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Question Number 24858 Answers: 2 Comments: 0

If three positive numbers a, b, c are in A.P. and (1/a^2 ), (1/b^2 ), (1/c^2 ) also in A.P., then (1) a = b = c (2) 2b = 3a + c (3) b^2 = ((ac)/8) (4) 2c = 2b + a

$If three positive numbers a, b, c are in$ $A . P . and \frac{1}{a^{2}}, \frac{1}{b^{2}}, \frac{1}{c^{2}} also in A . P ., then$ $(1) a = b = c$ $(2) 2 b = 3 a + c$ $(3) b^{2} = \frac{a c}{8}$ $(4) 2 c = 2 b + a$

Question Number 24873 Answers: 0 Comments: 6

A rigid body is made of three identical thin rods, each of length L, fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of legs of H. The body is allowed to fall from rest from a position in which plane of H is horizontal. The angular speed of body when plane of H is vertical is

$A rigid body is made of three identical$ $thin rods, each of length L, fastened$ $together in the form of letter H . The$ $body is free to rotate about a horizontal$ $axis that runs along the length of one of$ $legs of H . The body is allowed to fall$ $from rest from a position in which plane$ $of H is horizontal . The angular speed$ $of body when plane of H is vertical is$

Question Number 24814 Answers: 0 Comments: 3

Question Number 24786 Answers: 1 Comments: 1

A particle of mass m is moving in yz-plane with a uniform velocity v with its trajectory running parallel to +ve y- axis and intersecting z-axis at z = a. The change in its angular momentum about the origin as it bounces elastically from a wall at y = constant is : (1) mvae_x ^∧ (2) 2mvae_x ^∧ (3) ymve_x ^∧ (4) 2ymve_x ^∧

$A particle of mass m is moving in y z - plane$ $with a uniform velocity v with its$ $trajectory running parallel to + ve y -$ $axis and intersecting z - axis at z = a .$ $The change in its angular momentum$ $about the origin as it bounces elastically$ $from a wall at y = constant is :$ $(1) m v a {\overset{\land}{e}}_{x}$ $(2) 2 m v a {\overset{\land}{e}}_{x}$ $(3) y m v {\overset{\land}{e}}_{x}$ $(4) 2 y m v {\overset{\land}{e}}_{x}$

Question Number 24772 Answers: 0 Comments: 13

The ratio of acceleration of points A, B and C is [assume all surfaces are smooth, pulley and strings are light]

$The ratio of acceleration of points A,$ $B and C is [assume all surfaces are$ $smooth, pulley and strings are light]$

Question Number 24739 Answers: 0 Comments: 12

A particle is suspended vertically from point O by ideal string of length L. It is given horizontal velocity ′v′. There is vertical line AB at a distance (L/8) from P. At some point, it leaves circular motion and follows projectile motion. At the instant it crosses AB, its velocity is horizontal. Find u

$A p a r t i c l e i s s u s p e n d e d v e r t i c a l l y$ $f r o m p o i n t O b y i d e a l s t r i n g o f l e n g t h$ $L . I t i s g i v e n h o r i z o n t a l v e l o c i t y^{'} v^{'} .$ $T h e r e i s v e r t i c a l l i n e A B a t a d i s t a n c e$ $\frac{L}{8} f r o m P . A t s o m e p o i n t, i t l e a v e s$ $c i r c u l a r m o t i o n a n d f o l l o w s p r o j e c t i l e$ $m o t i o n . A t t h e i n s t a n t i t c r o s s e s A B,$ $i t s v e l o c i t y i s h o r i z o n t a l . F i n d u$

Question Number 24730 Answers: 0 Comments: 13

Consider a uniform square plate of side a and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

$Consider a uniform square plate of side$ $a and mass m . The moment of inertia$ $of this plate about an axis perpendicular$ $to its plane and passing through one of$ $its corners is$

Question Number 24716 Answers: 1 Comments: 0

A 2.2 kg block starts from rest on a rough inclined plane that makes an angle of 25° with the horizontal. The coefficient of kinetic friction is 0.25. As the block goes 2 m down the plane, the mechanical energy of the Earth-block system changes by

$A 2.2 kg block starts from rest on a$ $rough inclined plane that makes an$ $angle of 25 ° with the horizontal . The$ $coefficient of kinetic friction is 0.25 . As$ $the block goes 2 m down the plane, the$ $mechanical energy of the Earth - block$ $system changes by$

Question Number 24712 Answers: 0 Comments: 3

Question Number 24667 Answers: 0 Comments: 0

Question Number 24662 Answers: 1 Comments: 0

solve ∣x^2 −4x−5∣=7

$s o l v e ∣ x^{2} - 4 x - 5 ∣= 7$

Question Number 24647 Answers: 0 Comments: 0

Question Number 24635 Answers: 0 Comments: 0

Calculate the electric potential at a point P at a distance of 3m of either charges of +20 μC and − 15μC. which are 25cm apart. Also calculate potential energy of a +3.5μC placed at point P.

$Calculate the electric potential at a point P at a distance of 3 m of either$ $charges of + 20 μ C and - 15 μ C . which are 25 cm apart .$ $Also calculate potential energy of a + 3.5 μ C placed at point P .$

Question Number 24644 Answers: 2 Comments: 0

The density of a non-uniform rod of length 1 m is given by ρ(x) = a(1 + bx^2 ) where a and b are constants and 0 ≤ x ≤ 1. The centre of mass of the rod will be at (1) ((3(2 + b))/(4(3 + b))) (2) ((4(2 + b))/(3(3 + b))) (3) ((3(3 + b))/(4(2 + b))) (4) ((4(3 + b))/(3(2 + b)))

$The density of a non - uniform rod of$ $length 1 m is given by ρ (x) = a (1 + {b x}^{2})$ $where a and b are constants and$ $0 ⩽ x ⩽ 1 . The centre of mass of the rod$ $will be at$ $(1) \frac{3 (2 + b)}{4 (3 + b)}$ $(2) \frac{4 (2 + b)}{3 (3 + b)}$ $(3) \frac{3 (3 + b)}{4 (2 + b)}$ $(4) \frac{4 (3 + b)}{3 (2 + b)}$

Question Number 24631 Answers: 1 Comments: 0

Question Number 24628 Answers: 0 Comments: 1

Question Number 24539 Answers: 0 Comments: 1

Question Number 24526 Answers: 2 Comments: 1

Question Number 24520 Answers: 2 Comments: 0

A particle moves in a straight line along x-axis. At t = 0 it passes origin with some velocity towards positive x-axis and with an acceleration a which is given as, a = − Kx, where x is in metre and K is a positive constant. The time at which its velocity becomes half of its value at t = 0 for the first time, is

$A particle moves in a straight line along$ $x - axis . At t = 0 it passes origin with$ $some velocity towards positive x - axis$ $and with an acceleration a which is$ $given as, a = - K x, where x is in metre$ $and K is a positive constant . The time$ $at which its velocity becomes half of its$ $value at t = 0 for the first time, is$

Question Number 24482 Answers: 0 Comments: 4

Neglecting friction and mass of pulleys, what is the acceleration of mass B?

$Neglecting friction and mass of pulleys,$ $what is the acceleration of mass B ?$

Question Number 24479 Answers: 0 Comments: 0

Describe the energy transformations that take place when a skier starts sking down a hill, but after a time is brought to rest by striking a snowdrift.

$Describe the energy transformations$ $that take place when a skier starts$ $sking down a hill, but after a time is$ $brought to rest by striking a snowdrift .$

Question Number 24477 Answers: 1 Comments: 2

A particle moving horizonatally collides perpendiculrly at one end of a rod having equal mass and placed on a horizontal surface. The book says that particle will continue to move along the same direction regardless of value of e (coefficient of restitution). I did not understand the logic. please help.

$A particle moving horizonatally$ $collides perpendiculrly at one end$ $of a rod having equal mass and$ $placed on a horizontal surface .$ $The book says that particle will$ $continue to move along the same$ $direction regardless of value of$ $e (coefficient of restitution) .$ $I did not understand the logic .$ $please help .$

Question Number 24465 Answers: 0 Comments: 3

Two blocks of masses m_1 and m_2 are placed in contact with each other on a horizontal platform. The coefficient of friction between the platform and the two blocks is the same. The platform moves with an acceleration. The force of interaction between the blocks is

$Two blocks of masses m_{1} and m_{2} are$ $placed in contact with each other on a$ $horizontal platform . The coefficient of$ $friction between the platform and the$ $two blocks is the same . The platform$ $moves with an acceleration . The force$ $of interaction between the blocks is$

Question Number 24460 Answers: 0 Comments: 3

A uniform rod of AB of mass m=1.12 kg and lengtj l=100cm is placed on a sharp support O such that AO=a=40cm. To keep the rod horizontal, its end A is ties with a thread. Calculate reaction of support O on the rod when the thread is burnt. (g=10 m∙s^(−2) )

$A uniform rod of AB of mass$ $m = 1.12 kg and lengtj l = 100 cm is$ $placed on a sharp support O such that$ $AO = a = 40 c m . To keep the rod$ $horizontal, its end A is ties with a$ $thread . Calculate reaction of support$ $O on the rod when the thread is burnt .$ $(g = 10 m \cdot s^{- 2})$

Question Number 24434 Answers: 0 Comments: 0

Two cylindrical hollow drums of radii R and 2R, and of a common height h, are rotating with angular velocities ω (anti-clockwise) and ω (clockwise), respectively. Their axes, fixed are parallel and in a horizontal plane separated by (3R + δ). They are now brought in contact (δ → 0). (a) Show the frictional forces just after contact. (b) Identify forces and torques external to the system just after contact. (c) What would be the ratio of final angular velocities when friction ceases?

$Two cylindrical hollow drums of radii$ $R and 2 R, and of a common height h,$ $are rotating with angular velocities ω$ $(anti - clockwise) and ω (clockwise),$ $respectively . Their axes, fixed are$ $parallel and in a horizontal plane$ $separated by (3 R + δ) . They are now$ $brought in contact (δ \to 0) .$ $(a) Show the frictional forces just after$ $contact .$ $(b) Identify forces and torques external$ $to the system just after contact .$ $(c) What would be the ratio of final$ $angular velocities when friction ceases ?$

Question Number 24436 Answers: 0 Comments: 0

For a reversible reaction A ⇌ B. Find K_(eq) at 2727°C temperature. Given : Δ_r H° = −30 kJ mol^(−1) (at 2727°C) Δ_r S° = 10 JK^(−1) (at 2727°C) R = 8.314 JK^(−1) mol^(−1)

$For a reversible reaction A ⇌ B . Find$ $K_{eq} at 2727 ° C temperature .$ $Given : Δ_{r} H ° = - 30 kJ {mol}^{- 1} (at 2727 ° C)$ $Δ_{r} S ° = 10 {JK}^{- 1} (at 2727 ° C)$ $R = 8.314 {JK}^{- 1} {mol}^{- 1}$

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