List of practice Questions

Two cells are connected between points $A$ and $B$ as shown Cell 1 has emf of $12 V$ and internal resistance of $3 \Omega$ Cell 2 has emf of $6 V$ and internal resistance of $6 \Omega$ An external resistor $R$ of $4 \Omega$ is connected across $A$ and $B$ The current flowing through $R$ will be ___A

A body of mass $1 kg$ collides head on elastically with a stationary body of mass $3 kg$ After collision, the smaller body reverses its direction of motion and moves with a speed of $2 m / s$ The initial speed of the smaller body before collision is ___ $ms ^{-1}$

Two long parallel wires carrying currents $8 A$ and $15 A$ in opposite directions are placed at a distance of $7 cm$ from each other A point $P$ is at equidistant from both the wires such that the lines joining the point $P$ to the wires are perpendicular to each other The magnitude of magnetic field at $P$ is___$\times 10^{-6} T$(Given : $\sqrt{2}=1.4$ )

An object is placed on the principal axis of convex lens of focal length $10 cm$ as shown A plane mirror is placed on the other side of lens at a distance of $20 cm$ The image produced by the plane mirror is $5 cm$ inside the mirror The distance of the object from the lens is ___$cm$

A train blowing a whistle of frequency $320 Hz$ approaches an observer standing on the platform at a speed of $66 m / s$ .The frequency observed by the observer will be ____ Hz,
(Given speed of sound $=330 ms ^{-}$ 1)

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $R$
Assertion A: Efficiency of a reversible heat engine will be highest at $-273^{\circ} C$ temperature of cold reservoir
Reason R: The efficiency of Carnot's engine depends not only on temperature of cold reservoir but it depends on the temperature of hot reservoir too and is given as $n =\left(1-\frac{T_2}{T_1}\right)$
In the light of the above statements, choose the correct answer from the options given below

Match List I with List II:

List I		List II
A.	Attenuation	I.	Combination of a receiver and transmitter
B.	Transducer	II.	Process of retrieval of information from the carrier wave at received
C.	Demodulation	III.	Converts one form of energy into another
D.	Repeater	IV.	Loss of strength of a signal while propagating through a medium

Choose the correct answer from the options given below :

Match List I with List II:

List I		List II
A	AC generator	i	Presence of both L and C
B	Transformer	ii	Electromagnetic Induction
C	Resonance phenomenon to occur	iii	Quality factor
D	Sharpness of resonance	iv	Mutual Induction

Choose the correct answer from the options given below:

Given below are two statements :
Statement I: Stopping potential in photoelectric effect does not depend on the power of the light source
Statement II: For a given metal, the maximum kinetic energy of the photoelectron depends on the wavelength of the incident light.
In the light of above statements, choose the most appropriate answer from the options given below

An object moves with speed $v_1, v_2$ and $v_3$ along a line segment $AB , BC$ and $C D$ respectively as shown in figure Where $AB = BC$ and $AD =3 AB$, then average speed of the object will be:

A wire of length $1 m$ moving with velocity $8 m / s$ at right angles to a magnetic field of $2 T$ The magnitude of induced emf, between the ends of wire will be ______

The complex number $z=\frac{i-1}{\cos \frac{\pi}{3}+i \sin \frac{\pi}{3}}$ is equal to :

A body of mass is taken from earth surface to the height $h$ equal to twice the radius of earth $\left(R_e\right)$ the inerease in potential energy will be:( $g$ = acceleration due to gravity on the surface of Earth)

Among the relations
$S=\left\{(a, b): a, b \in R -\{0\}, 2+\frac{a}{b}>\right\}$
and $T=\left\{(a, b): a, b \in R , a^2-b^2 \in Z\right\}$,

Match List I with List II

List I		List II
A.	Troposphere	I.	Approximate 65-75 km over Earth’s surface
B.	E- Part of Stratosphere	II.	Approximate 300 km over Earth’s surface
C.	F2- Part of Thermosphere	III.	Approximate 10 km over Earth’s surface
D.	D- Part of Stratosphere	IV.	Approximate 100 km over Earth’s surface

Choose the correct answer from the options given below:

Let the mean and standard deviation of marks of class A of $100$ students be respectively $40$ and $\alpha$ (> 0 ), and the mean and standard deviation of marks of class B of $n$ students be respectively $55$ and 30 $-\alpha$. If the mean and variance of the marks of the combined class of $100+ n$ students are respectively $50$ and $350$ , then the sum of variances of classes $A$ and $B$ is :

A force is applied to a steel wire ' $A$ ', rigidly clamped at one end As a result elongation in the wire is $02\, mm$ If same force is applied to another steel wire ' $B$ ' of double the length and a diameter $24$ times that of the wire ' $A$ ', the elongation in the wire ' $B$ ' will be (wires having uniform circular cross sections)

The graph between two temperature scales $P$ and $Q$ is shown in the figure Between upper fixed point and lower fixed point there are 150 equal divisions of scale $P$ and 100 divisions on scale $Q$ : The relationship for conversion between the two scales is given by:-

For a moving coil galvanometer, the deflection in the coil is $005$ rad when a current of $10 \,mA$ is field is $0,01 \,T$ and the number of turns in the coil is $200$ , the area of each tum (in $cm ^2$ ) is :

The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are:-
A. Real
B. Erect
C. Smaller in size then object
D. Laterally inverted
Choose the most appropriate answer from the options given below:

The equivalent resistance between A and B is _________.

According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is:-

If the equation of the plane passing through the point $(1,1,2)$ and perpendicular to the line $x-3 y+$ $2 z-1=0=4 x-y+z$ is $A t+ B y+ C z=1$, then $140( C - B + A )$ is equal to______

If for log_{cos x} (cot x) - 4log_{(sin x)} cot x = 1, x = sin^-1 $(\frac{\alpha+\sqrt{\beta}}{2})$. Find (α + β), given x ∈ $(0,\frac{\pi}{2})$

Match List I with List II

	List I		List II
A.	Young's Modulus (Y)	I.	[M L^-1 T^-1 ]
B.	Co-efficient of Viscosity (η)	II.	[M L² T^-1 ]
C.	Planck's Constant (h)	III.	[M L^-1 T^-2 ]
D.	Work Function (ϕ)	IV.	[M L² T^-2 ]

Choose the correct answer from the options given below: