1. If C and R denote capacitance and resistance, the dimensional formula of CR is

AIPMT 1988 Physical World, Units and Measurements

2. If in a photoelectric cell, the wavelength of incident light is changed from 4000 Å to 3000 Å then change in stopping potential will be

JIPMER 2015 Dual Nature Of Radiation And Matter

3. The velocity of sound in any gas depends upon

AIPMT 1988 Oscillations

4. A parallel plate capacitor of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants $K_1,K_2 \ and \ K_3$ as shown. If a single dielectric material is to be used to have the same capacitance C in this capacitor then its dielectric constant K is given by

IIT JEE 2000 Electrostatic Potential And Capacitance

5. An object is kept on a smooth inclined plane of 1 in $l$. The horizontal acceleration to be imparted to the inclined plane so that the object is stationary relative to the incline is

JIPMER 2014 Laws Of Motion

6. A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. Which figure represents the track of its centre of mass?

AIIMS 2005 System Of Particles And Rotational Motion

7. The increase in pressure required to decrease the 200 L volume of a liquid by 0.004% (in kPa) is (Bulk modulus of the liquid ==2100 MPa)

Maharashtra CET 2006 Mechanical Properties Of Solids

8. A circle of radius a has charge density given by $\lambda = \lambda_0 \ cos^2 \ \theta$ on its circumference. What will be the total charge on the circle?

Gujarat CET 2008 Electric Charges And Fields

9. For ensuring dissipation of same energy in all three resistors $(R_1,R_2,R_3)$ connected as shown in figure, their values must be related as

AIIMS 2005 Electromagnetic Induction

10. In the shown arrangement of the experiment of the meter bridge if AC corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire AB is doubled ?

IIT JEE 2003 Current Electricity

1. Which of the following solutions will have pH close to 1.0 ?

IIT JEE 1992 Equilibrium

2. A gas that cannot be collected over water is

IIT JEE 1985 The p-Block Elements - Part2

3. The most convenient method to protect the bottom of the ship made of iron is

AIPMT 2001 Electrochemistry

4. Extra pure $N_2$ can be obtained by heating

IIT JEE 2011 The p-Block Elements - Part2

5. The correct order of ionic radii of $Y^{3+},La^{3+},Eu^{3+}$ and $Lu^{3+} is$ (At. no. Y = 39, La = 57, Eu = 63, Lu = 71)

AIPMT 2003 The d-and f-Block Elements

6. Spin only magnetic moment of the compound $Hg[Co(SCN)_4]$ is

IIT JEE 2004 Coordination Compounds

7. In the alumino-thermite process, aluminium acts as

IIT JEE 1983 General Principles and Processes of Isolation of Elements

8. Moderate electrical conductivity is shown by

IIT JEE 1982 The p-Block Elements

9. On the basis of the information available from the reaction. $\ce{ \frac {4}{3}Al+O_2 -> \frac {2}{3}Al_2O_3, ΔG=-827 kJ \ mol ^{-1}}$ of $O_2,$ the minimum EMF required to carry out the electrolysis of $\ce{Al_2O_3 }$ is $\ce{ (F = 96500 C mol^{-1} ) }$

AIPMT 2003 Electrochemistry

10. Diethyl ether on heating with conc. HI gives two moles of

JIPMER 2012 Alcohols Phenols and Ethers

2. Perpendicular are drawn from points on the line $\frac{x+2}{2}=\frac{y+1}{-1}= \frac{z}{3}$ to the plane $x+ y + z = 3$. The feet of perpendiculars lie on the line

JEE Advanced 2013 Introduction to Three Dimensional Geometry

3. If the roots of the equation $x^2 - 2ax + a^2 + a - 3 = 0$ are real and less than 3, then

IIT JEE 1999 Complex Numbers and Quadratic Equations

4. If $\int\limits \frac{\cos \, 8x + 1}{ \tan \, 2x - \cot \, 2x} dx = a \, \cos \, 8x + c ,$ then $a$ =

COMEDK 2015 Integrals

5. Let AB be a chord of the circle $x^2 + y^2 = r^2$ subtending a right angle at the centre. Then, the locus of the centroid of the $\Delta PAB$ as P moves on the circle, is

IIT JEE 2001 Conic Sections

6. The largest interval for which $x^{12} - x^9 + x^4 - x + 1 > 0$ is

IIT JEE 1982 Complex Numbers and Quadratic Equations

7. If the first and the $(2n - 1)th$ term of an $AP, GP$ and $HP$ are equal and their nth terms are $a, b$ and $c$ respectively, then

IIT JEE 1988 Sequences and Series

8. If $^{n-1}C_r =(k^2 -3) \ ^nC_{r+1}$then k belongs to

IIT JEE 2004 Binomial Theorem

9. For $r = 0, 1, ... , 10,$ if $A_r,B_r$ and $C_r$ denote respectively the coefficient of $x^r$ in the expansions of $(1 + x)^{10}, (1 + x)^{20}$ and $(1 + x)^{30}$. Then, $\displaystyle \sum A_r(B_{10}B_r-C_{10}A_r)$ is equal to

IIT JEE 2010 Binomial Theorem

10. A straight line meets the coordinates axes at A and B, so that the centroid of the triangle OAB is (1, 2). Then the equation of the line AB is

COMEDK 2015 Straight Lines

1. Praying mantis is a good example of

AIPMT 2006 Evolution

3. Hair found in the inflorescence of Zea mays are the modification of

AIPMT 2000 Morphology of Flowering Plants

4. Venous heart is found in

Odisha JEE 2012 Animal Kingdom

5. Mango juice is obtained from

AIPMT 1989 Morphology of Flowering Plants

6. Vegetative propagation in Pistia occurs by

AIPMT Mains 2010 Sexual Reproduction in Flowering Plants

7. In which of the following animals nerve cell is present but brain is absent?

AIPMT 2002 Animal Kingdom

8. Dwarfness can be controlled by treating the plant with

AIPMT 1980 Plant Growth and Development

9. Haemocoel is found in

Odisha JEE 2007 Animal Kingdom

10. Vivipary is characteristic of

AIPMT 1990 Morphology of Flowering Plants