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Recent questions tagged 2007
Questions
In a metre bridge experiment, the ratio of the left gap resistance to right gap resistance is $2:3$, the balance point from left is
jeemain
eamcet
physics
2007
q31
asked
Oct 23, 2013
by
meena.p
1
answer
Along the x-axis, three charges $\large\frac{q}{2},$$-q$ and $\large\frac{q}{2}$ are placed at $x=0,x=a$ and $x=2a$ respectively. The resultant electric potential at a point P located at a distance r from the charge -q( a << r) is ($ \varepsilon _0 $ is the permittivity of free space)
jeemain
eamcet
physics
2007
q29
asked
Oct 23, 2013
by
meena.p
1
answer
A bar magnet of magnetic moment M and moment of inertia I is freely suspended such that the magnetic axial line in the direction of magnetic meridian. If the magnet is displaced by a very small angle ($ \theta$), the angular acceleration is (Magnetic induction of earth's horizontal field$=B_H$)
jeemain
eamcet
physics
2007
q28
asked
Oct 23, 2013
by
meena.p
1
answer
A bar-magnet of moment of inertia $49 \times 10^{-2}$ vibrates in a magnetic field of induction $0.5 \times 10^{-4}T.$ The time period of vibration is $8.8 \;s$. The magnetic moment of the bar magnet is
jeemain
eamcet
physics
2007
q27
asked
Oct 22, 2013
by
meena.p
1
answer
In Huygens eyepiece
jeemain
eamcet
physics
2007
q26
asked
Oct 22, 2013
by
meena.p
1
answer
In Ramsden eyepiece , the planoconvex lenses each of focal length f are separated by a distance 12 cm. the equivalent focal length (in cm) of the eyepiece is
jeemain
eamcet
physics
2007
q25
asked
Oct 22, 2013
by
meena.p
1
answer
The refractive index of the material of a double convex lens is 1.5 and its focal length is $5\;cm$. If the ratii of curvature are equal , the value of the radius of curvature (in cm) is
jeemain
eamcet
physics
2007
q24
asked
Oct 22, 2013
by
meena.p
1
answer
Match the following
jeemain
eamcet
physics
2007
q23
asked
Oct 22, 2013
by
meena.p
1
answer
A segment of wire vibrates with a fundamental frequency of $450\;Hz$ under a tension of 9 Kg wt. Then tension at which the fundamental frequency of the same wire becomes 900 Hz is
jeemain
eamcet
physics
2007
q22
asked
Oct 22, 2013
by
meena.p
1
answer
A whistle of frequency 540 Hz rotates in a horizontal circle of radius 2 m at an angular speed of 15 rad/s. The highest frequency heard by a listener at rest with respect to the center of circle (velocity of sound in air = $330 ms^{-1}$)
jeemain
eamcet
physics
2007
q21
asked
Oct 22, 2013
by
meena.p
1
answer
A black body radiates energy at the rate of $E watt/m^2$ at a high temperature T K. When the temperature is reduced to $\bigg(\large\frac{T}{2}\bigg)$K, the radiant energy is
jeemain
eamcet
physics
2007
q20
asked
Oct 22, 2013
by
meena.p
1
answer
Two cylinders A and B fitted with pistons, contain equal number of moles of an ideal monoatomic gas at 400 K. The piston of a is free move while that of B is held fixed. Same amount of heat energy is given to the gas in each cylinder. If the rise in temperature of the gas in A is 42 K. the rise in temperature of the gas in B is $(\gamma=5/3)$
jeemain
eamcet
physics
2007
q19
asked
Oct 22, 2013
by
meena.p
1
answer
The temperature of the system decreases in the process of
jeemain
eamcet
physics
2007
q18
asked
Oct 22, 2013
by
meena.p
1
answer
Two gases A and B having same pressure P, volume V and absolute temperature T are mixed. If the mixture has the volume and temperature as V and T respectively , then the pressure of the mixture is
jeemain
eamcet
physics
2007
q17
asked
Oct 22, 2013
by
meena.p
1
answer
A clock which keeps correct times at $20^{\circ}C$, is subjected to $40^{\circ}$. If coefficient of linear expansion of the pendulum is $12 \times 10^{-6}/^{\circ}$ C. How much will it gain or lose time ?
jeemain
eamcet
physics
2007
q16
asked
Oct 22, 2013
by
meena.p
0
answers
A horizontal pipe of non-uniform cross- section allows water to flow through it with a velocity $1\; ms^{-1}$ when pressure is $50\;kPa$ at a point. If the velocity of flow has to be $2 ms^{-1}$ at some other point the pressure at that point should be
jeemain
eamcet
physics
2007
q15
asked
Oct 22, 2013
by
meena.p
1
answer
The liquid does not wet the solid surface if the angle of contact is
jeemain
eamcet
physics
2007
q14
asked
Oct 22, 2013
by
meena.p
1
answer
When a wire of length 10 m is subjected to a force of 100 N along its length, the lateral strain produced is $0.01 \times 10^{-3}\;m$. The Poisson's ratio was found to be 0.4. If the area of cross- section of wire is $0.025\;m^2$, its young's modulus is
jeemain
eamcet
physics
2007
q13
asked
Oct 22, 2013
by
meena.p
1
answer
The magnitude of maximum acceleration is $\pi$ times that of maximum velocity of a simple harmonic oscillator. The time period of the oscillator in seconds is
jeemain
eamcet
physics
2007
q12
asked
Oct 22, 2013
by
meena.p
1
answer
The mass of a planet is half that of the earth and the radius of the planet is one- fourth that of earth. If we plan to send an artificial satellite from the planet, the escape velocity will be , (escape velocity on earth $v_e=11\;km- s^{-1}$)
jeemain
eamcet
physics
2007
q11
asked
Oct 22, 2013
by
meena.p
1
answer
Two solid spheres (A and B) are made of metals of different densities $p_A$ and $p_B$ respectively. If their masses are equal, the ratio of their moments of inertia $(I_B / I_A)$ about their respective diameter is
jeemain
eamcet
physics
2007
q10
asked
Oct 22, 2013
by
meena.p
1
answer
A bucket filled with water is tied to a rope of length 0.5 m and is rotated in a circular path in vertical plane. The least velocity it should have at the lowest point of circle so that water does not spill is. $(g=10ms^{-2})$
jeemain
eamcet
physics
2007
q9
asked
Oct 22, 2013
by
meena.p
1
answer
A man slides down on a telegraphic pole with an acceleration equal to one-fourth of acceleration due to gravity. The frictional force between man and pole is equal to in terms of man's weight w
jeemain
eamcet
physics
2007
q8
asked
Oct 22, 2013
by
meena.p
1
answer
In two separate collisions, the coefficient of restitutions $e_1$ and $e_2$ are in the ratio $3:1$ . In the first collision the relative velocity of approach is twice the relative velocity of separation, then the ratio between relative velocity of approach and the relative velocity of separation in the second collision is
jeemain
eamcet
physics
2007
q7
asked
Oct 22, 2013
by
meena.p
1
answer
Two bodies of 6 kg and 4 kg masses have their velocity $5 \hat i+ 2 \hat j +10 \hat k$ and $10 \hat i - 2 \hat j -8 \hat k$ respectively. Then the velocity of their center of mass is
jeemain
eamcet
physics
2007
q6
asked
Oct 22, 2013
by
meena.p
1
answer
An object of mass 2m is projected with a speed of $100\;ms^{1}$ at an angle $\theta=\sin ^{-1} \bigg(\large\frac{3}{5}\bigg)$ to the horizontal. At the highest point, the object breaks into two pieces of same mass m and the first one comes to rest. The distance between the point of projection and the point of landing of the bigger piece (in meter) is (Given , $g= 10 m/s^2$)
jeemain
eamcet
physics
2007
q5
asked
Oct 22, 2013
by
meena.p
1
answer
A block of mass $m=25\;kg$ sliding on a smooth horizontal surface with a velocity $v=3\;ms^{-1}$ meets the spring of spring constant $k=100\;n/m$ fixed at one end as shown in figure. Th maximum compression of the spring and velocity of block as it returns to the original position respectively are
jeemain
eamcet
physics
2007
q3
asked
Oct 22, 2013
by
meena.p
1
answer
Velocity and acceleration vectors of charged particle moving perpendicular to the direction of a magnetic field at a given instant of time are $\overrightarrow v=2 \hat i+c \hat j$ and $\overrightarrow a=3 \hat i+4 \hat j$ respectively. Then the value of c is
jeemain
eamcet
physics
2007
q2
asked
Oct 22, 2013
by
meena.p
1
answer
Some physical constants are given in List-I and their dimensional formulae are given in List- II. Match the following
jeemain
eamcet
physics
2007
q1
asked
Oct 22, 2013
by
meena.p
1
answer
The fixed cost of a new product is Rs.18,000 and the variable cost is Rs.550 per unit.If the demand function $p(x)=4000-150x$,find break even points.
isc
class12
modelpaper
2007
sec-c
q14
q14-b
asked
Apr 16, 2013
by
sreemathi.v
1
answer
An insurance company insured 1500 scooter drivers,2500 car drivers and 4500 truck drivers.The probability of a scooter ,a car and a truck meeting with an accident is 0.01,0.02 and 0.04 respectively.If one of the insured persons meets with an accident,find the probability that he is a scooter driver.
isc
class12
modelpaper
2007
sec-c
q15
q15-b
asked
Apr 16, 2013
by
sreemathi.v
1
answer
In a binomial distribution,the sum of its mean and the variance is 1.8.Find the probability of two successes if the event was conducted 5 times.
isc
class12
modelpaper
2007
sec-c
q15
q15-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Mr.Mohan took a loan of Rs. 7,500 on 1st Jan.2005 and agreed to pay Rs.2,250 after 1month,Rs.2,400 after 3 months,Rs.3000 after 4 months and Rs.750 after 5 months in full redemption of his debit.Find the rate of interest charged.
isc
class12
modelpaper
2007
sec-c
q14
q14-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A person borrowed a sum of money and paid it back in 3 equal annual installments of Rs.2,160 each.If the rate of interest charged is 20% p.a. compounded annually,calculate :(i)The sum borrowed (ii) The total interest charged.
isc
class12
modelpaper
2007
sec-c
q13
q13-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
A bill was drawn on 14th June 2006 at 8 months after date and was discounted on 24th September 2006 at 5% p.a.If the banker's gain on the basis of simple interest is Rs. 3,calculate the sum for which the bill was drawn.
isc
class12
modelpaper
2007
sec-c
q13
q13-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
The production of a soft drink company in thousands of litres during each month of a year is as follows :
isc
class12
modelpaper
2007
sec-b
q12
q12-b
asked
Apr 16, 2013
by
sreemathi.v
1
answer
Calculate the index number for 2005 with 2000 as the base year by the weighted aggregate method.
isc
class12
modelpaper
2007
sec-b
q12
q12-a
asked
Apr 16, 2013
by
sreemathi.v
1
answer
Find a unit vector perpendicular to the vectors $4i+3j+k$ and $2i-j+2k$.Determine the sine angle between these two vectors.
isc
class12
modelpaper
2007
sec-b
q11
q11-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
If $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ are three vectors,show that : $(\overrightarrow{a}+\overrightarrow{b}).\{(\overrightarrow{b}+\overrightarrow{c})\times (\overrightarrow{c}+\overrightarrow{a})\}=2[\overrightarrow{a}\; \overrightarrow{b}\;\overrightarrow{c}]$
isc
class12
modelpaper
2007
sec-b
q11
q11-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Prove that the plane $x+2y-z=4$ cuts the sphere $x^2+y^2+z^2-x+z-2=0$ in a circle whose radius is unity.
isc
class12
modelpaper
2007
sec-b
q10
q10-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Find the equation of the plane through the point (1,2,3) and perpendicular to the planes $x+y+2z=3$ and $3x+2y+z=4$.
isc
class12
modelpaper
2007
sec-b
q10
q10-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Solve the differential equation : $x\large\frac{dy}{dx}\normalsize-y=\sqrt {x^2+y^2}$.
isc
class12
modelpaper
2007
sec-a
q9
q9-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Prove that $(1+i\sqrt 3)^8+(1-i\sqrt 3)^8=-2^8$ by using De Moiver's Theorem.
isc
class12
modelpaper
2007
sec-a
q9
q9-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Assuming that on an average one telephone out of 10 is busy,seven telephone numbers are randomly selected and called.Find the probability that three of them will be busy.
isc
class12
modelpaper
2007
sec-a
q8
q8-b
asked
Apr 16, 2013
by
sreemathi.v
1
answer
The bag 'A' contains 3 white and 2 black balls while the bag 'B' contains 2 white and 5 black balls.One of the bags is chosen at random and a ball is drawn from it.What is the probability that the balls is white.
isc
class12
modelpaper
2007
sec-a
q8
q8-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Given two regression lines $4x+3y+7=0$ and $3x+4y+8=0$,determine :
isc
class12
modelpaper
2007
sec-a
q7
q7-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Calculate the coefficient of correlation between X and Y from the following data using Karl Pearson's method :
isc
class12
modelpaper
2007
sec-a
q7
q7-a
asked
Apr 16, 2013
by
sreemathi.v
1
answer
Find the area enclosed by the curves $y^2=x$ and $y^2=4-3x$.
isc
class12
modelpaper
2007
sec-a
q6
q6-b
asked
Apr 16, 2013
by
sreemathi.v
1
answer
Evaluate : $\int_0^{\large \frac{\pi}{4}}\normalsize \log (1+\tan x)dx.$
isc
class12
modelpaper
2007
sec-a
q6
q6-a
asked
Apr 16, 2013
by
sreemathi.v
0
answers
Show that the semi-vertical angle of a cone of maximum volume and of given slant height is $\tan^{-1}(\sqrt 2).$
isc
class12
modelpaper
2007
sec-a
q5
q5-b
asked
Apr 16, 2013
by
sreemathi.v
0
answers
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