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If the number of terms in the expansion of $(1−x2 +x_{2}4 )_{n},x=0,$is 28, then the sum of the coefficients of all the terms in this expansion, is :

For a simle pendulum, a graph is plotted between its kinetic energy (KE) and potential energy (PE) against its displacement d. Which one of the following represents these correctly ? (Graphs are schematic and not drawn to scale)

If $(10)_{9}+2(11)_{1}(10)_{8}+3(11)_{2}(10)_{7}+¨+10(11)_{9}=k(10)_{9}$, then k is equal to

3 g of activated charcoal was added to 50 mL. of acetic acid solution (0.06N) in a flask. After an hour it was filtered and the strength of the filtrate was found to be 0.042 N. The amount of acetic acid adsorbed (per gram of charcoal) is :

Which of the following complex species is not expected to exhibit optical isomerism?

In which of the following pairs of molecules/ions, both the species are not likely to exist?

A train is moving on a straight track with speed $20ms_{−1}$. It is blowing its whistle at the frequency of 1000 Hz. The percentage change in the frequency heard by a person standing near the track as the train passes him is (speed of sound $=320ms_{−1}$) close to :

Let the population of rabbits surviving at a time t be governed by the differential equation $(dpdtt =21 p(t)−200.$If $p(0)=100$, then p(t) equals