What will be the a vs x graph for the following graph?

The driver of a car travelling with speed $$30 \mathrm{~ms}^{-1}$$ towards a hill sounds a horn of frequency $$600 \math

An interference pattern is observed by Young’s double slit experiment. If now the separation between coherent source is

Two capacitors $$C$$ and $$\frac{C}{2}$$ are connected to a battery of $$V$$ volts, as shown below The work done in cha

A series R-C circuit is connected to AC voltage source. Consider two cases; (A) When C is without a dielectric medium an

A space ship is launched into a circular orbit close to earth’s surface. What additional velocity has now to be imparted

A force $$\mathbf{F}=-k(y \hat{\mathbf{i}}+x \hat{\mathbf{j}})$$ where $$k$$ is a positive constant, acts on a particle

With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is $$2 / 3$$ of the w

Four blocks of same mass connected by strings are pulled by a force $$F$$ on a smooth horizontal surface as shown in fig

What is the maximum height attained by a body projected with a velocity equal to one-third of the escape velocity from t

A block is dragged on a smooth plane with the help of a rope which moves with a velocity v as shown in the figure. The h

A tube of sugar solution $$20 \mathrm{~cm}$$ long is placed between crossed nicols and illuminated with light of wavelen

A long wire having a semicircular loop of radius r carries a current i as shown in figure. The magnetic induction at the

Two satellites $$S_1$$ and $$S_2$$ are revolving round a planet in coplanar circular orbits of radii $$r_1$$ and $$r_2$$

A body of mass $$4 \mathrm{~kg}$$ moving with velocity $$12 \mathrm{~m} / \mathrm{s}$$ collides with another body of mas

The coefficient of cubical expansion of mercury is $$0.00018 /{ }^{\circ} \mathrm{C}$$ and that of brass $$0.00006 /{ }^

The particle of mass $$m$$ is moving in a circular path of constant radius $$r$$ such that its centripetal acceleration

A body of mass $$5 \times 10^{-3} \mathrm{~kg}$$ is launched upon a rough inclined plane making an angle of $$30^{\circ}

A boy is pushing a ring of mass $$3 \mathrm{~kg}$$ and radius $$0.6 \mathrm{~m}$$ with a stick as shown in figure. The s

A load of mass $m$ falls from a height $$h$$ on the scale pan hung from a spring as shown. If the spring constant is $$

In an experiment to measure the height of a bridge by dropping stone into water underneath. If the error in measurement

A conductor lies along the z-axis at $$-1.5 \leq Z \leq 1.5 \mathrm{~m}$$ and carries a fixed current of 10.0 $$\mathrm{

A lens of refractive index $$\mu$$ is put in a liquid of refractive index $$\mu^{\prime}$$. If the focal length of lens

A parallel plate capacitor has an electric field of $$10^5 \mathrm{~Vm}^{-1}$$ between the plates. If the charge on the

In the given figure, the angle of reflection is

A person of weight $$70 \mathrm{~kg}$$ wants to loose $$7 \mathrm{~kg}$$ by going up and down $$12 \mathrm{~m}$$ high st

The current gain of a transistor in common emitter mode is 49. The change in collector current and emitter current corre

A cylindrical conductor AB of non-uniform area of cross-section carries a current of 5A. The radius of the conductor at

One mole of an ideal diatomic gas undergoes transition from A to B along a path AB as shown below. The change in intern

A nuclear explosive is designed to deliver $$1 \mathrm{~MW}$$ power in the form of heat energy. If the explosion is desi

A thin prism $$P_1$$ of angle $$4^{\circ}$$ and refractive index 1.54 is combined with another prism $$P_2$$ of refracti

The effective resistance between p and q in given figure is

Charges $$+q$$ and $$-q$$ are placed at points $$A$$ and $$B$$ respectively which are a distance $$2 L$$ apart, $$C$$ is

In the given figure, $$C$$ is middle point of line $$S_1 S_2$$. A monochromatic light of wavelength $$\lambda$$ is incid

A simple telescope, consisting of an objective of focal length $$60 \mathrm{~cm}$$ and a single eye lens of focal length

A specimen of silicon is to be made $$P$$-type semiconductor for this one atom of indium, on an average, is doped in $$5

The angle of dip, if dip needle oscillating in vertical plane makes 40 oscillations per min in a magnetic meridian and 3

Two batteries, one of emf $$18 \mathrm{~V}$$ and internal resistance $$2 \Omega$$ and the other of emf $$12 \mathrm{~V}$

The Young's double slit experiment is performed with blue and green light of wavelengths 4360 Å and 5460 Å respectively.

A proper combination of $$3 \mathrm{NOT}$$ and 1 NAND gates is shown. If $$A=0, B=1, C=1$$, then the output of this comb

Assertion : For looping a vertical loop of radius, $$r$$ the minimum velocity at lowest point should be $$\sqrt{5 g r}$$

Assertion : A beam of charged particles is employed in the treatment of cancer. Reason : Charged particles on passing th

Assertion : A spring of force constant $k$ is cut into two pieces having lengths in the ratio 1 : 2. The force constant

Assertion : The total kinetic energy of a rolling solid sphere is the sum of translational and rotational kinetic energi

Assertion : In He-Ne laser, population inversion takes place between energy levels of neon atoms. Reason : Helium atoms

Assertion : It is hotter over the top of a fire than at the same distance on the sides. Reason : In the upward direction

Assertion : The average value of alternating emf is $$63.39 \%$$ of the peak value. Reason : The rms value of alternatin

Assertion : Photoelectric effect can take place only with an electron bound in the atom. Reason : Electron is a fermion

Assertion : When $$\theta=45^{\circ}$$ or $$135^{\circ}$$, the value of $$R$$ remains the same, only the sign changes. R

Assertion : In adiabatic expansion the product of $$p$$ and $$V$$ always decreases. Reason : In adiabatic expansion proc

Assertion : Cyclotron does not accelerate electron. Reason : Mass of the electron is very small.

Assertion : The electric field due to a dipole on its axis line at a distance $$r$$ is $$E$$. Then, electric field due t

Assertion : A potentiometer is preferred over that of a voltmeter for measurement of emf of a cell. Reason : Potentiomet

Assertion : The magnetism of magnet is due to the spin motion of electrons. Reason : Dipole moment of electron is smalle

Assertion : The mirror used in search lights are parabolic and not concave spherical. Reason : In concave spherical mirr

Assertion : The molecules of a monoatomic gas has three degrees of freedom. Reason : The molecules of diatomic gas has f

Assertion : Corpuscular theory fails in explaining the velocities of light in air and water. Reason : According to corpu

Assertion : In $$\alpha$$-decay atomic number of daughter nucleus reduces by 2 units from the parent nucleus. Reason : A

Assertion : Angle of deviation depends on the angle of prism. Reason : For thin prism $$\delta=(\mu-1) A$$ Where $$\delt

Assertion : Molar heat capacity cannot be defined for isothermal process. Reason : In isothermal process $$p$$-$$V$$ ver