative fraction numerator 30 over denominator 7 end fraction sin invisible function application theta
costheta = fraction numerator 8 h over denominator 5 end fraction, sintheta = fraction numerator negative 7 k over denominator 10 end fraction
hence locus fraction numerator 64 x to the power of 2 end exponent over denominator 25 end fraction plus fraction numerator 49 y to the power of 2 end exponent over denominator 100 end fraction = 1
General
physics-

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

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

physics-General
General
biology

Legume plants are important for crop production because they :

Legume plants are important for crop production because they :

biologyGeneral
General
maths-

The limiting value of (cos x)1/sin x as x → 0 is :

The limiting value of (cos x)1/sin x as x → 0 is :

maths-General
General
maths-

Let f : R → R be a differentiable function satisfying f (x) = f (x – y) f (y) " x, y Î R and f ¢ (0) = a, f ¢ (2) = b then f ¢ (-2) is

Let f : R → R be a differentiable function satisfying f (x) = f (x – y) f (y) " x, y Î R and f ¢ (0) = a, f ¢ (2) = b then f ¢ (-2) is

maths-General
General
physics-

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
General
physics-

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