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A ball of mass m is given an initial rotation w as shown and allowed to fall from a height h on a rough plate of mass M which rests on a smooth surface.The friction coefficient between the ball and the plate is μand the coef ...

f(x) = tan x+sec x + cosx g(x) = sec2x + secx. tan x - cos x h(x)= (df/dx)/g(x) find h(0)-h(pi/2) ...

Imagine a mechanism by which you can compress and hence vary the internal radius of a ring.In other words , you can make the internal periphery get close or away from the outer periphery.(R ≠r) Statement I - Increasing the ...

Refer Question 15 ...

Statement I - A bullet of mass m strikes the lower end of a vertically hanging rod of mass M and length L as a resullt of which it sticks to it.Angular momentum of the system abt the hinge remains conserved but linear momentu ...

Refer Question 15 ...

Refer Question 15 ...

For the questions Match the columns in 15, 16, 17, 18 15) |x|, a=-1/2, b=1 16) x3, a=-1,b=1 17) sin(cosx), a=0, b=Ï€/2 18) sin(tan x),a=0, b=Î /2 ...

statement I - Direction of friction force on a ball rolling on a horizontal plane will be backwards. statement II - In case of pure rolling the translational velocity of bottom most point of the ball equals radius times the r ...

In a two dimensional oblique elastic collision between two balls ...

Which is the correct definition of power ? Symbols carry their usual meanings. ...

A projectile bursts in mid-air into fragments. The conservation of linear momentum can be applied at ...

Multiple Correct answers 34-37 *Image* A block of mass 5 kg is kept at rest on a rough vertical wall by applying a force 100 N onto it.Take g =10 m/s2 .Then, ...

*Image* Block 1 kg is given an initial velocity 1 m/s towards right.If the location of 1 kg block at any time is given as x1 = 3t + sin t then what is the velocity of block 2 kg as a function of t ? ...

*Image* Initially the balance is held in a horizontal position and then it is released. In which direction the balance will tilt ? ...

At high pressures the vander Waal's (for one mole of gas) equation is reduced to ...

The value of 'a'(L2-atm/mol2) for the gases H2 , CH4 , CO2 , He are given as 0.244, 2.25, 3.59, 0.0341 respectively. Which of these has the highest ease of liquifaction? ...

*Image* A block is at rest on a rough inclined plane.What can be the possible direction of total force exerted by the block on the plane ? ...

Questions 21-23 are based on the following comprehension Real gases deviate from ideal behavior and follows vander Waal's equation which is (P+an2/V2)(V-nb)=nRT where (P+an2/V2) is the pressure correction (intermolecu ...

*Image* What is the graph of acceleration vs displacement (x) ? ...

For the Questions 14-17, there are multiple correct choices If a is the solution of tan(x)=x. then which of the following is not true. ...

With the increase in temperature, activation energy ...

The time required for the reaction to complete upto 99.9% at 700 K is ...

*Image* What's the acceleration of the block , given all pulleys are massless and friction is absent. ...

Find the value of rate constant at temperature of 700 K ...

*Image* If all surfaces are smooth , what is the distance moved by M when m slides down to the bottom most point of the semi-circular track ? ...

Linked comprehension type Questions 17-20 are based on the following comprehension For a hypothetical reaction A→B the graph of logK(s-1) versus 1/T is given as shown in figure. Given tanθ=10000 and temperature at poin ...

A particle's velocity vector is given by the following equation V = 4 cos(wt) i + 4 sin(wt) j in m/s . Find the distance travelled in 3 seconds. ...

STATEMENT-I: O2- is paramagnetic while O2 is diamagnetic. STATEMENT-II: O2- has one unpaired electron and O2 has two unpaired electron. ...

STATEMENT-I: The density of the crystal decreases because of Frenkel defect. STATEMENT-II: In Frenkel defect ions are missing from their lattice sites and occupy interstitial sites. ...